# How do you simplify 2/9 + 1/2?

May 9, 2018

$\frac{13}{18}$

#### Explanation:

To simplify these fractions, you first need a common denominator. We can use the LCM of $9$ and $2$, which is $18$.

$\frac{2}{9} = \left(2 \text{ x " 2)/(9 " x } 2\right) = \frac{4}{18}$

$\frac{1}{2} = \left(1 \text{ x " 9)/(2 " x } 9\right) = \frac{9}{18}$

$\frac{4}{18} + \frac{9}{18} = \textcolor{red}{\frac{13}{18}}$

Because $\frac{13}{18}$ can not be simplified any further (as $13$ is prime), this is your final answer.

May 9, 2018

$\frac{13}{18}$

#### Explanation:

Firstly, you have to find the least common denominator between the two fractions. The lcd is 18 since 9 can be multiplied by 2 to get 18, and 2 can be multiplied by 9 to get 18. You must then multiply the numerator by the number you multiplied the denominator of the same fraction. Doing this you get:
$\frac{4}{18}$+$\frac{9}{18}$=$\frac{13}{18}$
This cannot be reduced any further, therefore $\frac{13}{18}$ is your answer.