Math Problem Statement

Which two of the shapes below are 2/5 shaded?

Solution

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The question asks which two of the shapes are shaded to represent 25\frac{2}{5} of the total area. To solve this, we need to examine the shaded portions in each shape and compare them to the total number of sections in each shape.

  1. Shape A: This shape is divided into 4 sections. Two of them are shaded, so 24\frac{2}{4}, or 50%, of the shape is shaded.
  2. Shape B: This shape is divided into 8 sections, and 3 of them are shaded, so 38\frac{3}{8}, or 37.5%, of the shape is shaded.
  3. Shape C: This shape is divided into 5 sections, and 2 of them are shaded, so 25\frac{2}{5}, or 40%, of the shape is shaded.
  4. Shape D: This shape is divided into 4 sections, and 2 of them are shaded, so 24\frac{2}{4}, or 50%, of the shape is shaded.
  5. Shape E: This shape is divided into 3 sections, and 1 of them is shaded, so 13\frac{1}{3}, or about 33.33%, of the shape is shaded.
  6. Shape F: This shape is divided into 4 sections, and 2 of them are shaded, so 24\frac{2}{4}, or 50%, of the shape is shaded.

Based on this, Shape C is the only shape where 25\frac{2}{5} is shaded. However, I’ll need to recheck which other shape could also fit. From the fractions calculated, I see that no other shape directly matches the shading of 25\frac{2}{5}, so C is the likely answer.

Would you like any further clarification on these calculations or the reasoning process?

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Math Problem Analysis

Mathematical Concepts

Fractions
Shaded Area Analysis

Formulas

Fraction representation (shaded area/total area)

Theorems

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Suitable Grade Level

Grades 3-5