Adding and Subtracting Fractions with Same Denominators, Basic Math

Adding and Subtracting Fractions with Same Denominators

III. Fractions and Their Operations : Lecture 1 | 5:17 min

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Adding and Subtracting Fractions with Same Denominators

Add or subtract the fractions: [6/7] − [2/7]

[(4)/(7)]

Add or subtract the fractions: [6/9] − [1/9]

[(5)/(9)]

Add or subtract the fractions: [3/10] + [4/10]

[(7)/(10)]

Add or subtract the fractions: [2/4] + [1/4]

[(3)/(4)]

Add or subtract the fractions: [2/7] + [3/7]

[(5)/(7)]

Add or subtract the fractions: [12/30] + [18/30]

[12/30] + [18/30] = [30/30]
[30/30] = 1

1

Add or subtract the fractions: [12/15] − [8/15]

[(4)/(15)]

Add or subtract the fractions: [8/17] − [4/17]

[(4)/(17)]

Add or subtract the fractions: [11/45] + [13/45]

[(24)/(45)]

Add or subtract the fractions: [12/35] + [16/35]

[(28)/(35)]

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*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

Adding and Subtracting Fractions with Same Denominators

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

Intro

Same Denominator

Extra Example 1: Add or Subtract the Fractions

Extra Example 2: Add or Subtract the Fractions

Extra Example 3: Add or Subtract the Fractions

Extra Example 4: Add or Subtract the Fractions

I. Algebra and Decimals
	Expressions and Variables	5:57
	Exponents	5:34
	Order of Operations	8:40
	Comparing and Ordering Decimals	13:37
	Rounding Decimals	12:31
	Adding and Subtracting Decimals	11:30
	Multiplying Decimals	10:30
	Dividing Decimals	17:49
II. Number Relationships and Fractions
	Prime Factorization	7:00
	Greatest Common Factor	12:47
	Fraction Concepts and Simplest Form	10:03
	Least Common Multiple	14:16
	Comparing and Ordering Fractions	13:10
	Mixed Numbers and Improper Fractions	12:49
	Connecting Decimals and Fractions	15:01
III. Fractions and Their Operations
	Adding and Subtracting Fractions with Same Denominators	5:17
	Adding and Subtracting Fractions with Different Denominators	23:08
	Adding and Subtracting Mixed Numbers	19:44
	Multiplying Fractions and Mixed Numbers	21:32
	Dividing Fractions and Mixed Numbers	18:00
	Distributive Property	11:05
	Units of Measure	16:36
IV. Positive and Negative Numbers
	Integers and the Number Line	13:24
	Adding Integers	16:05
	Subtracting Integers	15:25
	Multiplying Integers	7:33
	Dividing Integers	6:42
	Integers and Order of Operations	11:09
V. Solving Equations
	Writing Expressions	9:15
	Writing Equations	18:03
	Solving Addition and Subtraction Equations	24:53
	Solving Multiplication Equation	19:46
	Solving Division Equation	17:58
VI. Ratios and Proportions
	Ratio	40:21
	Solving Proportions	17:22
	Writing Proportions	22:01
	Similar Polygons	16:31
	Scale Drawings	13:43
	Probability	11:51
VII. Percents
	Percents, Fractions, and Decimals	35:05
	Finding a Percent of a Number	28:18
	Solving Percent Problems	32:31
	Simple Interest	27:09
	Discount and Sales Tax	17:15
VIII. Geometry in a Plane
	Intersecting Lines and Angle Measures	24:17
	Angles of a Triangle	13:35
	Classifying Triangles	15:10
	Quadrilaterals	17:41
	Area of a Parallelogram	12:44
	Area of a Triangle	11:29
	Circumference of a Circle	15:04
	Area of a Circle	14:43
XI. Geometry in Space
	Prisms and Cylinders	21:49
	Volume of a Rectangular Prism	8:59
	Volume of a Triangular Prism	16:15
	Volume of a Cylinder	15:55
	Surface Area of a Prism	23:28
	Surface Area of a Cylinder	27:41
X. Data Analysis and Statistics
	Measures of Central Tendency	24:32
	Histograms	19:43
	Box-and-Whisker Plot	17:54
	Stem-and-Leaf Plots	17:42
	The Coordinate Plane	19:59
XI. Probability and Discrete Mathematics
	Organizing Possible Outcomes	15:35
	Independent and Dependent Events	35:19
	Disjoint Events	12:13
	Probability of an Event Not Occurring	20:05

Mathematics: Basic Math

I. Algebra and Decimals
	Expressions and Variables			5:57
		Intro		0:00
		Vocabulary		0:06
			Variable	0:09
			Expression	0:48
			Numerical Expression	1:08
			Algebraic Expression	1:35
			Word Expression	2:04
		Extra Example 1: Evaluate the Expression		2:27
		Extra Example 2: Evaluate the Expression		3:16
		Extra Example 3: Evaluate the Expression		4:04
		Extra Example 4: Evaluate the Expression		4:59
	Exponents			5:34
		Intro		0:00
		What Exponents Mean		0:07
			Example: Ten Squared	0:08
		Extra Example 1: Exponents		0:50
		Extra Example 2: Write in Exponent Form		1:58
		Extra Example 3: Using Exponent and Base		2:37
		Extra Example 4: Write the Equal Factors		4:26
	Order of Operations			8:40
		Intro		0:00
		Please Excuse My Dear Aunt Sally		0:07
			Step 1: Parenthesis	1:16
			Step 2: Exponent	1:25
			Step 3: Multiply and Divide	1:30
			Step 4: Add and Subtract	2:00
			Example: Please Excuse My Dear Aunt Sally	2:26
		Extra Example 1: Evaluating Expression		3:37
		Extra Example 2: Evaluating Expression		4:59
		Extra Example 3: Evaluating Expression		5:34
		Extra Example 4: Evaluating Expression		6:25
	Comparing and Ordering Decimals			13:37
		Intro		0:00
		Place Value		0:13
			Examples: 1,234,567.89	0:19
		Which is the Larger Value?		1:33
			Which is Larger: 10.5 or 100.5	1:46
			Which is Larger: 1.01 or 1.10	2:24
			Which is Larger: 44.40 or 44.4	4:20
			Which is Larger: 18.6 or 16.8	5:18
		Extra Example 1: Order from Least to Greatest		5:55
		Extra Example 2: Order from Least to Greatest		7:56
		Extra Example 3: Order from Least to Greatest		9:16
		Extra Example 4: Order from Least to Greatest		10:42
	Rounding Decimals			12:31
		Intro		0:00
		Decimal Place Value		0:06
			Example: 12,3454.6789	0:07
		How to Round Decimals		1:17
			Example: Rounding 1,234.567	1:18
		Extra Example 1: Rounding Decimals		3:47
		Extra Example 2: Rounding Decimals		6:10
		Extra Example 3: Rounding Decimals		7:45
		Extra Example 4: Rounding Decimals		9:56
	Adding and Subtracting Decimals			11:30
		Intro		0:00
		When Adding and Subtracting		0:06
			Align the Decimal Point First	0:12
			Add or Subtract the Digits	0:47
			Place the Decimal Point in the Same Place	0:55
			Check by Estimating	1:09
		Examples		1:28
			Add: 3.45 + 7 + 0.835	1:30
			Find the Difference: 351.4 - 65.25	3:34
		Extra Example 1: Adding Decimals		5:32
		Extra Example 2: How Much Money?		6:09
		Extra Example 3: Subtracting Decimals		7:20
		Extra Example 4: Adding Decimals		9:32
	Multiplying Decimals			10:30
		Intro		0:00
		Multiply the Decimals		0:05
			Methods for Multiplying Decimals	0:06
			Example: 1.1 x 6	0:38
		Extra Example 1: Multiplying Decimals		1:51
		Extra Example 2: Work Money		2:49
		Extra Example 3: Multiplying Decimals		5:45
		Extra Example 4: Multiplying Decimals		7:46
	Dividing Decimals			17:49
		Intro		0:00
		When Dividing Decimals		0:06
			Methods for Dividing Decimals	0:07
			Divisor and Dividend	0:37
			Example: 0.2 Divided by 10	1:35
		Extra Example 1 : Dividing Decimals		5:24
		Extra Example 2: How Much Does Each CD Cost?		8:22
		Extra Example 3: Dividing Decimals		10:59
		Extra Example 4: Dividing Decimals		12:08
II. Number Relationships and Fractions
	Prime Factorization			7:00
		Intro		0:00
		Terms to Review		0:07
			Prime vs. Composite	0:12
			Factor	0:54
			Product	1:15
		Factor Tree		1:39
			Example: Prime Factorization	2:01
			Example: Prime Factorization	2:43
		Extra Example 1: Prime Factorization		4:08
		Extra Example 2: Prime Factorization		5:05
		Extra Example 3: Prime Factorization		5:33
		Extra Example 4: Prime Factorization		6:13
	Greatest Common Factor			12:47
		Intro		0:00
		Terms to Review		0:05
			Factor	0:07
			Example: Factor of 20	0:18
		Two Methods		0:59
			Greatest Common Factor	1:00
			Method 1: GCF of 15 and 30	1:37
			Method 2: GCF of 15 and 30	2:58
		Extra Example 1: Find the GCF of 6 and 18		5:16
		Extra Example 2: Find the GCF of 36 and 27		7:43
		Extra Example 3: Find the GCF of 6 and 18		9:18
		Extra Example 4: Find the GCF of 54 and 36		10:30
	Fraction Concepts and Simplest Form			10:03
		Intro		0:00
		Fraction Concept		0:10
			Example: Birthday Cake	0:28
			Example: Chocolate Bar	2:10
		Simples Form		3:38
			Example: Simplifying 4 out of 8	3:46
		Extra Example 1: Graphically Show 4 out of 10		4:41
		Extra Example 2: Finding Fraction Shown by Illustration		5:10
		Extra Example 3: Simplest Form of 5 over 25		7:02
		Extra Example 4: Simplest Form of 14 over 49		8:30
	Least Common Multiple			14:16
		Intro		0:00
		Term to Review		0:06
			Multiple	0:07
			Example: Multiples of 4	0:15
		Two Methods		0:41
			Least Common Multiples	0:44
			Method 1: LCM of 6 and 10	1:09
			Method 2: LCM of 6 and 10	2:56
		Extra Example 1: LCM of 12 and 15		5:09
		Extra Example 2: LCM of 16 and 20		7:36
		Extra Example 3 : LCM of 15 and 25		10:00
		Extra Example 4 : LCM of 12 and 18		11:27
	Comparing and Ordering Fractions			13:10
		Intro		0:00
		Terms Review		0:14
			Greater Than	0:16
			Less Than	0:40
		Compare the Fractions		1:00
			Example: Comparing 2/4 and 3/4	1:08
			Example: Comparing 5/8 and 2/5	2:04
		Extra Example 1: Compare the Fractions		3:28
		Extra Example 2: Compare the Fractions		6:06
		Extra Example 3: Compare the Fractions		8:01
		Extra Example 4: Least to Greatest		9:37
	Mixed Numbers and Improper Fractions			12:49
		Intro		0:00
		Fractions		0:10
			Mixed Number	0:21
			Proper Fraction	0:47
			Improper Fraction	1:30
		Switching Between		2:47
			Mixed Number to Improper Fraction	2:53
			Improper Fraction to Mixed Number	4:41
		Examples: Switching Fractions		6:37
		Extra Example 1: Mixed Number to Improper Fraction		8:57
		Extra Example 2: Improper Fraction to Mixed Number		9:37
		Extra Example 3: Improper Fraction to Mixed Number		10:21
		Extra Example 4: Mixed Number to Improper Fraction		11:31
	Connecting Decimals and Fractions			15:01
		Intro		0:00
		Examples: Decimals and Fractions		0:06
		More Examples: Decimals and Fractions		2:48
		Extra Example 1: Converting Decimal to Fraction		6:55
		Extra Example 2: Converting Fraction to Decimal		8:45
		Extra Example 3: Converting Decimal to Fraction		10:28
		Extra Example 4: Converting Fraction to Decimal		11:42
III. Fractions and Their Operations
	Adding and Subtracting Fractions with Same Denominators			5:17
		Intro		0:00
		Same Denominator		0:11
			Numerator and Denominator	0:18
			Example: 2/6 + 5/6	0:41
		Extra Example 1: Add or Subtract the Fractions		2:02
		Extra Example 2: Add or Subtract the Fractions		2:45
		Extra Example 3: Add or Subtract the Fractions		3:17
		Extra Example 4: Add or Subtract the Fractions		4:05
	Adding and Subtracting Fractions with Different Denominators			23:08
		Intro		0:00
		Least Common Multiple		0:12
			LCM of 6 and 4	0:31
		From LCM to LCD		2:25
			Example: Adding 1/6 with 3/4	3:12
		Extra Example 1: Add or Subtract		6:23
		Extra Example 2: Add or Subtract		9:49
		Extra Example 3: Add or Subtract		14:54
		Extra Example 4: Add or Subtract		18:14
	Adding and Subtracting Mixed Numbers			19:44
		Intro		0:00
		Example		0:05
			Adding Mixed Numbers	0:17
		Extra Example 1: Adding Mixed Numbers		1:57
		Extra Example 2: Subtracting Mixed Numbers		8:13
		Extra Example 3: Adding Mixed Numbers		12:01
		Extra Example 4: Subtracting Mixed Numbers		14:54
	Multiplying Fractions and Mixed Numbers			21:32
		Intro		0:00
		Multiplying Fractions		0:07
			Step 1: Change Mixed Numbers to Improper Fractions	0:08
			Step2: Multiply the Numerators Together	0:56
			Step3: Multiply the Denominators Together	1:03
		Extra Example 1: Multiplying Fractions		1:37
		Extra Example 2: Multiplying Fractions		6:39
		Extra Example 3: Multiplying Fractions		10:20
		Extra Example 4: Multiplying Fractions		13:47
	Dividing Fractions and Mixed Numbers			18:00
		Intro		0:00
		Dividing Fractions		0:09
			Step 1: Change Mixed Numbers to Improper Fractions	0:15
			Step 2: Flip the Second Fraction	0:27
			Step 3: Multiply the Fractions	0:52
		Extra Example 1: Dividing Fractions		1:23
		Extra Example 2: Dividing Fractions		5:06
		Extra Example 3: Dividing Fractions		9:34
		Extra Example 4: Dividing Fractions		12:06
	Distributive Property			11:05
		Intro		0:00
		Distributive Property		0:06
			Methods of Distributive Property	0:07
			Example: a(b)	0:35
			Example: a(b+c)	0:49
			Example: a(b+c+d)	1:22
		Extra Example 1: Using Distributive Property		1:56
		Extra Example 2: Using Distributive Property		4:36
		Extra Example 3: Using Distributive Property		6:39
		Extra Example 4: Using Distributive Property		8:19
	Units of Measure			16:36
		Intro		0:00
		Length		0:05
			Feet, Inches, Yard, and Mile	0:20
			Millimeters, Centimeters, and Meters	0:43
		Mass		2:57
			Pounds, Ounces, and Tons	3:03
			Grams and Kilograms	3:38
		Liquid		4:11
			Gallons, Quarts, Pints, and Cups	4:14
		Extra Example 1: Converting Units		7:02
		Extra Example 2: Converting Units		9:31
		Extra Example 3: Converting Units		12:21
		Extra Example 4: Converting Units		14:05
IV. Positive and Negative Numbers
	Integers and the Number Line			13:24
		Intro		0:00
		What are Integers		0:06
			Integers are all Whole Numbers and Their Opposites	0:09
			Absolute Value	2:35
		Extra Example 1: Compare the Integers		4:36
		Extra Example 2: Writing Integers		9:24
		Extra Example 3: Opposite Integer		10:38
		Extra Example 4: Absolute Value		11:27
	Adding Integers			16:05
		Intro		0:00
		Using a Number Line		0:04
			Example: 4 + (-2)	0:14
			Example: 5 + (-8)	1:50
		How to Add Integers		3:00
			Opposites Add to Zero	3:10
			Adding Same Sign Numbers	3:37
			Adding Opposite Signs Numbers	4:44
		Extra Example 1: Add the Integers		8:21
		Extra Example 2: Find the Sum		10:33
		Extra Example 3: Find the Value		11:37
		Extra Example 4: Add the Integers		13:10
	Subtracting Integers			15:25
		Intro		0:00
		How to Subtract Integers		0:06
			Two-dash Rule	0:16
			Example: 3 - 5	0:44
			Example: 3 - (-5)	1:12
			Example: -3 - 5	1:39
		Extra Example 1: Rewrite Subtraction to Addition		4:43
		Extra Example 2: Find the Difference		7:59
		Extra Example 3: Find the Difference		9:08
		Extra Example 4: Evaluate		10:38
	Multiplying Integers			7:33
		Intro		0:00
		When Multiplying Integers		0:05
			If One Number is Negative	0:06
			If Both Numbers are Negative	0:18
			Examples: Multiplying Integers	0:53
		Extra Example 1: Multiplying Integers		1:27
		Extra Example 2: Multiplying Integers		2:43
		Extra Example 3: Multiplying Integers		3:13
		Extra Example 4: Multiplying Integers		3:51
	Dividing Integers			6:42
		Intro		0:00
		When Dividing Integers		0:05
			Rules for Dividing Integers	0:41
		Extra Example 1: Dividing Integers		1:01
		Extra Example 2: Dividing Integers		1:51
		Extra Example 3: Dividing Integers		2:21
		Extra Example 4: Dividing Integers		3:18
	Integers and Order of Operations			11:09
		Intro		0:00
		Combining Operations		0:21
			Solve Using the Order of Operations	0:22
		Extra Example 1: Evaluate		1:18
		Extra Example 2: Evaluate		4:20
		Extra Example 3: Evaluate		6:33
		Extra Example 4: Evaluate		8:13
V. Solving Equations
	Writing Expressions			9:15
		Intro		0:00
		Operation as Words		0:05
			Operation as Words	0:06
		Extra Example 1: Write Each as an Expression		2:09
		Extra Example 2: Write Each as an Expression		4:27
		Extra Example 3: Write Each Expression Using Words		6:45
	Writing Equations			18:03
		Intro		0:00
		Equation		0:05
			Definition of Equation	0:06
			Examples of Equation	0:58
		Operations as Words		1:39
			Operations as Words	1:40
		Extra Example 1: Write Each as an Equation		3:07
		Extra Example 2: Write Each as an Equation		6:19
		Extra Example 3: Write Each as an Equation		10:08
		Extra Example 4: Determine if the Equation is True or False		13:38
	Solving Addition and Subtraction Equations			24:53
		Intro		0:00
		Solving Equations		0:08
			inverse Operation of Addition and Subtraction	0:09
		Extra Example 1: Solve Each Equation Using Mental Math		4:15
		Extra Example 2: Use Inverse Operations to Solve Each Equation		5:44
		Extra Example 3: Solve Each Equation		14:51
		Extra Example 4: Translate Each to an Equation and Solve		19:57
	Solving Multiplication Equation			19:46
		Intro		0:00
		Multiplication Equations		0:08
			Inverse Operation of Multiplication	0:09
		Extra Example 1: Use Mental Math to Solve Each Equation		3:54
		Extra Example 2: Use Inverse Operations to Solve Each Equation		5:55
		Extra Example 3: Is -2 a Solution of Each Equation?		12:48
		Extra Example 4: Solve Each Equation		15:42
	Solving Division Equation			17:58
		Intro		0:00
		Division Equations		0:05
			Inverse Operation of Division	0:06
		Extra Example 1: Use Mental Math to Solve Each Equation		0:39
		Extra Example 2: Use Inverse Operations to Solve Each Equation		2:14
		Extra Example 3: Is -6 a Solution of Each Equation?		9:53
		Extra Example 4: Solve Each Equation		11:50
VI. Ratios and Proportions
	Ratio			40:21
		Intro		0:00
		Ratio		0:05
			Definition of Ratio	0:06
			Examples of Ratio	0:18
		Rate		2:19
			Definition of Rate	2:20
			Unit Rate	3:38
			Example: $10 / 20 pieces	5:05
		Converting Rates		6:46
			Example: Converting Rates	6:47
		Extra Example 1: Write in Simplest Form		16:22
		Extra Example 2: Find the Ratio		20:53
		Extra Example 3: Find the Unit Rate		22:56
		Extra Example 4: Convert the Unit		26:34
	Solving Proportions			17:22
		Intro		0:00
		Proportions		0:05
			An Equality of Two Ratios	0:06
			Cross Products	1:00
		Extra Example 1: Find Two Equivalent Ratios for Each		3:21
		Extra Example 2: Use Mental Math to Solve the Proportion		5:52
		Extra Example 3: Tell Whether the Two Ratios Form a Proportion		8:21
		Extra Example 4: Solve the Proportion		13:26
	Writing Proportions			22:01
		Intro		0:00
		Writing Proportions		0:08
			Introduction to Writing Proportions and Example	0:10
		Extra Example 1: Write a Proportion and Solve		5:54
		Extra Example 2: Write a Proportion and Solve		11:19
		Extra Example 3: Write a Proportion for Word Problem		17:29
	Similar Polygons			16:31
		Intro		0:00
		Similar Polygons		0:05
			Definition of Similar Polygons	0:06
			Corresponding Sides are Proportional	2:14
		Extra Example 1: Write a Proportion and Find the Value of Similar Triangles		4:26
		Extra Example 2: Write a Proportional to Find the Value of x		7:04
		Extra Example 3: Write a Proportion for the Similar Polygons and Solve		9:04
		Extra Example 4: Word Problem and Similar Polygons		11:03
	Scale Drawings			13:43
		Intro		0:00
		Scale Drawing		0:05
			Definition of a Scale Drawing	0:06
			Example: Scale Drawings	1:00
		Extra Example 1: Scale Drawing		4:50
		Extra Example 2: Scale Drawing		7:02
		Extra Example 3: Scale Drawing		9:34
	Probability			11:51
		Intro		0:00
		Probability		0:05
			Introduction to Probability	0:06
			Example: Probability	1:22
		Extra Example 1: What is the Probability of Landing on Orange?		3:26
		Extra Example 2: What is the Probability of Rolling a 5?		5:02
		Extra Example 3: What is the Probability that the Marble will be Red?		7:40
		Extra Example 4: What is the Probability that the Student will be a Girl?		9:43
VII. Percents
	Percents, Fractions, and Decimals			35:05
		Intro		0:00
		Percents		0:06
			Changing Percent to a Fraction	0:07
			Changing Percent to a Decimal	1:54
		Fractions		4:17
			Changing Fraction to Decimal	4:18
			Changing Fraction to Percent	7:50
		Decimals		10:10
			Changing Decimal to Fraction	10:11
			Changing Decimal to Percent	12:07
		Extra Example 1: Write Each Percent as a Fraction in Simplest Form		13:29
		Extra Example 2: Write Each as a Decimal		17:09
		Extra Example 3: Write Each Fraction as a Percent		22:45
		Extra Example 4: Complete the Table		29:17
	Finding a Percent of a Number			28:18
		Intro		0:00
		Percent of a Number		0:06
			Translate Sentence into an Equation	0:07
			Example: 30% of 100 is What Number?	1:05
		Extra Example 1: Finding a Percent of a Number		7:12
		Extra Example 2: Finding a Percent of a Number		15:56
		Extra Example 3: Finding a Percent of a Number		19:14
		Extra Example 4: Finding a Percent of a Number		24:26
	Solving Percent Problems			32:31
		Intro		0:00
		Solving Percent Problems		0:06
			Translate the Sentence into an Equation	0:07
		Extra Example 1: Solving Percent Problems		0:56
		Extra Example 2: Solving Percent Problems		14:49
		Extra Example 3: Solving Percent Problems		23:44
	Simple Interest			27:09
		Intro		0:00
		Simple Interest		0:05
			Principal	0:06
			Interest & Interest Rate	0:41
			Simple Interest	1:43
		Simple Interest Formula		2:23
			Simple Interest Formula: I = prt	2:24
		Extra Example 1: Finding Simple Interest		3:53
		Extra Example 2: Finding Simple Interest		8:08
		Extra Example 3: Finding Simple Interest		12:02
		Extra Example 4: Finding Simple Interest		17:46
	Discount and Sales Tax			17:15
		Intro		0:00
		Discount		0:19
			Discount	0:20
			Sale Price	1:22
		Sales Tax		2:24
			Sales Tax	2:25
			Total Due	2:59
		Extra Example 1: Finding the Discount		3:43
		Extra Example 2: Finding the Sale Price		6:28
		Extra Example 3: Finding the Sale Tax		11:14
		Extra Example 4: Finding the Total Due		14:08
VIII. Geometry in a Plane
	Intersecting Lines and Angle Measures			24:17
		Intro		0:00
		Intersecting Lines		0:07
			Properties of Lines	0:08
			When Two Lines Cross Each Other	1:55
		Angles		2:56
			Properties of Angles: Sides, Vertex, and Measure	2:57
		Classifying Angles		7:18
			Acute Angle	7:19
			Right Angle	7:54
			Obtuse Angle	8:03
		Angle Relationships		8:56
			Vertical Angles	8:57
			Adjacent Angles	10:38
			Complementary Angles	11:52
			Supplementary Angles	12:54
		Extra Example 1: Lines		16:00
		Extra Example 2: Angles		18:22
		Extra Example 3: Angle Relationships		20:05
		Extra Example 4: Name the Measure of Angles		21:11
	Angles of a Triangle			13:35
		Intro		0:00
		Angles of a Triangle		0:05
			All Triangles Have Three Angles	0:06
			Measure of Angles	2:16
		Extra Example 1: Find the Missing Angle Measure		5:39
		Extra Example 2: Angles of a Triangle		7:18
		Extra Example 3: Angles of a Triangle		9:24
	Classifying Triangles			15:10
		Intro		0:00
		Types of Triangles by Angles		0:05
			Acute Triangle	0:06
			Right Triangle	1:14
			Obtuse Triangle	2:22
		Classifying Triangles by Sides		4:18
			Equilateral Triangle	4:20
			Isosceles Triangle	5:21
			Scalene Triangle	5:53
		Extra Example 1: Classify the Triangle by Its Angles and Sides		6:34
		Extra Example 2: Sketch the Figures		8:10
		Extra Example 3: Classify the Triangle by Its Angles and Sides		9:55
		Extra Example 4: Classify the Triangle by Its Angles and Sides		11:35
	Quadrilaterals			17:41
		Intro		0:00
		Quadrilaterals		0:05
			Definition of Quadrilaterals	0:06
			Parallelogram	0:45
			Rectangle	2:28
			Rhombus	3:13
			Square	3:53
			Trapezoid	4:38
		Parallelograms		5:33
			Parallelogram, Rectangle, Rhombus, Trapezoid, and Square	5:35
		Extra Example 1: Give the Most Exact Name for the Figure		11:37
		Extra Example 2: Fill in the Blanks		13:31
		Extra Example 3: Complete Each Statement with Always, Sometimes, or Never		14:37
	Area of a Parallelogram			12:44
		Intro		0:00
		Area		0:06
			Definition of Area	0:07
		Area of a Parallelogram		2:00
			Area of a Parallelogram	2:01
		Extra Example 1: Find the Area of the Rectangle		4:30
		Extra Example 2: Find the Area of the Parallelogram		5:29
		Extra Example 3: Find the Area of the Parallelogram		7:22
		Extra Example 4: Find the Area of the Shaded Region		8:55
	Area of a Triangle			11:29
		Intro		0:00
		Area of a Triangle		0:05
			Area of a Triangle: Equation and Example	0:06
		Extra Example 1: Find the Area of the Triangles		1:31
		Extra Example 2: Find the Area of the Figure		4:09
		Extra Example 3: Find the Area of the Shaded Region		7:45
	Circumference of a Circle			15:04
		Intro		0:00
		Segments in Circles		0:05
			Radius	0:06
			Diameter	1:08
			Chord	1:49
		Circumference		2:53
			Circumference of a Circle	2:54
		Extra Example 1: Name the Given Parts of the Circle		6:26
		Extra Example 2: Find the Circumference of the Circle		7:54
		Extra Example 3: Find the Circumference of Each Circle with the Given Measure		11:04
	Area of a Circle			14:43
		Intro		0:00
		Area of a Circle		0:05
			Area of a Circle: Equation and Example	0:06
		Extra Example 1: Find the Area of the Circle		2:17
		Extra Example 2: Find the Area of the Circle		5:47
		Extra Example 3: Find the Area of the Shaded Region		9:24
XI. Geometry in Space
	Prisms and Cylinders			21:49
		Intro		0:00
		Prisms		0:06
			Polyhedron	0:07
			Regular Prism, Bases, and Lateral Faces	1:44
		Cylinders		9:37
			Bases and Altitude	9:38
		Extra Example 1: Classify Each Prism by the Shape of Its Bases		11:16
		Extra Example 2: Name Two Different Edges, Faces, and Vertices of the Prism		15:44
		Extra Example 3: Name the Solid of Each Object		17:58
		Extra Example 4: Write True or False for Each Statement		19:47
	Volume of a Rectangular Prism			8:59
		Intro		0:00
		Volume of a Rectangular Prism		0:06
			Volume of a Rectangular Prism: Formula	0:07
			Volume of a Rectangular Prism: Example	1:46
		Extra Example 1: Find the Volume of the Rectangular Prism		3:39
		Extra Example 2: Find the Volume of the Cube		5:00
		Extra Example 3: Find the Volume of the Solid		5:56
	Volume of a Triangular Prism			16:15
		Intro		0:00
		Volume of a Triangular Prism		0:06
			Volume of a Triangular Prism: Formula	0:07
		Extra Example 1: Find the Volume of the Triangular Prism		2:42
		Extra Example 2: Find the Volume of the Triangular Prism		7:21
		Extra Example 3: Find the Volume of the Solid		10:38
	Volume of a Cylinder			15:55
		Intro		0:00
		Volume of a Cylinder		0:05
			Volume of a Cylinder: Formula	0:06
		Extra Example 1: Find the Volume of the Cylinder		1:52
		Extra Example 2: Find the Volume of the Cylinder		7:38
		Extra Example 3: Find the Volume of the Cylinder		11:25
	Surface Area of a Prism			23:28
		Intro		0:00
		Surface Area of a Prism		0:06
			Surface Area of a Prism	0:07
		Lateral Area of a Prism		2:12
			Lateral Area of a Prism	2:13
		Extra Example 1: Find the Surface Area of the Rectangular Prism		7:08
		Extra Example 2: Find the Lateral Area and the Surface Area of the Cube		12:05
		Extra Example 3: Find the Surface Area of the Triangular Prism		17:13
	Surface Area of a Cylinder			27:41
		Intro		0:00
		Surface Area of a Cylinder		0:06
			Introduction to Surface Area of a Cylinder	0:07
		Surface Area of a Cylinder		1:33
			Formula	1:34
		Extra Example 1: Find the Surface Area of the Cylinder		5:51
		Extra Example 2: Find the Surface Area of the Cylinder		13:51
		Extra Example 3: Find the Surface Area of the Cylinder		20:57
X. Data Analysis and Statistics
	Measures of Central Tendency			24:32
		Intro		0:00
		Measures of Central Tendency		0:06
			Mean	1:17
			Median	2:42
			Mode	5:41
		Extra Example 1: Find the Mean, Median, and Mode for the Following Set of Data		6:24
		Extra Example 2: Find the Mean, Median, and Mode for the Following Set of Data		11:14
		Extra Example 3: Find the Mean, Median, and Mode for the Following Set of Data		15:13
		Extra Example 4: Find the Three Measures of the Central Tendency		19:12
	Histograms			19:43
		Intro		0:00
		Histograms		0:05
			Definition and Example	0:06
		Extra Example 1: Draw a Histogram for the Frequency Table		6:14
		Extra Example 2: Create a Histogram of the Data		8:48
		Extra Example 3: Create a Histogram of the Following Test Scores		14:17
	Box-and-Whisker Plot			17:54
		Intro		0:00
		Box-and-Whisker Plot		0:05
			Median, Lower & Upper Quartile, Lower & Upper Extreme	0:06
		Extra Example 1: Name the Median, Lower & Upper Quartile, Lower & Upper Extreme		6:04
		Extra Example 2: Draw a Box-and-Whisker Plot Given the Information		7:35
		Extra Example 3: Find the Median, Lower & Upper Quartile, Lower & Upper Extreme		9:31
		Extra Example 4: Draw a Box-and-Whiskers Plots for the Set of Data		12:50
	Stem-and-Leaf Plots			17:42
		Intro		0:00
		Stem-and-Leaf Plots		0:05
			Stem-and-Leaf Plots	0:06
		Extra Example 1: Use the Data to Create a Stem-and-Leaf Plot		2:28
		Extra Example 2: List All the Numbers in the Stem-and-Leaf Plot in Order From Least to Greatest		7:02
		Extra Example 3: Create a Stem-and-Leaf Plot of the Data & Find the Median and the Mode.		8:59
	The Coordinate Plane			19:59
		Intro		0:00
		The Coordinate System		0:05
			The Coordinate Plane	0:06
			Quadrants, Origin, and Ordered Pair	0:50
		The Coordinate Plane		7:02
			Write the Coordinates for Points A, B, and C	7:03
		Extra Example 1: Graph Each Point on the Coordinate Plane		9:03
		Extra Example 2: Write the Coordinate and Quadrant for Each Point		11:05
		Extra Example 3: Name Two Points From Each of the Four Quadrants		13:13
		Extra Example 4: Graph Each Point on the Same Coordinate Plane		17:47
XI. Probability and Discrete Mathematics
	Organizing Possible Outcomes			15:35
		Intro		0:00
		Compound Events		0:08
			Compound Events	0:09
			Fundamental Counting Principle	3:35
		Extra Example 1: Create a List of All the Possible Outcomes		4:47
		Extra Example 2: Create a Tree Diagram For All the Possible Outcomes		6:34
		Extra Example 3: Create a Tree Diagram For All the Possible Outcomes		10:00
		Extra Example 4: Fundamental Counting Principle		12:41
	Independent and Dependent Events			35:19
		Intro		0:00
		Independent Events		0:11
			Definition	0:12
			Example 1: Independent Event	1:45
			Example 2: Two Independent Events	4:48
		Dependent Events		9:09
			Definition	9:10
			Example: Dependent Events	10:10
		Extra Example 1: Determine If the Two Events are Independent or Dependent Events		13:38
		Extra Example 2: Find the Probability of Each Pair of Events		18:11
		Extra Example 3: Use the Spinner to Find Each Probability		21:42
		Extra Example 4: Find the Probability of Each Pair of Events		25:49
	Disjoint Events			12:13
		Intro		0:00
		Disjoint Events		0:06
			Definition and Example	0:07
		Extra Example 1: Disjoint & Not Disjoint Events		3:08
		Extra Example 2: Disjoint & Not Disjoint Events		4:23
		Extra Example 3: Independent, Dependent, and Disjoint Events		6:30
	Probability of an Event Not Occurring			20:05
		Intro		0:00
		Event Not Occurring		0:07
			Formula and Example	0:08
		Extra Example 1: Use the Spinner to Find Each Probability		7:24
		Extra Example 2: Probability of Event Not Occurring		11:21
		Extra Example 3: Probability of Event Not Occurring		15:51

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Adding and Subtracting Fractions with Same Denominators

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Adding and Subtracting Fractions with Same Denominators

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Add or subtract the fractions: [6/7] − [2/7]

[(4)/(7)]

Add or subtract the fractions: [6/9] − [1/9]

[(5)/(9)]

Add or subtract the fractions: [3/10] + [4/10]

[(7)/(10)]

Add or subtract the fractions: [2/4] + [1/4]

[(3)/(4)]

Add or subtract the fractions: [2/7] + [3/7]

[(5)/(7)]

Add or subtract the fractions: [12/30] + [18/30]

1

Add or subtract the fractions: [12/15] − [8/15]

[(4)/(15)]

Add or subtract the fractions: [8/17] − [4/17]

[(4)/(17)]

Add or subtract the fractions: [11/45] + [13/45]

[(24)/(45)]

Add or subtract the fractions: [12/35] + [16/35]

[(28)/(35)]

Answer

Adding and Subtracting Fractions with Same Denominators

Mathematics: Basic Math

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