Here are the solutions to the multiplication problems on the worksheet.
Row 1:
* $3 \times \frac{3}{10} = \frac{9}{10}$
* $4 \times \frac{1}{6} = \frac{4}{6}$, which simplifies to $\frac{2}{3}$
Row 2:
* $7 \times \frac{10}{11} = \frac{70}{11}$, which is $6 \frac{4}{11}$
* $6 \times \frac{5}{9} = \frac{30}{9}$, which simplifies to $3 \frac{3}{9}$ or $3 \frac{1}{3}$
Row 3:
* $\frac{6}{11} \times 4 = \frac{24}{11}$, which is $2 \frac{2}{11}$
* $\frac{3}{8} \times 9 = \frac{27}{8}$, which is $3 \frac{3}{8}$
Row 4:
* $\frac{4}{5} \times 5 = \frac{20}{5}$, which equals $4$
* $\frac{5}{8} \times 2 = \frac{10}{8}$, which simplifies to $1 \frac{2}{8}$ or $1 \frac{1}{4}$
Row 5:
* $5 \times \frac{7}{12} = \frac{35}{12}$, which is $2 \frac{11}{12}$
* $\frac{5}{9} \times 11 = \frac{55}{9}$, which is $6 \frac{1}{9}$
Row 6:
* $9 \times \frac{2}{8}$. First simplify $\frac{2}{8}$ to $\frac{1}{4}$. Then $9 \times \frac{1}{4} = \frac{9}{4}$, which is $2 \frac{1}{4}$
* $\frac{4}{7} \times 12 = \frac{48}{7}$, which is $6 \frac{6}{7}$
Row 7:
* $\frac{5}{9} \times 10 = \frac{50}{9}$, which is $5 \frac{5}{9}$
* $\frac{7}{12} \times 6 = \frac{42}{12}$. Both divide by 6, so it simplifies to $\frac{7}{2}$, which is $3 \frac{1}{2}$
Final Answer:
Column 1:
1. $\frac{9}{10}$
2. $6 \frac{4}{11}$
3. $2 \frac{2}{11}$
4. $4$
5. $2 \frac{11}{12}$
6. $2 \frac{1}{4}$
7. $5 \frac{5}{9}$
Column 2:
1. $\frac{2}{3}$
2. $3 \frac{1}{3}$
3. $3 \frac{3}{8}$
4. $1 \frac{1}{4}$
5. $6 \frac{1}{9}$
6. $6 \frac{6}{7}$
7. $3 \frac{1}{2}$
Parent Tip: Review the logic above to help your child master the concept of multiplying whole numbers by fractions worksheet.