Recall common fraction-decimal equivalents | Maths | Quizalize & Oak National Academy

Starter quiz

$What fraction and decimal of the hundred square is shaded?$

What fraction and decimal of the hundred square is shaded?
- ${1}\over{3}$
- 0.33333333
- ${1}\over{4}$ ✓
- 0.25 ✓
$What fraction and decimal of the hundred square is shaded?$

What fraction and decimal of the hundred square is shaded?
- ${1}\over{10}$ ✓
- 0.2
- 0.1 ✓
- ${2}\over{5}$
$What fraction and decimal of the hundred square is shaded?$

What fraction and decimal of the hundred square is shaded?
- 2.25
- ${1}\over{2}$ ✓
- ${2}\over{25}$
- 0.5 ✓
One-quarter of 100 is equal to ______
- '25' ✓
One-tenth of 100 is equal to ______
- '10' ✓
One-fifth of 100 is equal to ______
- '20' ✓

Exit quiz

${1}\over{3}$ and ${2}\over{3}$ are harder to convert to decimals because ...
- The denominator is an odd number.
- 3 is not a factor of 10 or 100 ✓
Match the fractions to their decimal equivalents.
- ${3} \over {100}$
  
  ⇔
  
  0.03 ✓
- ${3} \over {4}$
  
  ⇔
  
  0.75 ✓
- ${3} \over {5}$
  
  ⇔
  
  0.6 ✓
- ${3} \over {10}$
  
  ⇔
  
  0.3 ✓
Which pairs of cards are equivalent?
What decimal is equivalent to ${2}\over{5}$ ?
- '0.4' ✓
What decimal is approximately equivalent to ${2}\over{3}$ ?
- '0.666' ✓
Order the fractions and decimals from the largest to the smallest.
- 1
  
  ⇔
  
  ${1}\over{3}$
- 2
  
  ⇔
  
  0.3
- 3
  
  ⇔
  
  ${1}\over{5}$
- 4
  
  ⇔
  
  ${3}\over{100}$
- 5
  
  ⇔
  
  0.02

Worksheet

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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
0.75 is equal to 3/4

Common misconception

Knowing and understanding that one-fifth as a fraction is equivalent to 0.2 as a decimal and that counting in steps of 0.2 is the same as counting in fifths.

Make sure that pupils have the opportunity to rehearse the fact that one-fifth is equivalent to 0.2 more frequently during the lesson and at other times when looking at fractions and decimals.

Keywords

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