Fraction math worksheet for practicing multiplication and division of fractions.

Let’s solve each problem step by step. Remember:

- To multiply fractions: Multiply the numerators (top numbers) together, and multiply the denominators (bottom numbers) together. Then simplify if needed.
- To divide fractions: Flip the second fraction (that’s called taking the reciprocal), then multiply.

We’ll go row by row, left to right.

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Row 1:

1. $\frac{1}{2} \times \frac{5}{4}$
→ Numerator: $1 \times 5 = 5$
→ Denominator: $2 \times 4 = 8$
→ Answer: $\frac{5}{8}$

2. $\frac{1}{4} \times \frac{5}{3}$
→ Numerator: $1 \times 5 = 5$
→ Denominator: $4 \times 3 = 12$
→ Answer: $\frac{5}{12}$

3. $\frac{10}{3} \times \frac{11}{6}$
→ Numerator: $10 \times 11 = 110$
→ Denominator: $3 \times 6 = 18$
→ Simplify: Divide numerator and denominator by 2 → $\frac{55}{9}$
→ Or as mixed number: $6\frac{1}{9}$ — but since instructions don’t specify, we’ll leave as improper fraction unless it simplifies nicely. Let’s check GCD of 110 and 18 is 2 → so $\frac{55}{9}$ is simplest form.

Wait — actually, let me double-check:
110 ÷ 2 = 55, 18 2 = 9 → yes, $\frac{55}{9}$

But maybe they want simplified proper or mixed? The worksheet doesn’t specify, so we’ll keep as simplified improper fraction unless it reduces to whole number.

Actually, let’s hold off on converting to mixed numbers unless necessary. We’ll just reduce fully.

So: $\frac{110}{18} = \frac{55}{9}$

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Row 2:

4. $\frac{1}{6} \div \frac{8}{11}$
→ Flip second fraction: $\frac{11}{8}$
→ Now multiply: $\frac{1}{6} \times \frac{11}{8} = \frac{11}{48}$
→ Already simplified.

5. $\frac{11}{2} \div \frac{1}{2}$
→ Flip second: $\frac{2}{1}$
→ Multiply: $\frac{11}{2} \times \frac{2}{1} = \frac{22}{2} = 11$

6. $\frac{1}{2} \div \frac{1}{2}$
→ Flip second: $\frac{2}{1}$
→ Multiply: $\frac{1}{2} \times \frac{2}{1} = \frac{2}{2} = 1$

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Row 3:

7. $\frac{1}{3} \div \frac{13}{9}$
→ Flip second: $\frac{9}{13}$
→ Multiply: $\frac{1}{3} \times \frac{9}{13} = \frac{9}{39}$
→ Simplify: divide numerator and denominator by 3 → $\frac{3}{13}$

8. $\frac{4}{3} \div \frac{11}{12}$
→ Flip second: $\frac{12}{11}$
→ Multiply: $\frac{4}{3} \times \frac{12}{11} = \frac{48}{33}$
→ Simplify: divide by 3 → $\frac{16}{11}$

9. $\frac{14}{9} \times \frac{7}{10}$
→ Numerator: $14 \times 7 = 98$
→ Denominator: $9 \times 10 = 90$
→ Simplify: GCD of 98 and 90 is 2 → $\frac{49}{45}$

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Row 4:

10. $\frac{13}{4} \div \frac{1}{2}$
→ Flip second: $\frac{2}{1}$
→ Multiply: $\frac{13}{4} \times \frac{2}{1} = \frac{26}{4}$
→ Simplify: divide by 2 → $\frac{13}{2}$

11. $\frac{1}{3} \times \frac{20}{9}$
→ Numerator: $1 \times 20 = 20$
→ Denominator: $3 \times 9 = 27$
→ Answer: $\frac{20}{27}$ (already simplified)

12. $\frac{15}{8} \times \frac{7}{6}$
→ Numerator: $15 \times 7 = 105$
→ Denominator: $8 \times 6 = 48$
→ Simplify: GCD of 105 and 48 is 3 → $\frac{35}{16}$

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Row 5:

13. $\frac{17}{6} \div \frac{3}{5}$
→ Flip second: $\frac{5}{3}$
→ Multiply: $\frac{17}{6} \times \frac{5}{3} = \frac{85}{18}$
→ Already simplified (GCD of 85 and 18 is 1)

14. $\frac{13}{7} \times \frac{14}{11}$
→ Notice: 14 and 7 can cancel!
→ $\frac{13}{7} \times \frac{14}{11} = \frac{13 \times 14}{7 \times 11} = \frac{13 \times 2}{1 \times 11} = \frac{26}{11}$
(Since 14 ÷ 7 = 2)

15. $\frac{3}{2} \times \frac{4}{9}$
→ Numerator: $3 \times 4 = 12$
→ Denominator: $2 \times 9 = 18$
→ Simplify: divide by 6 → $\frac{2}{3}$
(Or step-by-step: 12÷6=2, 18÷6=3 → yes)

Alternatively, cross-cancel before multiplying:
3 and 9 → divide both by 3 → becomes 1 and 3
2 and 4 → divide both by 2 → becomes 1 and 2
So: $\frac{1}{1} \times \frac{2}{3} = \frac{2}{3}$ — same answer.

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Now let’s list all answers in order (left to right, top to bottom):

1. $\frac{5}{8}$
2. $\frac{5}{12}$
3. $\frac{55}{9}$
4. $\frac{11}{48}$
5. $11$
6. $1$
7. $\frac{3}{13}$
8. $\frac{16}{11}$
9. $\frac{49}{45}$
10. $\frac{13}{2}$
11. $\frac{20}{27}$
12. $\frac{35}{16}$
13. $\frac{85}{18}$
14. $\frac{26}{11}$
15. $\frac{2}{3}$

Double-checking a few that might be tricky:

#3: $\frac{10}{3} \times \frac{11}{6} = \frac{110}{18} = \frac{55}{9}$ ✔
#8: $\frac{4}{3} \times \frac{12}{11} = \frac{48}{33} = \frac{16}{11}$ ✔
#9: $\frac{14}{9} \times \frac{7}{10} = \frac{98}{90} = \frac{49}{45}$ ✔
#12: $\frac{15}{8} \times \frac{7}{6} = \frac{105}{48} = \frac{35}{16}$ ✔
#14: $\frac{13}{7} \times \frac{14}{11} = \frac{13 \cdot 2}{11} = \frac{26}{11}$ ✔
#15: $\frac{3}{2} \times \frac{4}{9} = \frac{12}{18} = \frac{2}{3}$ ✔

All good.

Final Answer:
$\frac{5}{8}, \frac{5}{12}, \frac{55}{9}, \frac{11}{48}, 11, 1, \frac{3}{13}, \frac{16}{11}, \frac{49}{45}, \frac{13}{2}, \frac{20}{27}, \frac{35}{16}, \frac{85}{18}, \frac{26}{11}, \frac{2}{3}$