Here are the solutions to the multiplication problems. To solve these, multiply the whole number by the numerator (top number) of the fraction, and keep the denominator (bottom number) the same. Then, simplify the answer if possible.
1. $3 \times \frac{7}{10}$
* Multiply: $3 \times 7 = 21$
* Keep denominator: $10$
* Result: $\frac{21}{10}$ or $2 \frac{1}{10}$
2. $4 \times \frac{1}{6}$
* Multiply: $4 \times 1 = 4$
* Keep denominator: $6$
* Result: $\frac{4}{6}$
* Simplify (divide top and bottom by 2): $\frac{2}{3}$
3. $7 \times \frac{10}{11}$
* Multiply: $7 \times 10 = 70$
* Keep denominator: $11$
* Result: $\frac{70}{11}$ or $6 \frac{4}{11}$
4. $6 \times \frac{5}{9}$
* Multiply: $6 \times 5 = 30$
* Keep denominator: $9$
* Result: $\frac{30}{9}$
* Simplify (divide top and bottom by 3): $\frac{10}{3}$ or $3 \frac{1}{3}$
5. $\frac{6}{11} \times 4$
* Multiply: $6 \times 4 = 24$
* Keep denominator: $11$
* Result: $\frac{24}{11}$ or $2 \frac{2}{11}$
6. $\frac{3}{8} \times 9$
* Multiply: $3 \times 9 = 27$
* Keep denominator: $8$
* Result: $\frac{27}{8}$ or $3 \frac{3}{8}$
7. $\frac{4}{5} \times 5$
* Multiply: $4 \times 5 = 20$
* Keep denominator: $5$
* Result: $\frac{20}{5}$
* Simplify: $4$
8. $\frac{5}{8} \times 2$
* Multiply: $5 \times 2 = 10$
* Keep denominator: $8$
* Result: $\frac{10}{8}$
* Simplify (divide top and bottom by 2): $\frac{5}{4}$ or $1 \frac{1}{4}$
9. $5 \times \frac{7}{12}$
* Multiply: $5 \times 7 = 35$
* Keep denominator: $12$
* Result: $\frac{35}{12}$ or $2 \frac{11}{12}$
10. $\frac{5}{9} \times 11$
* Multiply: $5 \times 11 = 55$
* Keep denominator: $9$
* Result: $\frac{55}{9}$ or $6 \frac{1}{9}$
11. $9 \times \frac{2}{8}$
* Multiply: $9 \times 2 = 18$
* Keep denominator: $8$
* Result: $\frac{18}{8}$
* Simplify (divide top and bottom by 2): $\frac{9}{4}$ or $2 \frac{1}{4}$
*(Note: You could also simplify $\frac{2}{8}$ to $\frac{1}{4}$ first, then do $9 \times \frac{1}{4} = \frac{9}{4}$)*
12. $\frac{4}{7} \times 12$
* Multiply: $4 \times 12 = 48$
* Keep denominator: $7$
* Result: $\frac{48}{7}$ or $6 \frac{6}{7}$
13. $\frac{5}{9} \times 10$
* Multiply: $5 \times 10 = 50$
* Keep denominator: $9$
* Result: $\frac{50}{9}$ or $5 \frac{5}{9}$
14. $\frac{7}{12} \times 6$
* Multiply: $7 \times 6 = 42$
* Keep denominator: $12$
* Result: $\frac{42}{12}$
* Simplify (divide top and bottom by 6): $\frac{7}{2}$ or $3 \frac{1}{2}$
Final Answer:
1. $\frac{21}{10}$ or $2 \frac{1}{10}$
2. $\frac{2}{3}$
3. $\frac{70}{11}$ or $6 \frac{4}{11}$
4. $3 \frac{1}{3}$
5. $\frac{24}{11}$ or $2 \frac{2}{11}$
6. $\frac{27}{8}$ or $3 \frac{3}{8}$
7. $4$
8. $1 \frac{1}{4}$
9. $\frac{35}{12}$ or $2 \frac{11}{12}$
10. $\frac{55}{9}$ or $6 \frac{1}{9}$
11. $2 \frac{1}{4}$
12. $\frac{48}{7}$ or $6 \frac{6}{7}$
13. $\frac{50}{9}$ or $5 \frac{5}{9}$
14. $3 \frac{1}{2}$
Parent Tip: Review the logic above to help your child master the concept of multiply fractions by whole numbers worksheet.
