What Percentage of The Shape is Shaded Questions. (Fractions to Percentages)

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To work out the percentage of a shape that is shaded follow these 2 simple steps:

Step 1: First work out the fraction of the shape that is shaded in the diagram. The numerator is the amount of squares that are shaded and the denominator is the total amount of squares.

Step 2: Make an equivalent fraction to the fraction from step 1, with 100 on the denominator of your equivalent fraction.

Example 1

Work out the percentage of the shape that is shaded in the diagram shown below.

Step 1:

There are 2 squares shaded and 5 squares in total. So the fraction of the shape that is shaded is 2/5

Step 2:

2/5 = ?/100

Now, 100 divided by 5 is 20, so you also need to multiply the numerator of the fraction by 20.

2/5 = 40/100

Therefore 2/5 is equal to 40%.

Example 2

Work out the percentage of the shape that is shaded in the diagram shown below.

Step 1:

There are 14 squares shaded and 25 squares in total. So the fraction of the shape that is shaded is 14/25

Step 2:

14/25 = ?/100

Now, 100 divided by 25 is 4, so you also need to multiply the numerator of the fraction by 4.

14/25 = 56/100

Therefore 14/25 is equal to 56%.

Example 3

Work out the percentage of the shape that is shaded in the diagram shown below.

Step 1:

There are 13 squares shaded and 20 squares in total. So the fraction of the shape that is shaded is 13/20

Step 2:

13/20 = ?/100

Now, 100 divided by 20 is 5, so you also need to multiply the numerator of the fraction by 5.

13/20 = 65/100

Therefore 13/20 is equal to 65%.

Extra Questions on fractions to percentages:

Converting a fraction to a percentage part 1

Converting a fraction to a percentage part 2

Survey question on converting a fraction to a percentage

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