# Adding Fractions with the Same Denominator

This video gives examples of how to add fractions with the same denominator. When adding two fractions that have the same denominator, the sum will also contain this denominator.

Adding Fractions with the Same Denominator

## Adding Fractions with the Same Denominator

When you’re dealing with 2 fractions that have the same denominator it’s fairly simple to add or subtract them. Let’s look at a few examples. First, we have 1 over 9, plus 4 over 9. Now in both of these fractions we have a 9 in the denominator, so our solution is also going to have 9 in the denominator.

Then for the numerator all we have to do is add these 2 numerators, 1 plus 4 equals 5, so that’s our solution, 5 over 9. Let’s look at the next one, 2 over 15, plus 8 over 15. Now once again, we have the same number in the denominator, 15, so it’s going to carry through to the solution as well.

Then we just add the 2 numerators, 2 plus 8 equals 10. Now with this fraction we can actually simplify it by reducing the numerator and the denominator. 10 and 15 are both divisible by 5, so if we divide 10 by 5 we get 2, and if we divide 15 by 5 we get 3.

This is also equal to 2 over 3. Let’s look at 1 final example 7 over 12 minus 5 over 12. Now this is subtraction, but we’re going to treat it basically the same as addition. The 12s in the denominator will carry through to the solution, and then we just perform this operation on the 2 numerators, 7 minus 5 is 2.

Once again, we can reduce this fraction, 2 and 12 are both divisible by 2, so we’ll divide 2 by 2 and get 1, and divide 12 by 2 and get 6. This is also equal to 1 over 6.

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by Mometrix Test Preparation | Last Updated: April 23, 2019