# How do you solve b/108=7/18?

Nov 27, 2016

$b = 42$

#### Explanation:

To isolate and solve for $b$, multiple each side of the equation by $109$ and then do the necessary mathematics:

$\frac{108 \cdot b}{108} = \frac{7 \cdot 108}{18}$

$\frac{\cancel{108} \cdot b}{\cancel{108}} = \frac{7 \cdot 108}{18}$

$b = \frac{7 \cdot 6 \cdot 18}{18}$

$b = \frac{7 \cdot 6 \cdot \cancel{18}}{\cancel{18}}$

$b = 7 \cdot 6$

$b = 42$