Solve problems using fraction-decimal equivalents | Maths

Starter quiz

Match the fraction with the equivalent or approximately equivalent decimal.
- ${6} \over {100}$
  
  ⇔
  
  0.06 ✓
- ${2} \over {3}$
  
  ⇔
  
  0.6667 ✓
- ${3} \over {5}$
  
  ⇔
  
  0.6 ✓
- ${3} \over {10}$
  
  ⇔
  
  0.3 ✓
Which of these expressions have a value of 0?
- ${3} \over {5}$ - 0.3
- ${3} \over {5}$ - 0.5
- ${3} \over {5}$ - 0.6 ✓
- ${3} \over {5}$ - 0.8
Which of these expressions have a value of 1?
- ${1}\over{4}$ + 0.25
- ${1}\over{4}$ + 0.5
- ${1}\over{4}$ + 0.6
- ${1}\over{4}$ + 0.75 ✓
$Which fraction and decimal equivalent could label point a on the number line?$

Which fraction and decimal equivalent could label point a on the number line?
- 0.3
- ${2}\over{10}$ ✓
- ${1}\over{6}$
- ${1}\over{5}$ ✓
- 0.2 ✓
$Which fraction and decimal equivalent could label point a on the number line?$

Which fraction and decimal equivalent could label point a on the number line?
- ${4}\over{5}$
- ${3}\over{5}$ ✓
- 0.6 ✓
- 0.7
- ${6}\over{10}$ ✓
$Which fraction and decimal equivalent could label point a on the number line?$

Which fraction and decimal equivalent could label point a on the number line?
- ${0}\over{4}$
- ${1}\over{8}$ ✓
- 0.1
- 0.125 ✓

Exit quiz

$Which fraction and decimal equivalent could label point a on the number line?$

Which fraction and decimal equivalent could label point a on the number line?
- ${2}\over{5}$
- 32.4 ✓
- 32.2
- 32 ${2}\over{5}$ ✓
- 0.4
$Which fraction and decimal equivalent could label point a on the number line?$

Which fraction and decimal equivalent could label point a on the number line?
- ${3}\over{4}$
- 110.75 ✓
- 110 ${3}\over{4}$ ✓
- 0.75
- 111.75
What is each jump worth on this number line as a decimal?
- '0.5' ✓
$How much liquid is in the jug as a fraction and decimal of a litre?$

How much liquid is in the jug as a fraction and decimal of a litre?
- ${5}\over{6}$
- ${4}\over{5}$ ✓
- ${1}\over{5}$
- 0.4
- 0.8 ✓
What mass is the arrow pointing to on this scale?
- ${2}\over{5}$ kg
- 5 ${2}\over{5}$ kg ✓
- 0.4 kg
- 5.2 kg
- 5.4 kg ✓
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 ${6}\over{10}$

Worksheet

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Presentation

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Lesson Details

Key learning points

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