# How do you solve 9 1/3 = 5/3n?

Jul 5, 2016

$n = \frac{28}{5} = 5 \frac{3}{5}$

#### Explanation:

Change the proper fraction to an improper fraction.
Then cross multiply because there is ONE fraction on each side of an EQUAL sign.

$\frac{28}{3} = \frac{5 n}{3}$

$5 \times 3 n = 28 \times 3$

$n = \frac{28 \times 3}{5 \times 3}$

$n = \frac{28}{5} = 5 \frac{3}{5}$

OR, solve for $n$ by multiplying by the reciprocal of $\frac{5}{3}$

$\frac{28}{3} \times \textcolor{red}{\frac{3}{5}} = \frac{5 n}{3} \times \textcolor{red}{\frac{3}{5}}$
$n = \frac{28}{5} = 5 \frac{3}{5}$