Basic Math Adding and Subtracting Fractions with Same Denominators

Welcome back to Educator.com.0000

This lesson, we are going to add and subtract fractions with common denominators.0002

Right here, this is a fraction; the top number, 1, is called the numerator.0013

This number right here is called the numerator.0022

This bottom number, the 2, is called the denominator.0029

When we add fractions, I have 2/6 plus 5/6; I am adding two fractions together.0042

Let's look at their denominators.0050

The denominator for this fraction is a 6; the denominator for this fraction is a 6.0052

Once the denominators are the same, now they have a common denominator, then I can add the fractions.0059

This 2/6 plus 5/6, I am going to add the numerators together.0068

The numerator for this fraction is 2; the numerator for this fraction is a 5.0075

2 plus 5; that is going to become my numerator for my answer0080

For my denominator, it is going to stay the same as a 6.0088

2/6 plus 5/6 is 7/6.0096

Again the denominators for each fraction has to be the same.0100

Then I take my numerators; I add them together; 2 plus 5 is 7.0105

I do not add my denominators; my denominator has to stay the same as 6.0111

2/6 over 5/6 is going to equal 7/6.0116

Here we are subtracting these fractions, 7/8 minus 1/8.0124

The denominator is the same; here is an 8 here.0130

The denominator for this fraction is an 8.0133

Therefore I can go ahead and subtract them.0136

I am going to do 7 minus 1 which is 6.0139

I take my denominator; that is going to stay the same.0147

Do not subtract your denominators; it is 7 minus 1 which is 6.0150

My denominator must stay the same as 8; 7/8 minus 1/8 is 6/8.0156

My next example, 9/10 plus 3/10.0166

I am going to take my numerators, add them together.0174

It is 9 plus 3 which is 12 over... do not add your denominators.0177

It is going to stay the same as a 10.0186

9/10 plus 3/10 is going to equal 12/10.0189

Again 11/20 plus 9/20, same denominator.0199

I take 11, add it 9; I get 20 over... 20 plus 20?0206

No, you do not add them together; the denominators are 20 here.0216

The denominator for this one has to also be 20.0221

Let's look at this fraction right here; my answer is 20/20.0225

20/20, if the numerator and the denominator are the same, this is equal to 1.0231

My answer would just be 1.0240

The fourth example when we are adding and subtracting fractions, 23/95 plus 6/95.0247

Whenever I add or subtract fractions, I have to make sure that the denominators for both fractions are the same.0258

In this case, the denominator is 95; for this one, the denominator is 95.0265

Since they are the same, I can go ahead and add the fractions together.0270

I take the numerators which is 23 and 6; I am going to add them together.0276

23 plus 6 is 29.0282

For my denominator, denominator here is 95; here is 95.0287

For my answer, the denominator also has to be a 95.0293

You do not add the denominators together; the denominator stays the same as 95.0298

23/95 plus 6/95 is going to equal 29/95.0304

That is it for this lesson; thank you for watching Educator.com.0313