# How do you solve w- \frac { 1} { 5} = 4\frac { 2} { 3}?

Mar 4, 2018

$w = 4 + \frac{13}{15} = \frac{73}{15}$

#### Explanation:

$w - \frac{1}{5} = 4 + \frac{2}{3} | \textcolor{red}{+ \frac{1}{5}}$
$w \cancel{- \frac{1}{5} \textcolor{red}{+ \frac{1}{5}}} = 4 + \frac{2 \cdot \textcolor{g r e e n}{5}}{3 \cdot \textcolor{g r e e n}{5}} \textcolor{red}{+ \frac{1}{5}}$
$w = 4 + \frac{10}{15} + \frac{1 \cdot \textcolor{g r e e n}{3}}{5 \cdot \textcolor{g r e e n}{3}}$
$w = 4 + \frac{13}{15}$

Mar 4, 2018

$w = \frac{73}{15}$ or $4 \frac{13}{15}$

#### Explanation:

$w - \frac{1}{5} = 4 \frac{2}{3}$

$\therefore w = 4 \frac{2}{3} + \frac{1}{5}$

$\therefore w = \frac{14}{3} + \frac{1}{5}$

$\therefore w = \frac{70 + 3}{15}$

$\therefore w = \frac{73}{15}$ or $4 \frac{13}{15}$