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

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

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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 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 (2024), 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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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

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: $$ {42} \over {100} $$