Let’s solve each problem step by step. Remember: when dividing fractions, you
flip the second fraction (that’s called finding its reciprocal) and then
multiply.
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1)
$\frac{2}{5} \div \frac{3}{4}$
→ Flip $\frac{3}{4}$ to get $\frac{4}{3}$
→ Multiply: $\frac{2}{5} \times \frac{4}{3} = \frac{8}{15}$
2)
$\frac{2}{4} \div \frac{1}{2}$
→ Simplify $\frac{2}{4}$ to $\frac{1}{2}$ first (optional but easier)
→ Flip $\frac{1}{2}$ to get $\frac{2}{1}$
→ Multiply: $\frac{1}{2} \times \frac{2}{1} = \frac{2}{2} = 1$
3)
$\frac{4}{5} \div \frac{2}{3}$
→ Flip $\frac{2}{3}$ to get $\frac{3}{2}$
→ Multiply: $\frac{4}{5} \times \frac{3}{2} = \frac{12}{10} = \frac{6}{5}$ or $1\frac{1}{5}$
4)
$\frac{2}{5} \div \frac{2}{3}$
→ Flip $\frac{2}{3}$ to get $\frac{3}{2}$
→ Multiply: $\frac{2}{5} \times \frac{3}{2} = \frac{6}{10} = \frac{3}{5}$
5)
$\frac{2}{4} \div \frac{1}{5}$
→ Simplify $\frac{2}{4}$ to $\frac{1}{2}$
→ Flip $\frac{1}{5}$ to get $\frac{5}{1}$
→ Multiply: $\frac{1}{2} \times \frac{5}{1} = \frac{5}{2}$ or $2\frac{1}{2}$
6)
$\frac{3}{4} \div \frac{4}{5}$
→ Flip $\frac{4}{5}$ to get $\frac{5}{4}$
→ Multiply: $\frac{3}{4} \times \frac{5}{4} = \frac{15}{16}$
7)
$\frac{1}{2} \div \frac{6}{10}$
→ Flip $\frac{6}{10}$ to get $\frac{10}{6}$ → simplify to $\frac{5}{3}$
→ Multiply: $\frac{1}{2} \times \frac{5}{3} = \frac{5}{6}$
8)
$\frac{1}{2} \div \frac{2}{3}$
→ Flip $\frac{2}{3}$ to get $\frac{3}{2}$
→ Multiply: $\frac{1}{2} \times \frac{3}{2} = \frac{3}{4}$
9)
$\frac{2}{4} \div \frac{3}{10}$
→ Simplify $\frac{2}{4}$ to $\frac{1}{2}$
→ Flip $\frac{3}{10}$ to get $\frac{10}{3}$
→ Multiply: $\frac{1}{2} \times \frac{10}{3} = \frac{10}{6} = \frac{5}{3}$ or $1\frac{2}{3}$
10)
$\frac{2}{3} \div \frac{1}{5}$
→ Flip $\frac{1}{5}$ to get $\frac{5}{1}$
→ Multiply: $\frac{2}{3} \times \frac{5}{1} = \frac{10}{3}$ or $3\frac{1}{3}$
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Final Answer:
1) $\frac{8}{15}$
2) $1$
3) $\frac{6}{5}$ or $1\frac{1}{5}$
4) $\frac{3}{5}$
5) $\frac{5}{2}$ or $2\frac{1}{2}$
6) $\frac{15}{16}$
7) $\frac{5}{6}$
8) $\frac{3}{4}$
9) $\frac{5}{3}$ or $1\frac{2}{3}$
10) $\frac{10}{3}$ or $3\frac{1}{3}$
Parent Tip: Review the logic above to help your child master the concept of dividing fractions worksheet pdf.