Question

In the following exercises, solve.

$\frac{56}{72}=\frac{y}{9}$

Short answer

The simplification of $\frac{56}{72}=\frac{y}{9}$is $y=7$

Step-by-step solution

Step 1. Given Information

An expression:
$\frac{56}{72}=\frac{y}{9}$

Step 2. Isolate the variable.

To isolate the variable, multiply both sides by the LCD $9$

$\frac{56}{72}\left(9\right)=\frac{y}{9}\left(9\right)$

Step 3. Simplify the expression

By simplification,

$$\begin{gathered} y=\frac{56}{72}\times 9 \\ =\frac{7}{9}\times 9 \\ =7 \end{gathered}$$

Step 4. Check the answer

To check our answer, we substitute into the original proportion.

$$\begin{gathered} \frac{56}{72}=\frac{y}{9} \\ \frac{56}{72}=\frac{7}{9} \\ \frac{7}{9}=\frac{7}{9} \end{gathered}$$