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Each big square below represents one whole.Express the shaded area as both a mixed number and a decimal.Fraction: Decimal:

Question

Each big square below represents one whole.

Express the shaded area as both a mixed number and a decimal.

Fraction:
Decimal:

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Solution

To express the shaded area as both a mixed number and a decimal, we need to follow these steps:

1. Break Down the Problem

Identify the total area of the big square and the shaded area within it. Count how many parts are shaded in relation to the whole.

2. Relevant Concepts

Use the concept of fractions to express the shaded area:

  • A fraction is represented as shaded areatotal area\frac{\text{shaded area}}{\text{total area}}.

3. Analysis and Detail

Assuming you have determined that:

  • The total area (number of big squares) is nn.
  • The shaded area is kk.

Then the fraction representing the shaded area is given by: Fraction=kn \text{Fraction} = \frac{k}{n}

Next, to express the fraction as a mixed number and a decimal:

  1. Mixed Number: If kn\frac{k}{n} is improper (where k>nk > n), divide kk by nn to find the whole number and the remainder.
  2. Decimal: Perform the division k÷nk \div n to find the decimal equivalent.

4. Verify and Summarize

Check the calculations to ensure that both representations accurately reflect the shaded area in relation to the whole square.

Final Answer

  • Fraction: kn\frac{k}{n} (write the actual values)
  • Mixed Number: (state the converted mixed number)
  • Decimal: (state the decimal result)

Since the exact values for kk and nn are not provided, please insert the specific numbers to complete the calculations.

This problem has been solved

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