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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Presentation

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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.