Question

Solve:

$\frac{2}{3}+\frac{1}{5}=\frac{1}{x}$

Short answer

$x=\frac{15}{13}$

Step-by-step solution

Step 1. Given information 

$\frac{2}{3}+\frac{1}{5}=\frac{1}{x}$

Step 2. Solving the equation by cross multiplication

$$\begin{gathered} \frac{2}{3}+\frac{1}{5}=\frac{1}{x} \\ \frac{10+3}{15}=\frac{1}{x} \\ \frac{13}{15}=\frac{1}{x} \\ x=\frac{15}{13} \end{gathered}$$