# How do you solve \frac { y } { 9} = 8.1?

Aug 1, 2017

$y = 72.9$

Refer to the explanation for the process.

#### Explanation:

Solve:

$\frac{y}{9} = 8.1$

Multiply both sides by $9$.

$9 \times \frac{y}{9} = 8.1 \times 9$

Cancel $9$ on the left side.

$\textcolor{red}{\cancel{\textcolor{b l a c k}{{9}^{1}}}} \times \frac{y}{\textcolor{red}{\cancel{\textcolor{b l a c k}{{9}^{1}}}}} = 8.1 \times 9$

Simplify.

$y = 72.9$

Aug 1, 2017

$y = 72.9$

#### Explanation:

We use inverse operations to isolate $y$

$\frac{y}{9} = 8.1$

$\iff$ Multiply both sides by $9$

$y = 9 \left(8.1\right)$

$\iff$ $8.1$ can be split up into $8 + 0.1$

$y = 9 \left(8 + 0.1\right)$

$\iff$ Distribute $9$

$y = 72 + .9$

$\iff$ Add the Terms

$y = 72.9$