# How do you use the distributive property to rewrite and evaluate 36* 3 1/4?

May 9, 2017

See a solution process below:

#### Explanation:

First rewrite this expression as:

$36 \left(3 + \frac{1}{4}\right)$

Now, multiply the term outside the parenthesis by the terms within the parenthesis:

$\textcolor{red}{36} \left(3 + \frac{1}{4}\right) \implies \left(\textcolor{red}{36} \cdot 3\right) + \left(\textcolor{red}{36} \cdot \frac{1}{4}\right) \implies$

$108 + \frac{36}{4} \implies 108 + \frac{4 \times 9}{4} \implies 108 + \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} \times 9}{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}}} \implies$

$108 + 9 \implies$

$117$