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# How can you add two fractions with denominators of 10 and end up with a sum whose denominator is 5?

Updated: 9/16/2023

Wiki User

14y ago

A fraction with denominator 10 must have an odd numerator for otherwise its numerator and denominator would have 2 as a common factor and it would be simplified so that it would no longer have 10 as a denominator.

So you are adding two odd numerators, both with 10 as the denominator.

The sum of two odds is always even, so the result will be an even sum with 10 as the denominator. So in the answer, 2 is a common factor of the numerator and denominator and the answer can be simplified. If there is no other common factor, then the answer must have a denominator of 5.

Wiki User

14y ago

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Q: How can you add two fractions with denominators of 10 and end up with a sum whose denominator is 5?
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