Grade 3 Maths Worksheets: (7.8 Multiplying and Dividing Fractions ... - Free Printable

Let’s solve each problem step by step. Remember: to divide fractions, you multiply by the reciprocal (flip the second fraction).

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Problem 1:
$\frac{2}{3} \div \frac{1}{4}$
→ Flip $\frac{1}{4}$ → becomes $\frac{4}{1}$
→ Multiply: $\frac{2}{3} \times \frac{4}{1} = \frac{8}{3}$
✔ Correct answer: b) $\frac{8}{3}$

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Problem 2:
$\frac{4}{5} \div \frac{2}{6}$
→ First, simplify $\frac{2}{6}$ to $\frac{1}{3}$ (optional but easier)
→ Flip $\frac{1}{3}$ → becomes $\frac{3}{1}$
→ Multiply: $\frac{4}{5} \times \frac{3}{1} = \frac{12}{5}$ — wait, that’s not an option? Let me check again.

Wait — maybe don’t simplify first. Let’s do it as given:

$\frac{4}{5} \div \frac{2}{6}$ → flip $\frac{2}{6}$ → $\frac{6}{2}$
→ $\frac{4}{5} \times \frac{6}{2} = \frac{24}{10}$
Yes! That’s option a)

But let’s reduce $\frac{24}{10}$ → $\frac{12}{5}$ — still not matching other options. But since $\frac{24}{10}$ is listed as option a), and we got that directly, that’s correct.

Actually, let’s verify all options:

a) $\frac{24}{10}$ → yes, matches our calculation
b) $\frac{8}{30}$ → too small
c) $\frac{5}{6}$ → no

So ✔ a) $\frac{24}{10}$

*(Note: It can be simplified, but since it’s offered as-is, we pick it.)*

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Problem 3:
$\frac{3}{3} \div \frac{2}{3}$
→ $\frac{3}{3} = 1$, so $1 \div \frac{2}{3} = 1 \times \frac{3}{2} = \frac{3}{2}$ — not in options? Wait.

Wait — let’s do it without simplifying first:

$\frac{3}{3} \div \frac{2}{3}$ → flip $\frac{2}{3}$ → $\frac{3}{2}$
→ $\frac{3}{3} \times \frac{3}{2} = \frac{9}{6}$
Yes! Option b) $\frac{9}{6}$

Check others:
a) $\frac{6}{9}$ → no
c) $\frac{2}{3}$ → no

✔ b) $\frac{9}{6}$

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Problem 4:
$\frac{1}{5} \div \frac{1}{3}$
→ Flip $\frac{1}{3}$ → $\frac{3}{1}$
→ $\frac{1}{5} \times \frac{3}{1} = \frac{3}{5}$
✔ c) $\frac{3}{5}$

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Problem 5:
$\frac{2}{8} \div \frac{1}{2}$
→ Flip $\frac{1}{2}$ → $\frac{2}{1}$
→ $\frac{2}{8} \times \frac{2}{1} = \frac{4}{8}$
✔ a) $\frac{4}{8}$

(Note: This reduces to $\frac{1}{2}$, but $\frac{4}{8}$ is the direct result and is listed.)

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Problem 6:
$\frac{1}{7} \div \frac{2}{5}$
→ Flip $\frac{2}{5}$ → $\frac{5}{2}$
→ $\frac{1}{7} \times \frac{5}{2} = \frac{5}{14}$
✔ a) $\frac{5}{14}$

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Final Answers:

1. b
2. a
3. b
4. c
5. a
6. a

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Final Answer:
1. b
2. a
3. b
4. c
5. a
6. a