Let’s solve each row one by one. We’ll compare the fractions and put them in the correct order as shown by the < or > signs.
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Row 1: Ascending order (smallest to largest)
Fractions: 1/5, 3/5, 4/5, 2/5
All have the same denominator (5), so we just compare numerators:
1 < 2 < 3 < 4 → So:
1/5 < 2/5 < 3/5 < 4/5
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Row 2: Descending order (largest to smallest)
Fractions: 9/9, 3/9, 6/9, 8/9
Same denominator (9), compare numerators:
9 > 8 > 6 > 3 → So:
9/9 > 8/9 > 6/9 > 3/9
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Row 3: Ascending order
Fractions: 1/5, 1/4, 1/2, 1/7
All have numerator 1 — when numerators are the same, the fraction with the LARGER denominator is SMALLER.
So:
1/7 < 1/5 < 1/4 < 1/2
(Check: 1/7 ≈ 0.14, 1/5 = 0.2, 1/4 = 0.25, 1/2 = 0.5)
→
1/7 < 1/5 < 1/4 < 1/2
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Row 4: Descending order
Fractions: 2/4, 2/5, 2/2, 2/9
All have numerator 2 — again, larger denominator means smaller fraction.
So from largest to smallest:
2/2 > 2/4 > 2/5 > 2/9
(Check: 2/2 = 1, 2/4 = 0.5, 2/5 = 0.4, 2/9 ≈ 0.22)
→
2/2 > 2/4 > 2/5 > 2/9
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Row 5: Ascending order
Fractions: 6/3, 6/9, 6/6, 6/8
Numerator is always 6 — so larger denominator = smaller fraction.
Order from smallest to largest:
6/9 < 6/8 < 6/6 < 6/3
(Check: 6/9 ≈ 0.67, 6/8 = 0.75, 6/6 = 1, 6/3 = 2)
→
6/9 < 6/8 < 6/6 < 6/3
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Final Answer:
Row 1: 1/5 < 2/5 < 3/5 < 4/5
Row 2: 9/9 > 8/9 > 6/9 > 3/9
Row 3: 1/7 < 1/5 < 1/4 < 1/2
Row 4: 2/2 > 2/4 > 2/5 > 2/9
Row 5: 6/9 < 6/8 < 6/6 < 6/3
Parent Tip: Review the logic above to help your child master the concept of 3rd grade fractions worksheets.
