Let’s solve each fraction comparison step by step using cross multiplication.
We compare two fractions:
a/b vs c/d → Multiply
a × d and
c × b, then compare the products.
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1. 3/4 ○ 5/6
Cross multiply:
3 × 6 = 18
5 × 4 = 20
18 < 20 → So,
3/4 < 5/6
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2. 2/8 ○ 3/8
Same denominator! Just compare numerators:
2 < 3 → So,
2/8 < 3/8
*(You can also cross multiply: 2×8=16, 3×8=24 → 16<24)*
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3. 5/8 ○ 3/8
Same denominator again:
5 > 3 → So,
5/8 > 3/8
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4. 2/6 ○ 2/4
Cross multiply:
2 × 4 = 8
2 × 6 = 12
8 < 12 → So,
2/6 < 2/4
*(Also, same numerator — bigger denominator means smaller fraction!)*
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5. 3/8 ○ 4/6
Cross multiply:
3 × 6 = 18
4 × 8 = 32
18 < 32 → So,
3/8 < 4/6
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6. 3/4 ○ 3/2
Cross multiply:
3 × 2 = 6
3 × 4 = 12
6 < 12 → So,
3/4 < 3/2
*(Or think: 3/2 is more than 1, 3/4 is less than 1 → so 3/4 is smaller)*
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7. 4/6 ○ 2/3
Cross multiply:
4 × 3 = 12
2 × 6 = 12
12 = 12 → So,
4/6 = 2/3
*(They are equivalent fractions!)*
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8. 1/5 ○ 6/10
Cross multiply:
1 × 10 = 10
6 × 5 = 30
10 < 30 → So,
1/5 < 6/10
*(Also, 6/10 = 3/5, which is bigger than 1/5)*
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9. 4/3 ○ 3/5
Cross multiply:
4 × 5 = 20
3 × 3 = 9
20 > 9 → So,
4/3 > 3/5
*(4/3 is more than 1, 3/5 is less than 1 → easy win for 4/3)*
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10. 2/6 ○ 1/2
Cross multiply:
2 × 2 = 4
1 × 6 = 6
4 < 6 → So,
2/6 < 1/2
*(2/6 simplifies to 1/3, which is less than 1/2)*
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11. 3/4 ○ 5/6
Wait — this is the same as #1!
3 × 6 = 18
5 × 4 = 20
18 < 20 → So,
3/4 < 5/6
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12. 1/4 ○ 3/2
Cross multiply:
1 × 2 = 2
3 × 4 = 12
2 < 12 → So,
1/4 < 3/2
*(Again, 3/2 is over 1, 1/4 is tiny — no contest!)*
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Final Answer:
1. <
2. <
3. >
4. <
5. <
6. <
7. =
8. <
9. >
10. <
11. <
12. <
Parent Tip: Review the logic above to help your child master the concept of comparing fractions with unlike denominators worksheet.
