# How do you simplify  2/3 + 5/6 ?

Apr 29, 2017

See the solution process below;

#### Explanation:

To add two fractions, both fractions must be over a common denominator.

For this problem the Least Common Denominator is $\textcolor{red}{6}$.

To make the fraction on the left have $6$ as its denominator we must multiply it by the appropriate form of $1$:

$\left(\frac{2}{2} \times \frac{2}{3}\right) + \frac{5}{6} \implies \frac{2 \times 2}{2 \times 3} + \frac{5}{6} \implies \frac{4}{6} + \frac{5}{6}$

Next we can add the numerators over the common denominator:

$\frac{4}{6} + \frac{5}{6} \implies \frac{4 + 5}{6} \implies \frac{9}{6}$

Next, we can factor this fraction as:

$\frac{9}{6} \implies \frac{3 \times 3}{3 \times 2} \implies \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} \times 3}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} \times 2} = \frac{3}{2}$