To divide fractions, multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator.
Here are the solutions:
1. $\frac{3}{5} \div \frac{1}{6} = \frac{3}{5} \times \frac{6}{1} = \frac{18}{5} = 3\frac{3}{5}$
2. $\frac{1}{2} \div \frac{4}{9} = \frac{1}{2} \times \frac{9}{4} = \frac{9}{8} = 1\frac{1}{8}$
3. $\frac{3}{7} \div \frac{2}{4} = \frac{3}{7} \times \frac{4}{2} = \frac{12}{14} = \frac{6}{7}$
4. $\frac{1}{2} \div \frac{1}{8} = \frac{1}{2} \times \frac{8}{1} = \frac{8}{2} = 4$
5. $\frac{6}{7} \div \frac{1}{6} = \frac{6}{7} \times \frac{6}{1} = \frac{36}{7} = 5\frac{1}{7}$
6. $\frac{3}{4} \div \frac{2}{5} = \frac{3}{4} \times \frac{5}{2} = \frac{15}{8} = 1\frac{7}{8}$
7. $\frac{5}{9} \div \frac{2}{3} = \frac{5}{9} \times \frac{3}{2} = \frac{15}{18} = \frac{5}{6}$
8. $\frac{7}{9} \div \frac{3}{4} = \frac{7}{9} \times \frac{4}{3} = \frac{28}{27} = 1\frac{1}{27}$
Parent Tip: Review the logic above to help your child master the concept of division of fractions worksheet 6th grade.
