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

      Lesson details

      Learning outcome

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

      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.

      Teacher tip

      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.

      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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      Prior knowledge starter quiz

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

      To help you plan your 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...