To solve the problem of comparing shaded fractions in the given shapes, we need to determine the fraction of each shape that is shaded and then compare these fractions using the symbols "<", "=", or ">".
Step-by-Step Solution:
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1. First Row:
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Shape 1: A square divided into 4 equal parts, with 2 parts shaded.
- Fraction: \( \frac{2}{4} \)
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Shape 2: A circle divided into 2 equal parts, with 1 part shaded.
- Fraction: \( \frac{1}{2} \)
Comparison:
- \( \frac{2}{4} = \frac{1}{2} \) (since \( \frac{2}{4} \) simplifies to \( \frac{1}{2} \))
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Answer: \( = \)
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2. Second Row:
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Shape 1: A triangle divided into 3 equal parts, with 2 parts shaded.
- Fraction: \( \frac{2}{3} \)
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Shape 2: A circle divided into 4 equal parts, with 1 part shaded.
- Fraction: \( \frac{1}{4} \)
Comparison:
- \( \frac{2}{3} > \frac{1}{4} \) (since \( \frac{2}{3} \approx 0.67 \) and \( \frac{1}{4} = 0.25 \))
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Answer: \( > \)
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3. Third Row:
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Shape 1: A rectangle divided into 8 equal parts, with 4 parts shaded.
- Fraction: \( \frac{4}{8} \)
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Shape 2: A circle divided into 4 equal parts, with 2 parts shaded.
- Fraction: \( \frac{2}{4} \)
Comparison:
- \( \frac{4}{8} = \frac{2}{4} \) (since both simplify to \( \frac{1}{2} \))
-
Answer: \( = \)
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4. Fourth Row:
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Shape 1: A square divided into 9 equal parts, with 3 parts shaded.
- Fraction: \( \frac{3}{9} \)
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Shape 2: A triangle divided into 3 equal parts, with 1 part shaded.
- Fraction: \( \frac{1}{3} \)
Comparison:
- \( \frac{3}{9} = \frac{1}{3} \) (since \( \frac{3}{9} \) simplifies to \( \frac{1}{3} \))
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Answer: \( = \)
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5. Fifth Row:
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Shape 1: A circle divided into 6 equal parts, with 3 parts shaded.
- Fraction: \( \frac{3}{6} \)
-
Shape 2: A square divided into 4 equal parts, with 2 parts shaded.
- Fraction: \( \frac{2}{4} \)
Comparison:
- \( \frac{3}{6} = \frac{2}{4} \) (since both simplify to \( \frac{1}{2} \))
-
Answer: \( = \)
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6. Sixth Row:
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Shape 1: A rectangle divided into 10 equal parts, with 5 parts shaded.
- Fraction: \( \frac{5}{10} \)
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Shape 2: A circle divided into 4 equal parts, with 2 parts shaded.
- Fraction: \( \frac{2}{4} \)
Comparison:
- \( \frac{5}{10} = \frac{2}{4} \) (since both simplify to \( \frac{1}{2} \))
-
Answer: \( = \)
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Final Answers:
1. \( = \)
2. \( > \)
3. \( = \)
4. \( = \)
5. \( = \)
6. \( = \)
Boxed Answer:
\[
\boxed{=, >, =, =, =, =}
\]
Parent Tip: Review the logic above to help your child master the concept of fractions math worksheet for 2nd graders.
