# How do you solve b/0.6=18?

Jul 3, 2017

$b = 10.8$

#### Explanation:

This is the same as $b \times \frac{1}{0.6} = 18$

Multiply both sides by $\textcolor{red}{0.6}$

color(green)(bxx1/0.6color(red)(xx0.6)" "=" "18color(red)(xx0.6)

$b \times \frac{0.6}{0.6} \text{ "=" } 18 \times 0.6$

But $\frac{0.6}{0.6}$ is the same as the value 1 giving:

$b \times 1 \text{ "=" } 18 \times 0.6$

$b = 18 \times 0.6$
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Suppose the decimal is giving you a problem. This is one of several approaches.

$0.6$ is the same as $6 \times \frac{1}{10}$ so we write:

$b = 18 \times 6 \times \frac{1}{10}$

$b = 108 \times \frac{1}{10}$

$b = 10.8$