# How do you use the distributive property to rewrite and evaluate (4 2/7)21?

Dec 12, 2017

See a solution process below:

#### Explanation:

To use the distributive property, first rewrite the term within the parenthesis as:

$\left(4 + \frac{2}{7}\right) 21$

Next, multiply each term within the parenthesis by the term outside the parenthesis:

$\left(4 + \frac{2}{7}\right) \textcolor{red}{21} \implies$

$\left(4 \times \textcolor{red}{21}\right) + \left(\frac{2}{7} \times \textcolor{red}{21}\right) \implies$

$84 + \left(\frac{2}{\textcolor{red}{\cancel{\textcolor{b l a c k}{7}}}} \times \cancel{\textcolor{red}{21}} 3\right) \implies$

$84 + 6 \implies$

$90$