Question

Solve$\frac{1}{4}x+\frac{1}{2}=\frac{5}{8}$

Short answer

The answer is$x=\frac{1}{2}$

Step-by-step solution

Step 1. Given information

The equation is $\frac{1}{4}x+\frac{1}{2}=\frac{5}{8}$.

Find value of x.

Step 2. Calculation

Find LCD of denominators of $\frac{1}{4}x+\frac{1}{2}=\frac{5}{8}$

LCD of 4, 2, 8 is 8.

$8\left(\frac{1}{4}x+\frac{1}{2}\right)=8\left(\frac{5}{8}\right)$

$2x+4=5$

Isolate x

$2x=1$

$x=\frac{1}{2}$