Finding Benchmark Fractions and Percentages for a Figure

Introduction

Sr.No	Fraction	Benchmark Percentage
1	110110	10%
2	1515	20%
3	1414	25%
4	1212	50%
5	3434	75%
6	1	100%

Example 1

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 110110Example 2

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.Example 3

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 12