Converting Between Fractions, Decimals, and Percents
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- Converting a Fraction to a Percentage in a Real-World Situation
- Converting a Fraction to a Percentage: Denominator of 20, 25, or 50
- Finding Benchmark Fractions and Percentages for a Figure
- Converting a Fraction to a Percentage: Denominator of 4, 5, or 10
- Converting a Percentage to a Fraction in Simplest Form
- Converting Between Percentages and Decimals in a Real-World Situation
- Converting Between Percentages and Decimals
- Introduction to Converting a Decimal to a Percentage
- Introduction to Converting a Percentage to a Decimal
- Representing Benchmark Percentages on a Grid
- Finding the Percentage of a Grid that is Shaded
- Converting a Percentage to a Fraction with a Denominator of 100
- Converting a Fraction with a Denominator of 100 to a Percentage
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Representing Benchmark Percentages on a Grid
Representing Benchmark Percentages on a Grid
Benchmark percentages are rounded percentages that we often use. 1%, 10%, 25%, $frac{331}{3}\%$ and their multiples are some benchmark percentages
We sometimes use a benchmark percentage that is close to a given percentage to estimate. Here are some common benchmark percentages and their fractional equivalents.
| S.No | Fraction | Benchmark Percentage |
|---|---|---|
| 1 | $frac{1}{10}$ |
10% |
| 2 | $frac{1}{5}$ |
20% |
| 3 | $frac{1}{4}$ |
25% |
| 4 | $frac{1}{2}$ |
50% |
| 5 | $frac{3}{4}$ |
75% |
| 6 | 1 | 100% |
To estimate 47%, you could use 50% as a benchmark percent.
Represent the benchmark percentage of the following percentage on a grid.
24%
Solution
Step 1:
We consider a 10 × 10 grid having 100 squares.
The number of shaded squares gives the percentage of the grid as that is out of a total of 100 squares.
Step 2:
The benchmark percentage of 21% is 20%. To show 20% on the grid, we show 20 shaded squares as shown below.
Represent the benchmark percentage of the following percentage on a grid.
59%
Solution
Step 1:
We consider a 10 × 10 grid having 100 squares.
The number of shaded squares gives the percentage of the grid as that is out of a total of 100 squares.
Step 2:
The benchmark percentage of 59% is 60%. To show 60% on the grid, we show 60 shaded squares as shown below.
Represent the benchmark percentage of the following percentage on a grid.
74%
Solution
Step 1:
We consider a 10 × 10 grid having 100 squares.
The number of shaded squares gives the percentage of the grid as that is out of a total of 100 squares.
Step 2:
The benchmark percentage of 74% is 75%. To show 75% on the grid, we show 75 shaded squares as shown below.
