Let’s solve each problem step by step. We’re comparing and ordering fractions — that means we need to put them in order from smallest to largest (using <) or largest to smallest (using >), depending on what the worksheet asks.
We’ll go row by row, left to right.
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Row 1:
First box:
Fractions: 3/4, 1/4, 2/4
Already solved as example: 3/4 > 2/4 > 1/4 → Correct! All have same denominator, so bigger numerator = bigger fraction.
Second box:
Fractions: 7/8, 6/8, 9/8
All have same denominator (8). So compare numerators: 9 > 7 > 6
So:
9/8 > 7/8 > 6/8
Third box:
Fractions: 2/15, 8/15, 10/15
Same denominator (15). Numerators: 10 > 8 > 2
So:
10/15 > 8/15 > 2/15
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Row 2:
Fourth box:
Fractions: 6/9, 6/4, 6/7
All have same numerator (6). When numerators are same, smaller denominator = bigger fraction.
Why? Because if you split 6 cookies among fewer people, each person gets more.
Denominators: 4 < 7 < 9 → So fractions: 6/4 > 6/7 > 6/9
But the symbol is “<” — so we want smallest to largest:
6/9 < 6/7 < 6/4
Fifth box:
Fractions: 3/5, 5/6, 2/9
Different denominators. Need to compare carefully.
Let’s find a common denominator or convert to decimals.
Option: Convert to decimals (easier for comparison):
- 3/5 = 0.6
- 5/6 ≈ 0.833...
- 2/9 ≈ 0.222...
So order from smallest to largest: 2/9 < 3/5 < 5/6
Answer:
2/9 < 3/5 < 5/6
Sixth box:
Fractions: 4/9, 4/3, 4/5
Same numerator (4). Smaller denominator = bigger fraction.
Denominators: 3 < 5 < 9 → So fractions: 4/3 > 4/5 > 4/9
But symbol is “<”, so smallest to largest:
4/9 < 4/5 < 4/3
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Row 3:
Seventh box:
Fractions: 14/7, 14/3, 14/9
Same numerator (14). Smaller denominator = bigger fraction.
Denominators: 3 < 7 < 9 → So fractions: 14/3 > 14/7 > 14/9
Symbol is “<”, so smallest to largest:
14/9 < 14/7 < 14/3
Eighth box:
Fractions: 8/9, 1/3, 6½
Note: 6½ is a mixed number = 6 + 1/2 = 13/2 = 6.5
Convert all to decimals:
- 8/9 ≈ 0.888...
- 1/3 ≈ 0.333...
- 6½ = 6.5
Order from largest to smallest (symbol is “>”):
6.5 > 0.888... > 0.333... → So:
6½ > 8/9 > 1/3
Ninth box:
Fractions: 1⅕, 2¼, 3/7
Convert to decimals:
- 1⅕ = 1 + 1/5 = 1.2
- 2¼ = 2 + 1/4 = 2.25
- 3/7 ≈ 0.428...
Symbol is “<”, so smallest to largest:
0.428... < 1.2 < 2.25 →
3/7 < 1⅕ < 2¼
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Final Answer:
Row 1:
- 9/8 > 7/8 > 6/8
- 10/15 > 8/15 > 2/15
Row 2:
- 6/9 < 6/7 < 6/4
- 2/9 < 3/5 < 5/6
- 4/9 < 4/5 < 4/3
Row 3:
- 14/9 < 14/7 < 14/3
- 6½ > 8/9 > 1/3
- 3/7 < 1⅕ < 2¼
Parent Tip: Review the logic above to help your child master the concept of comparing fraction printables.
