Practice multiplying three fractions by cross canceling with this printable math worksheet.

Let's solve each of these cross multiplication problems by simplifying the fractions using cross cancelling before multiplying. The goal is to reduce fractions before multiplying to make calculations easier.

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🔷 Rules for Cross Cancellation:

- Cancel common factors between a numerator and a denominator across different fractions.
- Only cancel if the number divides evenly into both.
- Multiply numerators together and denominators together after simplification.

We’ll go through each problem step-by-step.

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1)

$$
\frac{12}{24} \times \frac{30}{36} \times \frac{24}{48}
$$

Step 1: Simplify each fraction first:
- $ \frac{12}{24} = \frac{1}{2} $
- $ \frac{30}{36} = \frac{5}{6} $
- $ \frac{24}{48} = \frac{1}{2} $

Now multiply:
$$
\frac{1}{2} \times \frac{5}{6} \times \frac{1}{2} = \frac{1 \times 5 \times 1}{2 \times 6 \times 2} = \frac{5}{24}
$$

✔ Answer: $ \frac{5}{24} $

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2)

$$
\frac{4}{10} \times \frac{8}{24} \times \frac{12}{20}
$$

Simplify:
- $ \frac{4}{10} = \frac{2}{5} $
- $ \frac{8}{24} = \frac{1}{3} $
- $ \frac{12}{20} = \frac{3}{5} $

Multiply:
$$
\frac{2}{5} \times \frac{1}{3} \times \frac{3}{5} = \frac{2 \times 1 \times 3}{5 \times 3 \times 5} = \frac{6}{75} = \frac{2}{25}
$$

✔ Answer: $ \frac{2}{25} $

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3)

$$
\frac{2}{10} \times \frac{35}{45} \times \frac{15}{25}
$$

Simplify:
- $ \frac{2}{10} = \frac{1}{5} $
- $ \frac{35}{45} = \frac{7}{9} $
- $ \frac{15}{25} = \frac{3}{5} $

Multiply:
$$
\frac{1}{5} \times \frac{7}{9} \times \frac{3}{5} = \frac{1 \times 7 \times 3}{5 \times 9 \times 5} = \frac{21}{225} = \frac{7}{75}
$$

✔ Answer: $ \frac{7}{75} $

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4)

$$
\frac{5}{10} \times \frac{10}{25} \times \frac{15}{30}
$$

Simplify:
- $ \frac{5}{10} = \frac{1}{2} $
- $ \frac{10}{25} = \frac{2}{5} $
- $ \frac{15}{30} = \frac{1}{2} $

Multiply:
$$
\frac{1}{2} \times \frac{2}{5} \times \frac{1}{2} = \frac{1 \times 2 \times 1}{2 \times 5 \times 2} = \frac{2}{20} = \frac{1}{10}
$$

✔ Answer: $ \frac{1}{10} $

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5)

$$
\frac{25}{55} \times \frac{15}{25} \times \frac{5}{10}
$$

Simplify:
- $ \frac{25}{55} = \frac{5}{11} $
- $ \frac{15}{25} = \frac{3}{5} $
- $ \frac{5}{10} = \frac{1}{2} $

Multiply:
$$
\frac{5}{11} \times \frac{3}{5} \times \frac{1}{2} = \frac{5 \times 3 \times 1}{11 \times 5 \times 2} = \frac{15}{110} = \frac{3}{22}
$$

✔ Answer: $ \frac{3}{22} $

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6)

$$
\frac{10}{30} \times \frac{7}{25} \times \frac{15}{35}
$$

Simplify:
- $ \frac{10}{30} = \frac{1}{3} $
- $ \frac{7}{25} $ → stays
- $ \frac{15}{35} = \frac{3}{7} $

Multiply:
$$
\frac{1}{3} \times \frac{7}{25} \times \frac{3}{7} = \frac{1 \times 7 \times 3}{3 \times 25 \times 7} = \frac{21}{525}
$$

Cancel: $ \frac{21}{525} = \frac{1}{25} $

✔ Answer: $ \frac{1}{25} $

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7)

$$
\frac{2}{16} \times \frac{12}{8} \times \frac{6}{4}
$$

Simplify:
- $ \frac{2}{16} = \frac{1}{8} $
- $ \frac{12}{8} = \frac{3}{2} $
- $ \frac{6}{4} = \frac{3}{2} $

Multiply:
$$
\frac{1}{8} \times \frac{3}{2} \times \frac{3}{2} = \frac{1 \times 3 \times 3}{8 \times 2 \times 2} = \frac{9}{32}
$$

✔ Answer: $ \frac{9}{32} $

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8)

$$
\frac{24}{36} \times \frac{3}{12} \times \frac{4}{9}
$$

Simplify:
- $ \frac{24}{36} = \frac{2}{3} $
- $ \frac{3}{12} = \frac{1}{4} $
- $ \frac{4}{9} $ → stays

Multiply:
$$
\frac{2}{3} \times \frac{1}{4} \times \frac{4}{9} = \frac{2 \times 1 \times 4}{3 \times 4 \times 9} = \frac{8}{108} = \frac{2}{27}
$$

✔ Answer: $ \frac{2}{27} $

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9)

$$
\frac{12}{30} \times \frac{9}{25} \times \frac{15}{27}
$$

Simplify:
- $ \frac{12}{30} = \frac{2}{5} $
- $ \frac{9}{25} $ → stays
- $ \frac{15}{27} = \frac{5}{9} $

Multiply:
$$
\frac{2}{5} \times \frac{9}{25} \times \frac{5}{9} = \frac{2 \times 9 \times 5}{5 \times 25 \times 9} = \frac{90}{1125}
$$

Simplify: divide numerator and denominator by 45 → $ \frac{2}{25} $

✔ Answer: $ \frac{2}{25} $

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10)

$$
\frac{15}{40} \times \frac{5}{25} \times \frac{10}{15}
$$

Simplify:
- $ \frac{15}{40} = \frac{3}{8} $
- $ \frac{5}{25} = \frac{1}{5} $
- $ \frac{10}{15} = \frac{2}{3} $

Multiply:
$$
\frac{3}{8} \times \frac{1}{5} \times \frac{2}{3} = \frac{3 \times 1 \times 2}{8 \times 5 \times 3} = \frac{6}{120} = \frac{1}{20}
$$

✔ Answer: $ \frac{1}{20} $

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11)

$$
\frac{25}{10} \times \frac{5}{35} \times \frac{7}{30}
$$

Simplify:
- $ \frac{25}{10} = \frac{5}{2} $
- $ \frac{5}{35} = \frac{1}{7} $
- $ \frac{7}{30} $ → stays

Multiply:
$$
\frac{5}{2} \times \frac{1}{7} \times \frac{7}{30} = \frac{5 \times 1 \times 7}{2 \times 7 \times 30} = \frac{35}{420} = \frac{1}{12}
$$

✔ Answer: $ \frac{1}{12} $

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12)

$$
\frac{12}{25} \times \frac{5}{24} \times \frac{6}{30}
$$

Simplify:
- $ \frac{12}{25} $ → stays
- $ \frac{5}{24} $ → stays
- $ \frac{6}{30} = \frac{1}{5} $

Multiply:
$$
\frac{12}{25} \times \frac{5}{24} \times \frac{1}{5} = \frac{12 \times 5 \times 1}{25 \times 24 \times 5} = \frac{60}{3000} = \frac{1}{50}
$$

✔ Answer: $ \frac{1}{50} $

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✔ Final Answers:

| Problem | Answer |
|--------|---------------|
| 1 | $ \frac{5}{24} $ |
| 2 | $ \frac{2}{25} $ |
| 3 | $ \frac{7}{75} $ |
| 4 | $ \frac{1}{10} $ |
| 5 | $ \frac{3}{22} $ |
| 6 | $ \frac{1}{25} $ |
| 7 | $ \frac{9}{32} $ |
| 8 | $ \frac{2}{27} $ |
| 9 | $ \frac{2}{25} $ |
| 10 | $ \frac{1}{20} $ |
| 11 | $ \frac{1}{12} $ |
| 12 | $ \frac{1}{50} $ |

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📌 Tips for Students:

- Always simplify fractions first.
- Use cross cancellation to reduce numbers before multiplying.
- Cancel diagonally or vertically when possible.
- Double-check your final answer is in lowest terms.

Let me know if you’d like this as a printable PDF or with step-by-step diagrams!