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

Oct 11, 2016

find a common denominator so the two fractions can be added.
which gives $\frac{17}{12}$ or 1 + $\frac{5}{12}$

#### Explanation:

Two terms can only be added if there are the same. $\frac{2}{3}$ and $\frac{3}{4}$ 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

$\frac{4}{4} \times \frac{2}{3} + \frac{3}{3} \times \frac{3}{4}$ This gives

$\frac{8}{12} + \frac{9}{12}$ The two terms can now be added giving

$\frac{17}{12}$ This is an improper fraction that can be rewritten as

$1 \left(\frac{5}{12}\right)$

This is how to evaluate two fractions with different denominators.