Question

Solve each equation. Check your solution.

$\frac{3}{4}=w+\frac{2}{5}$

Short answer

The required solution is$w=\frac{7}{20}$

Step-by-step solution

Step 1. Write the given information.

The given equation is:$\frac{3}{4}=w+\frac{2}{5}$

Step 2. Calculation.

Consider the given equation,

$$\begin{gathered} \frac{3}{4}=w+\frac{2}{5} \\ w=\frac{3}{4}-\frac{2}{5} \\ w=\frac{15-8}{20} \\ w=\frac{7}{20} \end{gathered}$$

Step 3. Checking solution.

Substitute $w=\frac{7}{20}$ in the given equation, we get

$\begin{array}{l}\frac{3}{4}=w+\frac{2}{5}\\ \frac{3}{4}=\frac{7}{20}+\frac{2}{5}\\ \frac{3}{4}=\frac{7+8}{20}\\ \frac{3}{4}=\frac{15}{20}\\ \frac{3}{4}=\frac{3}{4}\end{array}$

Hence, proved.