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Year 6

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

I can use fraction, decimal and percentage conversions to solve problems.

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Year 6

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

I can use fraction, decimal and percentage conversions to solve problems.

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These resources will be removed by end of Summer Term 2025.

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Lesson details

Key learning points

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

Keywords

  • Convert - Convert means to change from one form to another.

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

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

Common misconception

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.


To help you plan your year 6 maths lesson on: Use knowledge of fraction-decimal-percentage conversions to solve problems in a range of contexts, download all teaching resources for free and adapt to suit your pupils' needs...

Again to support access throughout this lesson, you may wish to develop speed of recall of percentages and their fraction equivalent (e.g. 25% and one-quarter) outside of the lesson.
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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.
Match the fractions that are equivalent.
Correct Answer:$$ {30} \over {100} $$,$$ {3} \over {10} $$
tick

$$ {3} \over {10} $$

Correct Answer:$$ {60} \over {100} $$,$$ {6} \over {10} $$
tick

$$ {6} \over {10} $$

Correct Answer:$$ {80} \over {100} $$,$$ {8} \over {10} $$
tick

$$ {8} \over {10} $$

Correct Answer:$$ {40} \over {100} $$,$$ {4} \over {10} $$
tick

$$ {4} \over {10} $$

Q2.
Match the fraction to the correct percentage.
Correct Answer:$$ {5} \over {10} $$,50%
tick

50%

Correct Answer:$$ {85} \over {100} $$,85%
tick

85%

Correct Answer:$$ {2} \over {10} $$,20%
tick

20%

Correct Answer:$$ {44} \over {100} $$,44%
tick

44%

Correct Answer:$$ {8} \over {10} $$,80%
tick

80%

Q3.
What does the representation show?
An image in a quiz
$$ {60} \over {100} $$
60%
$$ {6} \over {10} $$
Correct answer: $$ {6} \over {100} $$
Correct answer: 6%
Q4.
Look at the image. What fractions does it show?
An image in a quiz
Correct answer: $$ {5} \over {10} $$
Correct answer: $$ {1} \over {2} $$
$$ {5} \over {100} $$
$$ {25} \over {10} $$
Correct answer: $$ {50} \over {100} $$
Q5.
What is the missing denominator in this fraction?
An image in a quiz
Correct Answer: 20
Q6.
60% of the one-hundred square is shaded. Tick the fractions that are equivalent to 60%
An image in a quiz
Correct answer: $$ {60} \over {100} $$
$$ {6} \over {100} $$
Correct answer: $$ {6} \over {10} $$
Correct answer: $$ {3} \over {5} $$
$$ {6} \over {5} $$

Exit quiz

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6 Questions

Q1.
If a whole or 1 is represented then this is equal to %
Correct Answer: 100
Q2.
Look at the image. True or false. $$ {5} \over {20} $$ = 25%
An image in a quiz
Correct answer: True
False
Q3.
Jun has a bag of beads. $$ {8} \over {20} $$ of the beads are yellow. What percentage of the beads is this?
8%
20%
Correct answer: 40%
50%
Q4.
Match the percentages to an equivalent fraction.
Correct Answer:60%,$$ {3} \over {5} $$
tick

$$ {3} \over {5} $$

Correct Answer:30%,$$ {3} \over {10} $$
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$$ {3} \over {10} $$

Correct Answer:75%,$$ {3} \over {4} $$
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$$ {3} \over {4} $$

Q5.
Match the decimals and percentages that are equivalent.
Correct Answer:0.45,45%
tick

45%

Correct Answer:0.07,7%
tick

7%

Correct Answer:0.7,70%
tick

70%

Correct Answer:0.5,50%
tick

50%

Q6.
Look at the sets of fractions, decimals and percentages. Which set is correct?
50% = 0.5 = $$ {1} \over {5} $$
50% = 0.05 = $$ {1} \over {2} $$
Correct answer: 50% = 0.5 = $$ {1} \over {2} $$