A grid model with 100 squares. 73 squares are shaded.

What percent of the model is shaded?
What is the equivalent ratio?
What is the equivalent decimal?
What is the equivalent fraction?

1 answer

To find the percent of the model that is shaded:

  1. Percent shaded: \[ \text{Percent shaded} = \left( \frac{\text{Number of shaded squares}}{\text{Total number of squares}} \right) \times 100 = \left( \frac{73}{100} \right) \times 100 = 73% \]

  2. Equivalent ratio: The equivalent ratio of shaded to unshaded squares is: \[ 73 \text{ (shaded)} : 27 \text{ (unshaded)} \quad \text{(since 100 - 73 = 27)} \]

  3. Equivalent decimal: To convert the fraction to a decimal: \[ \text{Decimal} = \frac{73}{100} = 0.73 \]

  4. Equivalent fraction: The fraction of shaded squares out of the total is: \[ \text{Fraction shaded} = \frac{73}{100} \] This fraction is already in its simplest form.

In summary:

  • Percent shaded: 73%
  • Equivalent ratio: 73:27
  • Equivalent decimal: 0.73
  • Equivalent fraction: \(\frac{73}{100}\)
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