Simplify $\frac{3-\frac{2}{5}}{\frac{1}{4}+\frac{3}{8}}$.

Step-by-step solution

1. Simplify the numerator: $3-\frac{2}{5}=\frac{15-2}{5}=\frac{13}{5}$.
2. Simplify the denominator: $\frac{1}{4}+\frac{3}{8}=\frac{2+3}{8}=\frac{5}{8}$.
3. Divide the two fractions: $\frac{\frac{13}{5}}{\frac{5}{8}}=\frac{13}{5}\times \frac{8}{5}$.
4. Multiply numerators: $13\times 8=104$. Multiply denominators: $5\times 5=25$. Result is $\frac{104}{25}$, which can also be written as $4\frac{4}{25}$ or $4.16$.

Concept tested: division of rational numbers

Published 16 October 2026 · How this solution was prepared and checked