Solve Fraction Division: 1/2 ÷ 3/5 Step-by-Step

Division by a fraction is the same as multiplication by its reciprocal. Think of it this way: dividing by $\frac{3}{5}$ asks "how many $\frac{3}{5}$'s fit into $\frac{1}{2}$?" Flipping and multiplying gives the same answer!

Always flip the second fraction (the divisor). In $\frac{1}{2} \div \frac{3}{5}$, you flip $\frac{3}{5}$ to get $\frac{5}{3}$. The first fraction stays the same!

Improper fractions like $\frac{5}{6}$ are perfectly fine answers! You can leave them as improper fractions or convert to mixed numbers if needed. Always check if the fraction can be simplified first.

Yes! First convert any mixed numbers to improper fractions, then use the flip-and-multiply method. Mixed numbers make the reciprocal step much harder to see.

Multiply your answer by the original divisor. In this case: $\frac{5}{6} \times \frac{3}{5}$ should equal $\frac{1}{2}$. If it matches, you're correct!