# How do you solve 7/b=1/9?

Oct 11, 2016

$b = 63$

#### Explanation:

$\frac{7}{b} = \frac{1}{9}$ is our equation, which we divide, multiply, manipulate, so long as we do it to both sides of the equation.

We can mulitply both sides by $b$:

i.e. $\frac{7}{b} \times b = \frac{b}{9}$;

$7 = \frac{b}{9}$; and now mulitply both sides by $9$:

$7 \times 9 = 63 = b$.