Question

1. $\frac{1}{4}w + \frac{8}{12} = \frac{10}{12}$

Explanation:

Step1: Subtract $\frac{8}{12}$ from both sides

$\frac{1}{4}w + \frac{8}{12} - \frac{8}{12} = \frac{10}{12} - \frac{8}{12}$
$\frac{1}{4}w = \frac{2}{12}$
$\frac{1}{4}w = \frac{1}{6}$

Step2: Multiply both sides by 4

$w = \frac{1}{6} \times 4$
$w = \frac{4}{6}$
$w = \frac{2}{3}$

Answer:

$w = \frac{2}{3}$