Explain how to convert percentages to decimals and fractions with a denominator of 100 | Maths

Starter quiz

Find one-half of these numbers.

One-half of 100

⇔

50 ✓

One-half of 50

⇔

25 ✓

One-half of 30

⇔

15 ✓

One-half of 98

⇔

49 ✓
Find one-quarter of these numbers.

One-quarter of 24

⇔

6 ✓

One-quarter of 60

⇔

15 ✓

One-quarter of 88

⇔

22 ✓

One-quarter of 100

⇔

25 ✓
A whole has been divided into 10 equal parts. Each part is one-______ of the whole.

'tenth' ✓
Percent means the number of parts in each 100 Match the number of parts to the correct percentage.

27%

⇔

27 parts out of 100 ✓

55%

⇔

55 parts out of 100 ✓

39%

⇔

39 parts out of 100 ✓

82%

⇔

82 parts out of 100 ✓
Match the fraction to the decimal number.

one-tenth

⇔

0.1 ✓

${4} \over {10}$

⇔

0.4 ✓

eight-tenths

⇔

0.8 ✓

${7} \over {10}$

⇔

0.7 ✓
Match the decimal number to the letter on this number line.

A

⇔

0.2 ✓

B

⇔

0.9 ✓

C

⇔

0.4 ✓

D

⇔

0.6 ✓

Exit quiz

Match the fraction to the correct percentage.

${30} \over {100}$

⇔

30% ✓

${80} \over {100}$

⇔

80% ✓

${10} \over {100}$

⇔

10% ✓

${45} \over {100}$

⇔

45% ✓

${95} \over {100}$

⇔

95% ✓
Look at the number of squares that are shaded in this representation. Which statement is true?

${50} \over {100}$ is shaded

5% is shaded ✓

${5} \over {100}$ is shaded ✓

50% is shaded
$What is the missing numerator in this fraction that is equal to 71%?$

What is the missing numerator in this fraction that is equal to 71%?

'71' ✓
Match the decimal number to the equivalent fraction or percentage.

${7} \over {100}$

⇔

0.07 ✓

71%

⇔

0.71 ✓

${68} \over {100}$

⇔

0.68 ✓

33%

⇔

0.33 ✓
Match the percentage to the correct decimal number.

50%

⇔

0.5 ✓

70%

⇔

0.7 ✓

20%

⇔

0.2 ✓

90%

⇔

0.9 ✓

30%

⇔

0.3 ✓
What does the representation show?

42% ✓

0.24

${42} \over {10}$

0.42 ✓

${42} \over {100}$ ✓

Worksheet

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Lesson Details

Key learning points

Percentages can be written as fractions with a denominator of 100
Percentages can be written as decimal numbers.
Percentages that are multiples of 10 are usually written to one decimal place (e.g. 90% is equal to 0.9)

Common misconception

Pupils may make mistakes when writing single-digit percentages as a decimal number (e.g. 3%).

Remind pupils that percentages are recorded as hundredths. Where is the hundredths column in a decimal number? Writing measurements where one unit is a hundredth of another (e.g. number of pence as a percentage of a pound) may help reinforce this.

Keywords

Percent - Percent means the number of parts in each hundred.
Percentage - A percentage is a proportion of a whole.