New
New
Year 5

Solve problems using fraction-decimal equivalents

I can solve problems using fraction-decimal equivalents

New
New
Year 5

Solve problems using fraction-decimal equivalents

I can solve problems using fraction-decimal equivalents

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

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.

Keywords

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

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).

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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

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