Answer
$\frac{3}{10}$
Work Step by Step
Step 1: $\frac{\frac{1}{4}}{\frac{1}{3}+\frac{1}{2}}$
Step 2: $\frac{\frac{1}{4}}{\frac{1\times2}{3\times2}+\frac{1\times3}{2\times3}}$
Step 3: $\frac{\frac{1}{4}}{\frac{2}{6}+\frac{3}{6}}$
Step 4: $\frac{\frac{1}{4}}{\frac{2+3}{6}}$
Step 5: $\frac{\frac{1}{4}}{\frac{5}{6}}$
Step 6: $\frac{1}{4}\div\frac{5}{6}$
Step 7: $\frac{1}{4}\times\frac{6}{5}$
Step 8: $\frac{6}{20}=\frac{3}{10}$
