# How do you solve g/27=2/9?

Sep 29, 2016

$g = 6$

#### Explanation:

You are only one step away from isolating the variable,$g$, on the left.

$\frac{g}{27} = \frac{2}{9} \text{ } \leftarrow$ multpily by 27 to cancel the denominator

$\frac{\textcolor{red}{27 \times} g}{27} = \frac{\textcolor{red}{27 \times} 2}{9} \text{ } \leftarrow$ multiply on BOTH sides

$\frac{\textcolor{red}{\cancel{27} \times} g}{\cancel{27}} = \frac{\textcolor{red}{{\cancel{27}}^{3} \times} 2}{\cancel{9}} \text{ "larr " isolate } g$

$\rightarrow g = 6$