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Adding Fractions with Like Denominators

Fractions with the same denominators are called like fractions .

To add fractions with like denominators, add the numerators , and write the sum over the denominator.

3 8 + 2 8 = 5 8

Math diagram

Example :

Find 4 9 + 3 9 .

Since the denominators are the same, add the numerators.

4 + 3 9

= 7 9

 

You may get an answer which is not in lowest terms , even if the fractions you were adding and subtracting both were. In this case, you have to reduce the fraction .

7 12 + 1 12 = 8 12 = 8 ÷ 4 12 ÷ 4 = 2 3

Math diagram


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