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Fraction Comparison Worksheet with visual pie charts and math problems.

Comparing Proper Fractions to Twelfths (A)

Educational worksheet: Comparing Proper Fractions to Twelfths (A). Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Comparing Proper Fractions to Twelfths (A)
Let’s solve each fraction comparison step by step.

We are comparing two fractions in each box. We need to decide if the first fraction is greater than (>), less than (<), or equal to (=) the second fraction.

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First problem (already done as example):
2/3 vs 1/4
→ 2/3 is about 0.67, and 1/4 is 0.25 → so 2/3 > 1/4

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Second problem:
1/3 vs 1/4
Think: If you split a pizza into 3 pieces, each piece is bigger than if you split it into 4 pieces.
So 1/3 is bigger than 1/4.
Answer: >

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Third problem:
2/4 vs 2/3
Both have numerator 2. When numerators are the same, the fraction with the smaller denominator is bigger.
Why? Because 2 out of 3 parts is more than 2 out of 4 parts.
Example: 2 slices from a 3-slice pizza vs 2 slices from a 4-slice pizza — the 3-slice ones are bigger!
So 2/4 < 2/3
Answer: <

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Fourth problem:
2/4 vs 3/6
Simplify both:
2/4 = 1/2
3/6 = 1/2
They are equal!
Answer: =

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Fifth problem:
4/5 vs 3/4
Let’s think visually or use common denominators.
Common denominator of 5 and 4 is 20.
4/5 = 16/20
3/4 = 15/20
16/20 > 15/20 → so 4/5 > 3/4
Answer: >

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Sixth problem:
4/6 vs 6/8
Simplify both:
4/6 = 2/3 ≈ 0.666...
6/8 = 3/4 = 0.75
0.666... < 0.75 → so 4/6 < 6/8
Alternatively, cross multiply:
4 × 8 = 32
6 × 6 = 36
Since 32 < 36 → 4/6 < 6/8
Answer: <

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Final Answer:
1/3 > 1/4
2/4 < 2/3
2/4 = 3/6
4/5 > 3/4
4/6 < 6/8
Parent Tip: Review the logic above to help your child master the concept of comparing fractions worksheets.
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