Answer
The solution is 4
Work Step by Step
$\frac{b}{4}$ =$\frac{b}{12}$ + $\frac{2}{3}$ Multiply by LCD, 12
12$\frac{b}{4}$ =12$\frac{b}{12}$ + 12$\frac{2}{3}$
$\frac{4\times3 \times b}{4}$ =$\frac{12 \times b}{12}$ + $\frac{4\times3\times2}{3}$
3b =b+8
3b-b=b+8-b
2b=8
$\frac{2b}{2}$=$\frac{8}{2}$
b=4
The solution is 4
Check
Replace b with 4
$\frac{b}{4}$ =$\frac{b}{12}$ + $\frac{2}{3}$
$\frac{4}{4}$ =$\frac{4}{12}$ + $\frac{2}{3}$ LCD is 12
12$\frac{4}{4}$ =12$\frac{4}{12}$ +12 $\frac{2}{3}$
12=4+ 8
12=12
