Solve Fraction Division: 2/5 ÷ 1/4 Step-by-Step

Division means "how many groups" of the second number fit into the first. When you flip the divisor (second fraction), you're asking "how many $\frac{1}{4}$s fit into $\frac{2}{5}$?"

Divide 8 by 5: 8 ÷ 5 = 1 remainder 3. The whole number is 1, and the remainder 3 becomes the new numerator over the same denominator 5, giving $1\frac{3}{5}$.

The reciprocal is what you get when you flip the fraction upside down. For $\frac{1}{4}$, the reciprocal is $\frac{4}{1}$ or just 4.

Yes! $\frac{8}{5}$ and $1\frac{3}{5}$ are both correct. However, mixed numbers are often easier to understand because they show the whole number part clearly.

Multiply your answer by the original divisor: $1\frac{3}{5} \times \frac{1}{4}$. Convert to improper fractions: $\frac{8}{5} \times \frac{1}{4} = \frac{8}{20} = \frac{2}{5}$ ✓