Multiplying fractions worksheet with six practice problems and a pizza illustration.

Sure! Let’s solve each multiplication problem step by step and simplify the answers as required.

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Problem 1:

$\frac{2}{8} \times 4$

Step 1: Write 4 as a fraction: $4 = \frac{4}{1}$

So,
$\frac{2}{8} \times \frac{4}{1} = \frac{2 \times 4}{8 \times 1} = \frac{8}{8}$

Step 2: Simplify $\frac{8}{8} = 1$

✔ Answer: 1

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Problem 2:

$\frac{3}{5} \times 5$

Step 1: Write 5 as a fraction: $5 = \frac{5}{1}$

So,
$\frac{3}{5} \times \frac{5}{1} = \frac{3 \times 5}{5 \times 1} = \frac{15}{5}$

Step 2: Simplify $\frac{15}{5} = 3$

✔ Answer: 3

*(Note: You can also cancel the 5s before multiplying: $\frac{3}{\cancel{5}} \times \cancel{5} = 3$)*

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Problem 3:

$\frac{5}{3} \times \frac{5}{3}$

Multiply numerators and denominators:

$\frac{5 \times 5}{3 \times 3} = \frac{25}{9}$

This is an improper fraction. We can leave it as is or convert to a mixed number.

$\frac{25}{9} = 2 \frac{7}{9}$ (since 9×2=18, 25−18=7)

✔ Answer: $\frac{25}{9}$ or $2\frac{7}{9}$ — both are correct, but since the instruction says “simplify,” and $\frac{25}{9}$ is already in simplest form, either is acceptable. Often in elementary math, mixed numbers are preferred.

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Problem 4:

$\frac{21}{5} \times \frac{1}{2}$

Multiply numerators and denominators:

$\frac{21 \times 1}{5 \times 2} = \frac{21}{10}$

Simplify? 21 and 10 have no common factors → already simplified.

Convert to mixed number: $\frac{21}{10} = 2\frac{1}{10}$

✔ Answer: $\frac{21}{10}$ or $2\frac{1}{10}$

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Problem 5:

$\frac{5}{3} \times \frac{21}{5}$

Multiply numerators and denominators:

$\frac{5 \times 21}{3 \times 5} = \frac{105}{15}$

Now simplify: divide numerator and denominator by 15 → $\frac{105 ÷ 15}{15 ÷ 15} = \frac{7}{1} = 7$

OR — better yet, cancel before multiplying:

$\frac{\cancel{5}}{3} \times \frac{21}{\cancel{5}} = \frac{21}{3} = 7$

✔ Answer: 7

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Problem 6:

$\frac{20}{1} \times \frac{13}{5}$

Multiply numerators and denominators:

$\frac{20 \times 13}{1 \times 5} = \frac{260}{5}$

Simplify: $260 ÷ 5 = 52$

OR — cancel first:

$\frac{20}{1} \times \frac{13}{5} = \frac{20 ÷ 5}{1} \times \frac{13}{1} = 4 \times 13 = 52$

✔ Answer: 52

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## ✔ Final Answers:

1. $\frac{2}{8} \times 4 = \boxed{1}$
2. $\frac{3}{5} \times 5 = \boxed{3}$
3. $\frac{5}{3} \times \frac{5}{3} = \boxed{\frac{25}{9}}$ or $\boxed{2\frac{7}{9}}$
4. $\frac{21}{5} \times \frac{1}{2} = \boxed{\frac{21}{10}}$ or $\boxed{2\frac{1}{10}}$
5. $\frac{5}{3} \times \frac{21}{5} = \boxed{7}$
6. $\frac{20}{1} \times \frac{13}{5} = \boxed{52}$

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Let me know if you’d like to see visual models (like area models or pizza slices) for any of these! 🍕