# How do you simplify 4+(4(5+8))/(15*4)?

Oct 21, 2015

The answer is $\frac{73}{15}$.

#### Explanation:

$4 + \frac{4 \left(5 + 8\right)}{15 \cdot 4}$

Simplify $\left(5 + 8\right)$ to $13$.

$4 + \frac{4 \left(13\right)}{15 \cdot 4}$

Simplify $4 \left(13\right)$ to $52$.

$4 + \frac{52}{15 \cdot 4}$

Simplify $\left(15 \cdot 4\right)$ to $60$.

$4 + \frac{52}{60}$

Simplify $\frac{52}{60}$ to $\frac{13}{15}$.

$4 + \frac{13}{15}$

The LCD is $15$. Multiply $4$ times $\frac{15}{15}$ in order to make the denominators the same.

$4 \cdot \frac{15}{15} + \frac{13}{15} =$

$\frac{60}{15} + \frac{13}{15}$

$\frac{60 + 13}{15} =$
$\frac{73}{15}$