How much of the whole does the shaded area (blue) represent?
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How much of the whole does the shaded area (blue) represent?
To solve this problem, let's follow these steps:
Now, let's work through each step:
Step 1: Upon examining the diagram, we see the whole is a 4x5 grid, hence
There are rectangles in total.
The blue shaded area occupies the entire left-most column of this 4-column grid, so 4 rectangles are shaded.
Step 2: Calculate the fraction of the total area that is shaded:
The fraction of the shaded area is .
Simplifying this gives .
Step 3: Convert the fraction into a decimal:
Dividing 1 by 5 yields .
The correct representation of the shaded area is indeed a part of the larger rectangle, showing that simplified to and thus represents in decimal form.
Therefore, matching this with the given options, the shaded area represents or of the entire area.
or
Write the following fraction as a decimal:
\( \frac{5}{100}= \)
Look for the blue-colored rectangles! In this problem, the entire leftmost column is shaded blue, which means 4 out of 10 total rectangles are shaded.
Both and 0.4 represent the same value! Fractions show the part-to-whole relationship clearly, while decimals are useful for calculations and comparisons.
While is correct, simplifying to shows you understand equivalent fractions. Both forms are acceptable answers!
The same method works: count total parts, count shaded parts, write the fraction. Whether it's a 3×4 grid or 5×6 grid, always use .
Try counting in different ways: count by rows, then by columns, or number each rectangle 1, 2, 3... This helps catch counting mistakes and builds confidence!
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