Let’s solve each problem step by step. We’ll multiply the fractions (or whole numbers) and then simplify if needed.
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Problem 1: $\frac{2}{8} \times 4$
Think of 4 as $\frac{4}{1}$
So:
$\frac{2}{8} \times \frac{4}{1} = \frac{2 \times 4}{8 \times 1} = \frac{8}{8} = 1$
✔ Simplified answer:
1
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Problem 2: $\frac{3}{5} \times 5$
Write 5 as $\frac{5}{1}$
$\frac{3}{5} \times \frac{5}{1} = \frac{3 \times 5}{5 \times 1} = \frac{15}{5} = 3$
✔ Simplified answer:
3
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Problem 3: $\frac{5}{3} \times \frac{5}{3}$
Multiply numerators: $5 \times 5 = 25$
Multiply denominators: $3 \times 3 = 9$
Answer: $\frac{25}{9}$
Can we simplify? 25 and 9 have no common factors besides 1 → already simplified.
But it’s an improper fraction — we can leave it like this unless asked to convert to mixed number. The problem says “simplify your answer” — which usually means reduce, not necessarily convert. So $\frac{25}{9}$ is fine.
✔ Answer:
$\frac{25}{9}$
*(Note: If you want to write as mixed number: $2\frac{7}{9}$, but since instructions don’t specify, we’ll keep as improper fraction.)*
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Problem 4: $\frac{21}{5} \times \frac{1}{2}$
Multiply straight across:
Numerator: $21 \times 1 = 21$
Denominator: $5 \times 2 = 10$
Answer: $\frac{21}{10}$
Check for simplification: 21 and 10 share no common factors → already simplified.
✔ Answer:
$\frac{21}{10}$
*(Mixed number would be $2\frac{1}{10}$, again — not required unless specified.)*
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Problem 5: $\frac{5}{3} \times \frac{21}{5}$
Look before multiplying! Notice that 5 in numerator and denominator can cancel.
Also, 21 and 3: 21 ÷ 3 = 7
So let’s cross-cancel:
- Cancel 5 top and bottom → becomes 1 and 1
- Cancel 3 and 21 → 3 becomes 1, 21 becomes 7
Now we have: $\frac{1}{1} \times \frac{7}{1} = 7$
✔ Answer:
7
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Problem 6: $\frac{20}{1} \times \frac{13}{5}$
We can simplify before multiplying.
20 and 5: 20 ÷ 5 = 4, so 5 becomes 1, 20 becomes 4
So now: $\frac{4}{1} \times \frac{13}{1} = 4 \times 13 = 52$
✔ Answer:
52
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Final Answers:
1. 1
2. 3
3. $\frac{25}{9}$
4. $\frac{21}{10}$
5. 7
6. 52
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Final Answer:
1, 3, $\frac{25}{9}$, $\frac{21}{10}$, 7, 52
Parent Tip: Review the logic above to help your child master the concept of fractions worksheet grade 5.