Math worksheet for practicing cross multiplication to solve for 'x' in fractions.

You're given 8 proportion problems to solve for x using the cross multiplication method.

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✔ What is Cross Multiplication?

When you have a proportion:
> a/b = c/d

You can solve it by cross multiplying:
> a × d = b × c

Then solve for the unknown variable (here, x).

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Let’s solve each one step-by-step:

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①  2/3 = x/2

Cross multiply:
→ 2 × 2 = 3 × x
→ 4 = 3x
→ x = 4/3

✔ Answer: x = 4/3

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②  8/x = 4/3

Cross multiply:
→ 8 × 3 = x × 4
→ 24 = 4x
→ x = 24 ÷ 4 = 6

✔ Answer: x = 6

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③  4/x = 6/2

First, simplify 6/2 = 3 → so equation becomes 4/x = 3, but let’s do cross multiplication as instructed.

Cross multiply:
→ 4 × 2 = x × 6
→ 8 = 6x
→ x = 8/6 = 4/3

✔ Answer: x = 4/3

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④  x/10 = 9/6

Simplify 9/6 = 3/2 → but again, cross multiply directly.

Cross multiply:
→ x × 6 = 10 × 9
→ 6x = 90
→ x = 90 ÷ 6 = 15

✔ Answer: x = 15

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⑤  2/10 = 10/x

Cross multiply:
→ 2 × x = 10 × 10
→ 2x = 100
→ x = 50

✔ Answer: x = 50

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⑥  8/4 = x/2

Simplify 8/4 = 2 → so 2 = x/2 → x = 4. But cross multiply:

Cross multiply:
→ 8 × 2 = 4 × x
→ 16 = 4x
→ x = 4

✔ Answer: x = 4

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⑦  3/2 = x/6

Cross multiply:
→ 3 × 6 = 2 × x
→ 18 = 2x
→ x = 9

✔ Answer: x = 9

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⑧  5/x = 10/2

Simplify 10/2 = 5 → so 5/x = 5 → x = 1. But cross multiply:

Cross multiply:
→ 5 × 2 = x × 10
→ 10 = 10x
→ x = 1

✔ Answer: x = 1

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## 📝 Final Answers:

① x = 4/3
② x = 6
③ x = 4/3
④ x = 15
⑤ x = 50
⑥ x = 4
⑦ x = 9
⑧ x = 1

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Let me know if you’d like to see the steps written out with diagrams or want to check your work! 😊