Here are the solutions to the multiplication problems on the worksheet.
1) $3 \times \frac{6}{11}$
To solve this, multiply the whole number (3) by the numerator (6). Keep the denominator (11) the same.
$3 \times 6 = 18$
The answer is $\frac{18}{11}$. This can also be written as the mixed number $1 \frac{7}{11}$.
2) $8 \times \frac{5}{7}$
Multiply the whole number (8) by the numerator (5). Keep the denominator (7) the same.
$8 \times 5 = 40$
The answer is $\frac{40}{7}$. This can also be written as the mixed number $5 \frac{5}{7}$.
3) $3 \times \frac{5}{6}$
Multiply the whole number (3) by the numerator (5). Keep the denominator (6) the same.
$3 \times 5 = 15$
The fraction is $\frac{15}{6}$. Both numbers can be divided by 3 to simplify it.
$\frac{15 \div 3}{6 \div 3} = \frac{5}{2}$
This can be written as the mixed number $2 \frac{1}{2}$.
4) $9 \times \frac{3}{14}$
Multiply the whole number (9) by the numerator (3). Keep the denominator (14) the same.
$9 \times 3 = 27$
The answer is $\frac{27}{14}$. This can also be written as the mixed number $1 \frac{13}{14}$.
5) $2 \times \frac{5}{7}$
Multiply the whole number (2) by the numerator (5). Keep the denominator (7) the same.
$2 \times 5 = 10$
The answer is $\frac{10}{7}$. This can also be written as the mixed number $1 \frac{3}{7}$.
Final Answer:
1) $\frac{18}{11}$ or $1 \frac{7}{11}$
2) $\frac{40}{7}$ or $5 \frac{5}{7}$
3) $\frac{5}{2}$ or $2 \frac{1}{2}$
4) $\frac{27}{14}$ or $1 \frac{13}{14}$
5) $\frac{10}{7}$ or $1 \frac{3}{7}$
Parent Tip: Review the logic above to help your child master the concept of fraction on number line worksheet.
