- Converting Between Fractions, Decimals, and Percents
- Home
- Converting a Fraction with a Denominator of 100 to a Percentage
- Converting a Percentage to a Fraction with a Denominator of 100
- Finding the Percentage of a Grid that is Shaded
- Representing Benchmark Percentages on a Grid
- Introduction to Converting a Percentage to a Decimal
- Introduction to Converting a Decimal to a Percentage
- Converting Between Percentages and Decimals
- Converting Between Percentages and Decimals in a Real-World Situation
- Converting a Percentage to a Fraction in Simplest Form
- Converting a Fraction to a Percentage: Denominator of 4, 5, or 10
- Finding Benchmark Fractions and Percentages for a Figure
- Converting a Fraction to a Percentage: Denominator of 20, 25, or 50
- Converting a Fraction to a Percentage in a Real-World Situation

# Finding Benchmark Fractions and Percentages for a Figure

Sr.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% |

What percent of the grid is shaded? Choose the closest benchmark percent and fraction.

### Solution

**Step 1:**

We are given a 10 × 10 grid with 100 squares. The number of shaded squares gives the percentage of shaded squares as it is out 100 squares.

**Step 2:**

The number of shaded squares is 11. So, the percentage of shaded squares is 11%. This is estimated to nearest benchmark percentage 10%. The equivalent benchmark fraction is therefore $\frac{1}{10}$

What percent of the grid is shaded? Choose the closest benchmark percent.

### Solution

**Step 1:**

We are given a 10 × 10 grid with 100 squares. The number of shaded squares gives the percentage of shaded squares as it is out 100 squares.

**Step 2:**

The number of shaded squares is 98. So, the percentage of shaded squares is 98%. This is estimated to nearest benchmark percentage 100%. The equivalent benchmark fraction is therefore 1.

What percent of the grid is shaded? Choose the closest benchmark percent.

### Solution

**Step 1:**

We are given a 10 × 10 grid with 100 squares. The number of shaded squares gives the percentage of shaded squares as it is out 100 squares.

**Step 2:**

The number of shaded squares is 52. So, the percentage of shaded squares is 52%. This is estimated to nearest benchmark percentage 50%. The equivalent benchmark fraction is therefore $\frac{1}{2}$