Use knowledge of fraction-decimal-percentage conversions to solve problems in a range of contexts | Maths

Starter quiz

Match the fractions that are equivalent.
- ${30} \over {100}$
  
  ⇔
  
  ${3} \over {10}$ ✓
- ${60} \over {100}$
  
  ⇔
  
  ${6} \over {10}$ ✓
- ${80} \over {100}$
  
  ⇔
  
  ${8} \over {10}$ ✓
- ${40} \over {100}$
  
  ⇔
  
  ${4} \over {10}$ ✓
Match the fraction to the correct percentage.
- ${5} \over {10}$
  
  ⇔
  
  50% ✓
- ${85} \over {100}$
  
  ⇔
  
  85% ✓
- ${2} \over {10}$
  
  ⇔
  
  20% ✓
- ${44} \over {100}$
  
  ⇔
  
  44% ✓
- ${8} \over {10}$
  
  ⇔
  
  80% ✓
What does the representation show?
- ${60} \over {100}$
- 60%
- ${6} \over {10}$
- ${6} \over {100}$ ✓
- 6% ✓
$Look at the image. What fractions does it show?$

Look at the image. What fractions does it show?
- ${5} \over {10}$ ✓
- ${1} \over {2}$ ✓
- ${5} \over {100}$
- ${25} \over {10}$
- ${50} \over {100}$ ✓
$What is the missing denominator in this fraction?$

What is the missing denominator in this fraction?
- '20' ✓
$60% of the one-hundred square is shaded. Tick the fractions that are equivalent to 60%$

60% of the one-hundred square is shaded. Tick the fractions that are equivalent to 60%
- ${60} \over {100}$ ✓
- ${6} \over {100}$
- ${6} \over {10}$ ✓
- ${3} \over {5}$ ✓
- ${6} \over {5}$

If a whole or 1 is represented then this is equal to ______%
- '100' ✓
$Look at the image. True or false. <Math> {5} \over {20} </Math> = 25%$

Look at the image. True or false. ${5} \over {20}$ = 25%
- True ✓
- False
Jun has a bag of beads. ${8} \over {20}$ of the beads are yellow. What percentage of the beads is this?
- 8%
- 20%
- 40% ✓
- 50%
Match the percentages to an equivalent fraction.
- 60%
  
  ⇔
  
  ${3} \over {5}$ ✓
- 30%
  
  ⇔
  
  ${3} \over {10}$ ✓
- 75%
  
  ⇔
  
  ${3} \over {4}$ ✓
Match the decimals and percentages that are equivalent.
- 0.45
  
  ⇔
  
  45% ✓
- 0.07
  
  ⇔
  
  7% ✓
- 0.7
  
  ⇔
  
  70% ✓
- 0.5
  
  ⇔
  
  50% ✓
Look at the sets of fractions, decimals and percentages. Which set is correct?
- 50% = 0.5 = ${1} \over {5}$
- 50% = 0.05 = ${1} \over {2}$
- 50% = 0.5 = ${1} \over {2}$ ✓

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To convert from percent to a fraction, start by converting each percentage into a fraction with a denominator of 100
Use factor pairs to help you identify the highest common factor.
The percentage parts always add together to be equal to 100%

Pupils may find simplifying fractions difficult and understanding that they first need to identify the highest common factor.

Model writing out fraction pairs and finding the highest common factor. Have worked examples displayed for pupils to reference.