Question

How do you evaluate `2/3 + 3/4`?

Answer 1

find a common denominator so the two fractions can be added.
which gives `17/12` or 1 + `5/12`

Explanation:

Two terms can only be added if there are the same. `2/3` and `3/4` are not the same. The two terms can be made the same by finding a common denominator 3x 4 = 12 so 12 will work as a common denominator.

multiply both the top and the bottom by the factor to make 12

`4/4 xx 2/3 + 3/3 xx 3/4` This gives

`8/12 + 9/12` The two terms can now be added giving

`17/12` This is an improper fraction that can be rewritten as

`1 (5/12)`

This is how to evaluate two fractions with different denominators.