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Year 6

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

I can convert percentages to decimals and fractions with a denominator of 100

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New
New
Year 6

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

I can convert percentages to decimals and fractions with a denominator of 100

Download all resources
Share activities with pupils

Link copied to clipboard

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Lesson details

Key learning points

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

Keywords

  • Percent - Percent means the number of parts in each hundred.

  • Percentage - A percentage is a proportion of a whole.

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.


To help you plan your year 6 maths lesson on: Explain how to convert percentages to decimals and fractions with a denominator of 100, download all teaching resources for free and adapt to suit your pupils' needs...

To support access to this lesson, pupils need to already be familiar with writing fractions with a denominator of 100 and numbers with up to two decimal places. They should be able to convert between one-hundredths written as a fraction and as a decimal number.
Teacher tip

Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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Starter quiz

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6 Questions

Q1.
Find one-half of these numbers.
Correct Answer:One-half of 100,50

50

Correct Answer:One-half of 50,25

25

Correct Answer:One-half of 30,15

15

Correct Answer:One-half of 98,49

49

Q2.
Find one-quarter of these numbers.
Correct Answer:One-quarter of 24,6

6

Correct Answer:One-quarter of 60,15

15

Correct Answer:One-quarter of 88,22

22

Correct Answer:One-quarter of 100,25

25

Q3.
A whole has been divided into 10 equal parts. Each part is one- of the whole.
Correct Answer: tenth
Q4.
Percent means the number of parts in each 100 Match the number of parts to the correct percentage.
Correct Answer:27%,27 parts out of 100

27 parts out of 100

Correct Answer:55%,55 parts out of 100

55 parts out of 100

Correct Answer:39%,39 parts out of 100

39 parts out of 100

Correct Answer:82%,82 parts out of 100

82 parts out of 100

Q5.
Match the fraction to the decimal number.
Correct Answer:one-tenth ,0.1

0.1

Correct Answer:$$ {4} \over {10} $$,0.4

0.4

Correct Answer:eight-tenths,0.8

0.8

Correct Answer:$$ {7} \over {10} $$,0.7

0.7

Q6.
Match the decimal number to the letter on this number line.
An image in a quiz
Correct Answer:A,0.2

0.2

Correct Answer:B,0.9

0.9

Correct Answer:C,0.4

0.4

Correct Answer:D,0.6

0.6

Exit quiz

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6 Questions

Q1.
Match the fraction to the correct percentage.
Correct Answer:$$ {30} \over {100} $$,30%

30%

Correct Answer:$$ {80} \over {100} $$,80%

80%

Correct Answer:$$ {10} \over {100} $$,10%

10%

Correct Answer:$$ {45} \over {100} $$,45%

45%

Correct Answer:$$ {95} \over {100} $$,95%

95%

Q2.
Look at the number of squares that are shaded in this representation. Which statement is true?
An image in a quiz
$$ {50} \over {100} $$ is shaded
Correct answer: 5% is shaded
Correct answer: $$ {5} \over {100} $$ is shaded
50% is shaded
Q3.
What is the missing numerator in this fraction that is equal to 71%?
An image in a quiz
Correct Answer: 71
Q4.
Match the decimal number to the equivalent fraction or percentage.
Correct Answer:$$ {7} \over {100} $$,0.07

0.07

Correct Answer:71% ,0.71

0.71

Correct Answer:$$ {68} \over {100} $$,0.68

0.68

Correct Answer:33%,0.33

0.33

Q5.
Match the percentage to the correct decimal number.
Correct Answer:50%,0.5

0.5

Correct Answer:70%,0.7

0.7

Correct Answer:20%,0.2

0.2

Correct Answer:90%,0.9

0.9

Correct Answer:30%,0.3

0.3

Q6.
What does the representation show?
An image in a quiz
Correct answer: 42%
0.24
$$ {42} \over {10} $$
Correct answer: 0.42
Correct answer: $$ {42} \over {100} $$