# How do you use the distributive property to rewrite and simplify 15(f+1/3)?

May 29, 2017

See a solution process below:

#### Explanation:

First, to use the distributive property, multiply each term within the parenthesis by the term outside the parenthesis:

$\textcolor{red}{15} \left(f + \frac{1}{3}\right) \implies \left(\textcolor{red}{15} \times f\right) + \left(\textcolor{red}{15} \times \frac{1}{3}\right) \implies$

$15 f + \frac{15}{3}$

To simplify, factor and cancel common terms for the fraction on the right side of the expression:

$15 f + \frac{15}{3} \implies 15 f + \frac{3 \times 5}{3} \implies 15 f + \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} \times 5}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}}} \implies$

$15 f + 5$