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How do you represent the fractions e) 1/20, f) 1/25, g) 1/50, and h) 1/100 as shaded squares on a 10x10 grid?
Mathematics
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Step-by-step solution
8 stepsOkay, let's focus on the "down part" of the fractions from the previous question. These are fractions e, f, g, and h. The goal is to determine how many squares to shade on a grid (100 squares total) for each fraction.
- e)
Convert the fraction to an equivalent fraction with a denominator of 100.
$$ \frac{1}{20} = \frac{1 \times 5}{20 \times 5} = \frac{5}{100} $$The numerator indicates the number of squares to shade.
Shade **5** squares.- f)
Convert the fraction to an equivalent fraction with a denominator of 100.
$$ \frac{1}{25} = \frac{1 \times 4}{25 \times 4} = \frac{4}{100} $$The numerator indicates the number of squares to shade.
Shade **4** squares.- g)
Convert the fraction to an equivalent fraction with a denominator of 100.
$$ \frac{1}{50} = \frac{1 \times 2}{50 \times 2} = \frac{2}{100} $$The numerator indicates the number of squares to shade.
Shade **2** squares.- h)
The fraction already has a denominator of 100.
$$ \frac{1}{100} $$The numerator indicates the number of squares to shade.
Shade **1** square.
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