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Year 5

Solve problems using fraction-decimal equivalents

I can solve problems using fraction-decimal equivalents

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New
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Year 5

Solve problems using fraction-decimal equivalents

I can solve problems using fraction-decimal equivalents

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Lesson details

Key learning points

  1. 0.1 is equal to 1/10
  2. 0.2 is equal to 1/5
  3. 0.25 is equal to 1/4
  4. 0.5 is equal to 1/2
  5. 0.5 is equal to 1/2

Keywords

  • Equivalent - Numbers are equivalent if they have exactly the same value.

Common misconception

Pupils may not appreciate that equivalent fractions and equivalent fractions and decimals have exactly the same value and can be substituted which may be beneficial when solving problems.

Model the thinking when there is a mixture of fractions and decimal representations in a problem and identify the decision as to whether to convert all to decimals or all to fractions as a step in the the problem solving process.

Encourage pupils to use the language of equivalence when converting between fractions and decimals. Give opportunities to decide whether converting a fraction to a decimal or a decimal to a fraction is most efficient. Avoid the need for common denominators to solve problems at this stage.
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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Starter quiz

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6 Questions

Q1.
Match the fraction with the equivalent or approximately equivalent decimal.
Correct Answer:$${6} \over {100}$$,0.06

0.06

Correct Answer:$${2} \over {3}$$,0.6667

0.6667

Correct Answer:$${3} \over {5}$$,0.6

0.6

Correct Answer:$${3} \over {10}$$,0.3

0.3

Q2.
Which of these expressions have a value of 0?
$${3} \over {5}$$ - 0.3
$${3} \over {5}$$ - 0.5
Correct answer: $${3} \over {5}$$ - 0.6
$${3} \over {5}$$ - 0.8
Q3.
Which of these expressions have a value of 1?
$${1}\over{4}$$ + 0.25
$${1}\over{4}$$ + 0.5
$${1}\over{4}$$ + 0.6
Correct answer: $${1}\over{4}$$ + 0.75
Q4.
Which fraction and decimal equivalent could label point a on the number line?
An image in a quiz
0.3
Correct answer: $${2}\over{10}$$
$${1}\over{6}$$
Correct answer: $${1}\over{5}$$
Correct answer: 0.2
Q5.
Which fraction and decimal equivalent could label point a on the number line?
An image in a quiz
$${4}\over{5}$$
Correct answer: $${3}\over{5}$$
Correct answer: 0.6
0.7
Correct answer: $${6}\over{10}$$
Q6.
Which fraction and decimal equivalent could label point a on the number line?
An image in a quiz
$${0}\over{4}$$
Correct answer: $${1}\over{8}$$
0.1
Correct answer: 0.125

Exit quiz

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6 Questions

Q1.
Which fraction and decimal equivalent could label point a on the number line?
An image in a quiz
$${2}\over{5}$$
Correct answer: 32.4
32.2
Correct answer: 32 $${2}\over{5}$$
0.4
Q2.
Which fraction and decimal equivalent could label point a on the number line?
An image in a quiz
$${3}\over{4}$$
Correct answer: 110.75
Correct answer: 110 $${3}\over{4}$$
0.75
111.75
Q3.
What is each jump worth on this number line as a decimal?
An image in a quiz
Correct Answer: 0.5, nought point 5, zero point 5
Q4.
How much liquid is in the jug as a fraction and decimal of a litre?
An image in a quiz
$${5}\over{6}$$
Correct answer: $${4}\over{5}$$
$${1}\over{5}$$
0.4
Correct answer: 0.8
Q5.
What mass is the arrow pointing to on this scale?
An image in a quiz
$${2}\over{5}$$ kg
Correct answer: 5 $${2}\over{5}$$ kg
0.4 kg
5.2 kg
Correct answer: 5.4 kg
Q6.
Order these fractions and decimals from the smallest to the largest.
1 - 1 $${1}\over{50}$$
2 - 1.2
3 - 1 $${4}\over{10}$$
4 - 1.5
5 - 1 $${6}\over{10}$$