Grid Fraction Problem: Calculate the Blue Shaded Square's Ratio

Question

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

Step-by-Step Solution

The large square grid is divided into smaller squares. Let's determine how many small squares there are in total.

  • Step 1: Count the number of small squares along one side. From the SVG image, each side seems to have 10 smaller squares (since each section appears uniform and there are grids within both, rows, and columns).

  • Step 2: Calculate the total number of smaller squares in the grid. Since it's a square, the total is 10×10=100 10 \times 10 = 100 small squares.

  • Step 3: Calculate what fraction of the whole one shaded square (the blue one) represents. The shaded area is one of these squares, so it represents 1100 \frac{1}{100} of the entire grid.

Therefore, the shaded area represents 0.01 0.01 or 1100 \frac{1}{100} of the whole grid.

Answer

0.01 0.01 or 1100 \frac{1}{100}