Cross Multiplication Worksheets - 15 Worksheets Library - Free Printable

Let's solve this Cross Multiplication worksheet step by step. The goal is to compare each pair of fractions using cross multiplication and determine if they are equivalent by writing "Yes" or "No".

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🔷 How Cross Multiplication Works:

For two fractions $\frac{a}{b}$ and $\frac{c}{d}$,
- Multiply a × d (numerator of first × denominator of second)
- Multiply b × c (denominator of first × numerator of second)

If the products are equal → the fractions are equivalent → write "Yes"
If not → write "No"

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We'll go through each problem:

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1) $\frac{2}{4}$ and $\frac{10}{7}$
- $2 × 7 = 14$
- $4 × 10 = 40$
- 14 ≠ 40 → No

2) $\frac{1}{3}$ and $\frac{5}{15}$
- $1 × 15 = 15$
- $3 × 5 = 15$
- 15 = 15 → Yes

3) $\frac{3}{8}$ and $\frac{4}{5}$
- $3 × 5 = 15$
- $8 × 4 = 32$
- 15 ≠ 32 → No

4) $\frac{2}{5}$ and $\frac{12}{30}$
- $2 × 30 = 60$
- $5 × 12 = 60$
- 60 = 60 → Yes

5) $\frac{2}{3}$ and $\frac{3}{7}$
- $2 × 7 = 14$
- $3 × 3 = 9$
- 14 ≠ 9 → No

6) $\frac{15}{36}$ and $\frac{5}{12}$
- $15 × 12 = 180$
- $36 × 5 = 180$
- 180 = 180 → Yes

7) $\frac{8}{12}$ and $\frac{4}{60}$
- $8 × 60 = 480$
- $12 × 4 = 48$
- 480 ≠ 48 → No

8) $\frac{3}{9}$ and $\frac{12}{36}$
- $3 × 36 = 108$
- $9 × 12 = 108$
- 108 = 108 → Yes

9) $\frac{2}{3}$ and $\frac{4}{7}$
- $2 × 7 = 14$
- $3 × 4 = 12$
- 14 ≠ 12 → No

10) $\frac{10}{15}$ and $\frac{20}{30}$
- $10 × 30 = 300$
- $15 × 20 = 300$
- 300 = 300 → Yes

11) $\frac{7}{3}$ and $\frac{10}{7}$
- $7 × 7 = 49$
- $3 × 10 = 30$
- 49 ≠ 30 → No

12) $\frac{45}{75}$ and $\frac{15}{25}$
- $45 × 25 = 1125$
- $75 × 15 = 1125$
- 1125 = 1125 → Yes

13) $\frac{5}{15}$ and $\frac{4}{20}$
- $5 × 20 = 100$
- $15 × 4 = 60$
- 100 ≠ 60 → No

14) $\frac{32}{60}$ and $\frac{8}{15}$
- $32 × 15 = 480$
- $60 × 8 = 480$
- 480 = 480 → Yes

15) $\frac{20}{35}$ and $\frac{5}{7}$
- $20 × 7 = 140$
- $35 × 5 = 175$
- 140 ≠ 175 → No

16) $\frac{4}{5}$ and $\frac{2}{7}$
- $4 × 7 = 28$
- $5 × 2 = 10$
- 28 ≠ 10 → No

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✔ Final Answers:

1) No
2) Yes
3) No
4) Yes
5) No
6) Yes
7) No
8) Yes
9) No
10) Yes
11) No
12) Yes
13) No
14) Yes
15) No
16) No

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Let me know if you'd like this in a printable format or need explanations for any specific ones!