Converting between Fractions, Decimals and Percentages

Lesson 3: Converting Fractions to Decimals and Percentages

• To divide numbers using the bus stop method.

• To convert a fraction to a decimal.

• To convert a fraction to a percentage.

To develop an understanding of how to convert fractions to decimals and percentages.

Learning Objective

Success Criteria

Targeting Assessment Objective: A01

Convert each percentage to a decimal and cross off the answer on the grid.There will be 4 decimals at the end which will not have been crossed off. Add these together to find the final answer.

Conversion Grid

0.88 0.10 0.075 0.01

0.94 0.50 0.05 0.001

0.24 0.17 1.25 0.144

0.75 0.904 0.02 0.102

0.525 0.125 0.199 0.15

88%

50%

24%

75%5%

2%94%

12.5%

10.2%

1%

14.4%

10%

17%

15%

52.5%

19.9%

Answer: 0.904 + 0.075 + 0.001 + 1.25

0.075

1.25

0.001

0.904

= 2.23

To convert a fraction to decimal, we divide the numerator by the denominator.

Converting Fractions to Decimals

Convert ¾ to a decimal

1. Divide the numerator by the denominator:

2. Use the bus stop method to calculate the answer:

3 ÷ 4

4 3

0

.

.

037

025

= 0.75

To convert a fraction to decimal, we divide the numerator by the denominator.

Converting Fractions to Decimals

Convert to a decimal25

1. Divide the numerator by the denominator:

2. Use the bus stop method to calculate the answer:

2 ÷ 5

5 2

0

.

.

024

= 0.4

1.

2.

3.

4.

5.

Convert each fraction to a decimal.

Converting Fractions to Decimals

15

18

14

220

58

0.2 or 0.20

0.125

0.25

0.1 or 0.10

0.625

F.D.P. Grid

Multiply by 100

Divide by 100Divide numerator by denominator

To convert a fraction to a percentage, we must first convert the fraction to a decimal:

Converting Fractions to Percentages

Convert to a decimal35

1. Divide the numerator by the denominator:

2. Use the bus stop method to calculate the answer:

3 ÷ 5

5 3

0

.

.

036

= 60%

How do we convert a decimal to a percentage?

Multiply the decimal by 100.

0.6 × 100 = 60

To convert a fraction to a percentage, we must first convert the fraction to a decimal:

Converting Fractions to Percentages

Convert to a decimal28

1. Divide the numerator by the denominator:

2. Use the bus stop method to calculate the answer:

3. Multiply the decimal by 100.

2 ÷ 8

8 2

0

.

.

022

= 25%

0.25 × 100 = 25

045

1.

2.

3.

4.

5.

Convert each fraction to a percentage.

Converting Fractions to Percentages

25

34

820

40%

25%

75%

40%

20%

312

525

F.D.P. Grid

Multiply by 100

Divide by 100Divide numerator by denominatorDivide numerator by denominator then multiply by 100

Your Turn

What Order?Order the following from smallest to largest:

312 0.30 22% 2

5 28%

What Order?Order the following from smallest to largest:

312 0.30 22% 2

5 28%

First, you must convert them to the same unit, for example all percentages:

25% 30% 22% 40% 28%

Now, you are able to order them from smallest to largest:

22% 25% 28% 30% 40%

The last step is to use the original units in your final answer:

312 0.3022% 2

528%