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Worksheet teaching multiplication of fractions by whole numbers using visual strategies.

A math worksheet for multiplying proper fractions and mixed numbers by whole numbers, featuring methods from Alex, Jemma, and Malachi using visual models like fraction bars, arrays, and number lines.

A math worksheet for multiplying proper fractions and mixed numbers by whole numbers, featuring methods from Alex, Jemma, and Malachi using visual models like fraction bars, arrays, and number lines.

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Show Answer Key & Explanations Step-by-step solution for: Multiply proper fractions and mixed numbers by whole numbers ...
Here are the solutions to the calculations on the worksheet, broken down by method.

Alex’s Method


*Rule: Multiply the whole number by the top number (numerator). Keep the bottom number (denominator) the same.*

1. $3 \times \frac{5}{6}$
* Calculation: $3 \times 5 = 15$. Keep the denominator as 6.
* Answer: $\frac{15}{6}$

2. $2 \times \frac{3}{8}$
* Calculation: $2 \times 3 = 6$. Keep the denominator as 8.
* Answer: $\frac{6}{8}$

3. $3 \times \frac{4}{9}$
* Calculation: $3 \times 4 = 12$. Keep the denominator as 9.
* Answer: $\frac{12}{9}$

4. $4 \times \frac{3}{7}$
* Calculation: $4 \times 3 = 12$. Keep the denominator as 7.
* Answer: $\frac{12}{7}$

5. $3 \times \frac{2}{11}$
* Calculation: $3 \times 2 = 6$. Keep the denominator as 11.
* Answer: $\frac{6}{11}$

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Jemma’s Method


*Rule: Same as Alex's method. Multiply the whole number by the numerator.*

1. $3 \times \frac{2}{12}$
* Calculation: $3 \times 2 = 6$. Keep the denominator as 12.
* Answer: $\frac{6}{12}$

2. $2 \times \frac{4}{7}$
* Calculation: $2 \times 4 = 8$. Keep the denominator as 7.
* Answer: $\frac{8}{7}$

3. $3 \times \frac{5}{9}$
* Calculation: $3 \times 5 = 15$. Keep the denominator as 9.
* Answer: $\frac{15}{9}$

4. $4 \times \frac{2}{6}$
* Calculation: $4 \times 2 = 8$. Keep the denominator as 6.
* Answer: $\frac{8}{6}$

5. $2 \times \frac{6}{11}$
* Calculation: $2 \times 6 = 12$. Keep the denominator as 11.
* Answer: $\frac{12}{11}$

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Malachi’s Method


*Rule: Use the number line or multiply the numerator by the whole number.*

1. $3 \times \frac{2}{10}$
* Calculation: $3 \times 2 = 6$. Keep the denominator as 10.
* Answer: $\frac{6}{10}$

2. $2 \times \frac{3}{6}$
* Calculation: $2 \times 3 = 6$. Keep the denominator as 6.
* Answer: $\frac{6}{6}$

3. $3 \times \frac{2}{6}$
* Calculation: $3 \times 2 = 6$. Keep the denominator as 6.
* Answer: $\frac{6}{6}$

4. $4 \times \frac{2}{5}$
* Calculation: $4 \times 2 = 8$. Keep the denominator as 5.
* Answer: $\frac{8}{5}$

5. $3 \times \frac{8}{10}$
* Calculation: $3 \times 8 = 24$. Keep the denominator as 10.
* Answer: $\frac{24}{10}$

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Final Answer:
Alex's Section:
$\frac{15}{6}, \frac{6}{8}, \frac{12}{9}, \frac{12}{7}, \frac{6}{11}$

Jemma's Section:
$\frac{6}{12}, \frac{8}{7}, \frac{15}{9}, \frac{8}{6}, \frac{12}{11}$

Malachi's Section:
$\frac{6}{10}, \frac{6}{6}, \frac{6}{6}, \frac{8}{5}, \frac{24}{10}$
Parent Tip: Review the logic above to help your child master the concept of multiply whole numbers and fractions worksheet.
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