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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)
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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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