Let’s solve each fraction division problem step by step.
Remember: To divide fractions, you
flip the second fraction (that’s called finding its reciprocal) and then
multiply.
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1. $\frac{3}{5} \div \frac{1}{6}$
→ Flip $\frac{1}{6}$ to get $\frac{6}{1}$
→ Multiply: $\frac{3}{5} \times \frac{6}{1} = \frac{18}{5}$
→ That’s $3\frac{3}{5}$ or just leave as $\frac{18}{5}$ — we’ll keep it improper unless told otherwise.
✔ Final for #1: $\frac{18}{5}$
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2. $\frac{1}{2} \div \frac{4}{9}$
→ Flip $\frac{4}{9}$ → $\frac{9}{4}$
→ Multiply: $\frac{1}{2} \times \frac{9}{4} = \frac{9}{8}$
✔ Final for #2: $\frac{9}{8}$
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3. $\frac{3}{7} \div \frac{2}{4}$
First, simplify $\frac{2}{4}$ to $\frac{1}{2}$
→ Now: $\frac{3}{7} \div \frac{1}{2}$
→ Flip $\frac{1}{2}$ → $\frac{2}{1}$
→ Multiply: $\frac{3}{7} \times \frac{2}{1} = \frac{6}{7}$
✔ Final for #3: $\frac{6}{7}$
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4. $\frac{1}{2} \div \frac{1}{8}$
→ Flip $\frac{1}{8}$ → $\frac{8}{1}$
→ Multiply: $\frac{1}{2} \times \frac{8}{1} = \frac{8}{2} = 4$
✔ Final for #4: $4$
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5. $\frac{6}{7} \div \frac{1}{6}$
→ Flip $\frac{1}{6}$ → $\frac{6}{1}$
→ Multiply: $\frac{6}{7} \times \frac{6}{1} = \frac{36}{7}$
✔ Final for #5: $\frac{36}{7}$
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6. $\frac{3}{4} \div \frac{2}{5}$
→ Flip $\frac{2}{5}$ → $\frac{5}{2}$
→ Multiply: $\frac{3}{4} \times \frac{5}{2} = \frac{15}{8}$
✔ Final for #6: $\frac{15}{8}$
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7. $\frac{5}{9} \div \frac{2}{3}$
→ Flip $\frac{2}{3}$ → $\frac{3}{2}$
→ Multiply: $\frac{5}{9} \times \frac{3}{2} = \frac{15}{18}$
→ Simplify: divide numerator and denominator by 3 → $\frac{5}{6}$
✔ Final for #7: $\frac{5}{6}$
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8. $\frac{7}{9} \div \frac{3}{4}$
→ Flip $\frac{3}{4}$ → $\frac{4}{3}$
→ Multiply: $\frac{7}{9} \times \frac{4}{3} = \frac{28}{27}$
✔ Final for #8: $\frac{28}{27}$
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Final Answer:
$\frac{18}{5}, \frac{9}{8}, \frac{6}{7}, 4, \frac{36}{7}, \frac{15}{8}, \frac{5}{6}, \frac{28}{27}$
Parent Tip: Review the logic above to help your child master the concept of math worksheet dividing fractions.