Find the Fraction: What Part Does the Blue Shaded Area Represent in the Grid

How much of the whole does the shaded area (blue) represent?

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1

Understand the problem

How much of the whole does the shaded area (blue) represent?

2

Step-by-step solution

To solve this problem, we need to determine the fraction of the whole grid that is represented by the shaded (blue) area. The grid is a 10x10 layout, therefore containing a total of 10×10=10010 \times 10 = 100 equal-sized squares.

Step 1: We count the number of shaded squares in the grid. According to the illustration, there are 86 shaded squares.

Step 2: Calculate the fraction of the shaded area compared to the whole grid: Number of shaded squaresTotal number of squares=86100\frac{\text{Number of shaded squares}}{\text{Total number of squares}} = \frac{86}{100}.

Step 3: Convert this fraction into a decimal. Dividing the numerator by the denominator gives us 0.86 0.86 .

Therefore, the shaded area represents 86100\frac{86}{100} of the total grid, which is equivalent to 0.860.86.

This matches with the correct answer choice, which is: 0.860.86 or 86100\frac{86}{100}.

3

Final Answer

0.86 0.86 or 86100 \frac{86}{100}

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Write the following fraction as a decimal:

\( \frac{2}{100}= \)

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