To solve these problems, we use the rule for dividing a whole number by a fraction: multiply the whole number by the reciprocal of the fraction.
The reciprocal of a fraction $\frac{a}{b}$ is $\frac{b}{a}$.
So, for any problem of the form $n \div \frac{a}{b}$, the solution is $n \times \frac{b}{a}$.
Let's solve each one:
- $2 \div \frac{2}{8} = 2 \times \frac{8}{2} = \frac{16}{2} = 8$
- $4 \div \frac{4}{5} = 4 \times \frac{5}{4} = \frac{20}{4} = 5$
- $6 \div \frac{3}{4} = 6 \times \frac{4}{3} = \frac{24}{3} = 8$
- $8 \div \frac{4}{5} = 8 \times \frac{5}{4} = \frac{40}{4} = 10$
- $10 \div \frac{5}{6} = 10 \times \frac{6}{5} = \frac{60}{5} = 12$
- $12 \div \frac{6}{8} = 12 \times \frac{8}{6} = \frac{96}{6} = 16$
- $14 \div \frac{7}{8} = 14 \times \frac{8}{7} = \frac{112}{7} = 16$
- $15 \div \frac{5}{7} = 15 \times \frac{7}{5} = \frac{105}{5} = 21$
- $16 \div \frac{8}{9} = 16 \times \frac{9}{8} = \frac{144}{8} = 18$
- $8 \div \frac{2}{3} = 8 \times \frac{3}{2} = \frac{24}{2} = 12$
Final Answers:
8
5
8
10
12
16
16
21
18
12
Parent Tip: Review the logic above to help your child master the concept of division of fraction worksheet.