1. $\frac{1}{4} \div \frac{9}{10} = \frac{1}{4} \times \frac{10}{9} = \frac{10}{36} = \frac{5}{18}$
2. $4\frac{4}{7} \div 1\frac{1}{3} = \frac{32}{7} \div \frac{4}{3} = \frac{32}{7} \times \frac{3}{4} = \frac{96}{28} = \frac{24}{7} = 3\frac{3}{7}$
3. $\frac{7}{10} \div \frac{11}{12} = \frac{7}{10} \times \frac{12}{11} = \frac{84}{110} = \frac{42}{55}$
4. $3\frac{3}{10} \div 1\frac{4}{7} = \frac{33}{10} \div \frac{11}{7} = \frac{33}{10} \times \frac{7}{11} = \frac{231}{110} = \frac{21}{10} = 2\frac{1}{10}$
5. $4\frac{4}{12} \div \frac{4}{5} = \frac{52}{12} \div \frac{4}{5} = \frac{13}{3} \times \frac{5}{4} = \frac{65}{12} = 5\frac{5}{12}$
6. $2\frac{6}{7} \div 5 = \frac{20}{7} \div 5 = \frac{20}{7} \times \frac{1}{5} = \frac{20}{35} = \frac{4}{7}$
7. $3\frac{2}{3} \div \frac{5}{6} = \frac{11}{3} \div \frac{5}{6} = \frac{11}{3} \times \frac{6}{5} = \frac{66}{15} = \frac{22}{5} = 4\frac{2}{5}$
8. $10 \div \frac{10}{20} = 10 \div \frac{1}{2} = 10 \times 2 = 20$
9. $3\frac{3}{5} \div 4\frac{1}{2} = \frac{18}{5} \div \frac{9}{2} = \frac{18}{5} \times \frac{2}{9} = \frac{36}{45} = \frac{4}{5}$
10. $2\frac{1}{9} \div 2\frac{1}{3} = \frac{19}{9} \div \frac{7}{3} = \frac{19}{9} \times \frac{3}{7} = \frac{57}{63} = \frac{19}{21}$
Parent Tip: Review the logic above to help your child master the concept of dividing fractions by fractions worksheet.