# How do you solve .06a = 1.2?

Mar 26, 2016

$a = 20$

#### Explanation:

Divide both sides by 0.06.

$a = \frac{1.2}{0.06}$

$= 20$

Mar 26, 2016

$a = 20$

#### Explanation:

To do this without a calculator, write $0.06 = \frac{6}{100} = \frac{3}{50}$.

Then, we have

$\frac{3}{50} a = 1.2$

We can also write $1.2 = 1 + \frac{2}{10} = 1 + \frac{1}{5} = \frac{6}{5}$.

$\frac{3}{50} a = \frac{6}{5}$

Multiply both sides by $\frac{50}{3}$ to isolate $a$.

$a = \frac{6}{5} \times \frac{50}{3}$

We can rearrange this, since multiplication and division are commutative:

$a = \frac{6}{3} \times \frac{50}{5}$

$a = 2 \times 10 = 20$