# How do you solve 3w= 4 1/5?

Jan 28, 2016

$w = \frac{7}{5}$

#### Explanation:

Use rule $a \frac{b}{c} = \frac{a c + b}{c}$ to simplify $4 \frac{1}{5}$ to $\frac{21}{5}$.

$3 w = \frac{21}{5}$

Multiply both sides by $5$.

$5 \times 3 w = 21$

Simplify.

$15 w = 21$

Divide both sides by $15$.

$w = \frac{21}{15}$

Divide numerator and denominator by GCF $3$ and simplify $\frac{21}{15}$ to $\frac{7}{5}$.

$w = \frac{7}{5}$