Dividing Fractions Worksheet | Printable Maths Worksheets - Free Printable

Let’s solve each fraction division problem step by step.

Remember: To divide fractions, you flip the second fraction (that’s called finding its reciprocal) and then multiply.

So:
> $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

Then multiply straight across: numerator × numerator, denominator × denominator.
Finally, simplify if needed.

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Let’s go one by one:

1) $\frac{2}{22} \div \frac{1}{2} = \frac{2}{22} \times \frac{2}{1} = \frac{4}{22} = \frac{2}{11}$

2) $\frac{8}{19} \div \frac{7}{8} = \frac{8}{19} \times \frac{8}{7} = \frac{64}{133}$ → already simplified

3) $\frac{22}{23} \div \frac{3}{6} = \frac{22}{23} \times \frac{6}{3} = \frac{22}{23} \times 2 = \frac{44}{23}$ → or $1\frac{21}{23}$ but we’ll leave as improper unless asked

Wait — actually, $\frac{6}{3} = 2$, so yes, $\frac{22}{23} \times 2 = \frac{44}{23}$

But let’s check: maybe they want it simplified? 44 and 23 have no common factors → okay.

Actually, let me redo #3 carefully:

$\frac{22}{23} \div \frac{3}{6} = \frac{22}{23} \times \frac{6}{3} = \frac{22 \times 6}{23 \times 3} = \frac{132}{69}$

Now simplify: divide numerator and denominator by 3 → $\frac{44}{23}$ → same as before. Good.

4) $\frac{5}{17} \div \frac{2}{3} = \frac{5}{17} \times \frac{3}{2} = \frac{15}{34}$

5) $\frac{5}{7} \div \frac{5}{6} = \frac{5}{7} \times \frac{6}{5} = \frac{30}{35} = \frac{6}{7}$ (cancel 5s first: $\frac{1}{7} \times \frac{6}{1} = \frac{6}{7}$)

6) $\frac{41}{75} \div \frac{1}{2} = \frac{41}{75} \times \frac{2}{1} = \frac{82}{75}$ → can be written as $1\frac{7}{75}$, but again, improper is fine unless specified.

7) $\frac{3}{4} \div \frac{5}{8} = \frac{3}{4} \times \frac{8}{5} = \frac{24}{20} = \frac{6}{5}$ (divide by 4)

8) $\frac{2}{17} \div \frac{3}{4} = \frac{2}{17} \times \frac{4}{3} = \frac{8}{51}$

9) $\frac{5}{13} \div \frac{5}{9} = \frac{5}{13} \times \frac{9}{5} = \frac{45}{65} = \frac{9}{13}$ (cancel 5s)

10) $\frac{26}{50} \div \frac{4}{5} = \frac{26}{50} \times \frac{5}{4} = \frac{130}{200} = \frac{13}{20}$ (divide by 10)

Or better: cancel early — 26/50 = 13/25, then × 5/4 → (13×5)/(25×4) = 65/100 = 13/20 → same.

11) $\frac{5}{11} \div \frac{6}{10} = \frac{5}{11} \times \frac{10}{6} = \frac{50}{66} = \frac{25}{33}$ (divide by 2)

12) $\frac{3}{7} \div \frac{1}{3} = \frac{3}{7} \times \frac{3}{1} = \frac{9}{7}$

13) $\frac{6}{25} \div \frac{1}{4} = \frac{6}{25} \times \frac{4}{1} = \frac{24}{25}$

14) $\frac{2}{3} \div \frac{2}{7} = \frac{2}{3} \times \frac{7}{2} = \frac{14}{6} = \frac{7}{3}$ (cancel 2s first: $\frac{1}{3} \times \frac{7}{1} = \frac{7}{3}$)

15) $\frac{11}{19} \div \frac{1}{6} = \frac{11}{19} \times \frac{6}{1} = \frac{66}{19}$

16) $\frac{27}{75} \div \frac{4}{5} = \frac{27}{75} \times \frac{5}{4} = \frac{135}{300}$

Simplify: divide numerator and denominator by 15 → 135÷15=9, 300÷15=20 → $\frac{9}{20}$

Or earlier: 27/75 = 9/25, then × 5/4 → (9×5)/(25×4) = 45/100 = 9/20 → same.

17) $\frac{3}{4} \div \frac{2}{4} = \frac{3}{4} \times \frac{4}{2} = \frac{12}{8} = \frac{3}{2}$ (or cancel 4s: 3/1 × 1/2 = 3/2)

18) $\frac{3}{12} \div \frac{2}{10} = \frac{3}{12} \times \frac{10}{2} = \frac{30}{24} = \frac{5}{4}$ (simplify 3/12 to 1/4 first: 1/4 × 10/2 = 10/8 = 5/4)

19) $\frac{28}{60} \div \frac{2}{11} = \frac{28}{60} \times \frac{11}{2} = \frac{308}{120}$

Simplify: divide by 4 → 77/30 → or reduce earlier: 28/60 = 7/15, then × 11/2 = 77/30 → yes.

20) $\frac{4}{6} \div \frac{5}{12} = \frac{4}{6} \times \frac{12}{5} = \frac{48}{30} = \frac{8}{5}$ (simplify 4/6 to 2/3 first: 2/3 × 12/5 = 24/15 = 8/5)

21) $\frac{39}{70} \div \frac{1}{11} = \frac{39}{70} \times \frac{11}{1} = \frac{429}{70}$

Check if simplifies: 429 ÷ 70? 70×6=420, remainder 9 → so $6\frac{9}{70}$, but improper is fine.

22) $\frac{16}{18} \div \frac{2}{5} = \frac{16}{18} \times \frac{5}{2} = \frac{80}{36} = \frac{20}{9}$ (simplify 16/18 to 8/9 first: 8/9 × 5/2 = 40/18 = 20/9)

23) $\frac{1}{2} \div \frac{3}{7} = \frac{1}{2} \times \frac{7}{3} = \frac{7}{6}$

24) $\frac{2}{3} \div \frac{1}{2} = \frac{2}{3} \times \frac{2}{1} = \frac{4}{3}$

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Now let’s list all answers clearly:

1) $\frac{2}{11}$
2) $\frac{64}{133}$
3) $\frac{44}{23}$
4) $\frac{15}{34}$
5) $\frac{6}{7}$
6) $\frac{82}{75}$
7) $\frac{6}{5}$
8) $\frac{8}{51}$
9) $\frac{9}{13}$
10) $\frac{13}{20}$
11) $\frac{25}{33}$
12) $\frac{9}{7}$
13) $\frac{24}{25}$
14) $\frac{7}{3}$
15) $\frac{66}{19}$
16) $\frac{9}{20}$
17) $\frac{3}{2}$
18) $\frac{5}{4}$
19) $\frac{77}{30}$
20) $\frac{8}{5}$
21) $\frac{429}{70}$
22) $\frac{20}{9}$
23) $\frac{7}{6}$
24) $\frac{4}{3}$

I double-checked several for errors — especially where I could simplify early. All look correct.

Final Answer:
1) 2/11
2) 64/133
3) 44/23
4) 15/34
5) 6/7
6) 82/75
7) 6/5
8) 8/51
9) 9/13
10) 13/20
11) 25/33
12) 9/7
13) 24/25
14) 7/3
15) 66/19
16) 9/20
17) 3/2
18) 5/4
19) 77/30
20) 8/5
21) 429/70
22) 20/9
23) 7/6
24) 4/3