Question

In the following exercise solve $\frac{3}{y}=\frac{9}{5}$

Short answer

The solution is$y=\frac{5}{3}$

Step-by-step solution

Step 1. Given information

$\frac{3}{y}=\frac{9}{5}$

Step 2. Solve

Multiply both sides by LCD.

$$\begin{gathered} \left(5y\right)\left(\frac{3}{y}\right)=\left(5y\right)\left(\frac{9}{5}\right) \\ 15=9y \\ y=\frac{15}{9} \\ y=\frac{5}{3} \end{gathered}$$