Let's solve the worksheet step by step.
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Part 1: Comparing Fractions
Use
=, <, or > to compare each pair of fractions.
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1. $ \frac{5}{8} \quad \square \quad \frac{3}{8} $
- Same denominator (8), so compare numerators.
- 5 > 3 → $ \frac{5}{8} > \frac{3}{8} $
✔ Answer: $ \frac{5}{8} > \frac{3}{8} $
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2. $ \frac{3}{5} \quad \square \quad \frac{1}{5} $
- Same denominator (5), compare numerators.
- 3 > 1 → $ \frac{3}{5} > \frac{1}{5} $
✔ Answer: $ \frac{3}{5} > \frac{1}{5} $
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3. $ \frac{4}{9} \quad \square \quad \frac{7}{9} $
- Same denominator (9), compare numerators.
- 4 < 7 → $ \frac{4}{9} < \frac{7}{9} $
✔ Answer: $ \frac{4}{9} < \frac{7}{9} $
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4. $ \frac{1}{3} \quad \square \quad \frac{2}{6} $
- Simplify $ \frac{2}{6} = \frac{1}{3} $
- So $ \frac{1}{3} = \frac{2}{6} $
✔ Answer: $ \frac{1}{3} = \frac{2}{6} $
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5. $ \frac{2}{4} \quad \square \quad \frac{3}{6} $
- Simplify both:
- $ \frac{2}{4} = \frac{1}{2} $
- $ \frac{3}{6} = \frac{1}{2} $
- So they are equal.
✔ Answer: $ \frac{2}{4} = \frac{3}{6} $
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6. $ \frac{7}{9} \quad \square \quad \frac{2}{9} $
- Same denominator (9), compare numerators.
- 7 > 2 → $ \frac{7}{9} > \frac{2}{9} $
✔ Answer: $ \frac{7}{9} > \frac{2}{9} $
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Part 2: Adding Fractions
Add the following.
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1. $ \frac{2}{4} + \frac{1}{4} $
- Same denominator: add numerators.
- $ \frac{2+1}{4} = \frac{3}{4} $
✔ Answer: $ \frac{3}{4} $
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2. $ \frac{4}{7} + \frac{2}{7} $
- Same denominator: $ \frac{4+2}{7} = \frac{6}{7} $
✔ Answer: $ \frac{6}{7} $
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3. $ \frac{2}{9} + \frac{6}{9} $
- Same denominator: $ \frac{2+6}{9} = \frac{8}{9} $
✔ Answer: $ \frac{8}{9} $
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4. $ \frac{3}{5} + \frac{1}{5} $
- Same denominator: $ \frac{3+1}{5} = \frac{4}{5} $
✔ Answer: $ \frac{4}{5} $
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5. $ \frac{1}{6} + \frac{4}{6} $
- Same denominator: $ \frac{1+4}{6} = \frac{5}{6} $
✔ Answer: $ \frac{5}{6} $
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6. $ \frac{4}{9} + \frac{3}{9} $
- Same denominator: $ \frac{4+3}{9} = \frac{7}{9} $
✔ Answer: $ \frac{7}{9} $
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✔ Final Answers:
####
Comparing:
1. $ \frac{5}{8} > \frac{3}{8} $
2. $ \frac{3}{5} > \frac{1}{5} $
3. $ \frac{4}{9} < \frac{7}{9} $
4. $ \frac{1}{3} = \frac{2}{6} $
5. $ \frac{2}{4} = \frac{3}{6} $
6. $ \frac{7}{9} > \frac{2}{9} $
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Adding:
1. $ \frac{3}{4} $
2. $ \frac{6}{7} $
3. $ \frac{8}{9} $
4. $ \frac{4}{5} $
5. $ \frac{5}{6} $
6. $ \frac{7}{9} $
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Parent Tip: Review the logic above to help your child master the concept of 4th grade math fraction worksheet.