Question

Solve the equation. $$\frac{2}{5}=a-\frac{1}{5}$$

Short answer

The solution of the equation is \(a = \frac{3}{5}\)

Step-by-step solution

Setup the equation

The given equation is \(\frac{2}{5} = a - \frac{1}{5}\)

Add fraction to both sides

To isolate \(a\), add \(\frac{1}{5}\) to both sides: \(\frac{2}{5} + \frac{1}{5} = a - \frac{1}{5} + \frac{1}{5}\)

Simplify both sides

Rearrange the terms to obtain: \(\frac{3}{5} = a\)