Let’s solve each row step by step. We’ll compare the fractions and put them in 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 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
Note: 9/9 = 1, which is the biggest.
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Row 3: Ascending order
Fractions: 1/5, 1/4, 1/2, 1/7
These all have numerator 1 — when numerators are same, bigger denominator means smaller fraction.
So let’s think:
1/7 is smallest (because 7 is biggest)
Then 1/5
Then 1/4
Then 1/2 (biggest, because 2 is smallest denominator)
Order:
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
Same numerator (2). Bigger denominator → smaller fraction.
So:
2/2 = 1 → biggest
Then 2/4 = 0.5
Then 2/5 = 0.4
Then 2/9 ≈ 0.22 → smallest
Order from big to small:
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
Same numerator (6). Bigger denominator → smaller fraction.
But also note: some of these simplify to whole numbers!
6/3 = 2
6/6 = 1
6/8 = 0.75
6/9 = 0.666...
So let’s list their values:
- 6/9 ≈ 0.666
- 6/8 = 0.75
- 6/6 = 1
- 6/3 = 2
Ascending order:
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 fractions worksheet third grade.
