Convert a number of fifths from an improper fraction to mixed number | Maths

Starter quiz

Look at this number ${6} \over {5}$ We say it as six ______.
- 'fifths' ✓
Match the equation to its answer.
- 5 ÷ 5 =
  
  ⇔
  
  1 ✓
- 15 ÷ 5 =
  
  ⇔
  
  3 ✓
- 20 ÷ 5 =
  
  ⇔
  
  4 ✓
- 50 ÷ 5 =
  
  ⇔
  
  10 ✓
- 60 ÷ 5 =
  
  ⇔
  
  12 ✓
Which of the following are mixed numbers?
- ${7} \over {5}$
- $1{{3} \over {5}}$ ✓
- ${3} \over {5}$
- ${13} \over {5}$
- $4{{1} \over {5}}$ ✓
Which of the following are improper fractions?
- ${1} \over {5}$
- ${6} \over {5}$ ✓
- ${2} \over {5}$
- ${4} \over {5}$
- ${12} \over {5}$ ✓
Look at this counting sequence. What comes next? 15 fifths 20 fifths 25 fifths ______ fifths.
- '30' ✓
A whole has been divided into five equal parts. Which unit do we need to think about?
- halves
- thirds
- quarters
- fifths ✓
- tenths

Five fifths is equivalent to ______ whole.
- 'one' ✓
Match the improper fractions to their equivalent whole number.
- ${15} \over {5}$
  
  ⇔
  
  3 ✓
- ${25} \over {5}$
  
  ⇔
  
  5 ✓
- ${40} \over {5}$
  
  ⇔
  
  8 ✓
- ${50} \over {5}$
  
  ⇔
  
  10 ✓
- ${55} \over {5}$
  
  ⇔
  
  11 ✓
$Use the part-part-whole model to express <Math> {7} \over {5}</Math> as a mixed number.$

Use the part-part-whole model to express ${7} \over {5}$ as a mixed number.
- ${5} \over {5}$
- ${2} \over {5}$
- $2{1} \over {5}$
- $1{{2} \over {5}}$ ✓
- $1{{1} \over {5}}$
Which of these represents this improper fraction ${8} \over {5}$ as a mixed number?
- $1{{1} \over {5}}$
- $1{{2} \over {5}}$
- $1{{3} \over {5}}$ ✓
- $1{{3} \over {6}}$
$Use the part-part-whole model to express <Math> {17} \over {5}</Math> as a mixed number.$

Use the part-part-whole model to express ${17} \over {5}$ as a mixed number.
- ${2} \over {5}$
- ${15} \over {5}$
- $2{{2} \over {5}}$
- $3{{1} \over {5}}$
- $3{{2} \over {5}}$ ✓
Match the improper fractions to their equivalent mixed number.
- ${13} \over {5}$
  
  ⇔
  
  $2{{3} \over {5}}$ ✓
- ${21} \over {5}$
  
  ⇔
  
  $4{{1} \over {5}}$ ✓
- ${38} \over {5}$
  
  ⇔
  
  $7{{3} \over {5}}$ ✓
- ${43} \over {5}$
  
  ⇔
  
  $8{{3} \over {5}}$ ✓
- ${48} \over {5}$
  
  ⇔
  
  $9{{3} \over {5}}$ ✓

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An improper fraction is a fraction where the value of the numerator is greater than the value of the denominator.
An improper fraction is greater than 1
Five fifths are equal to one whole or 1
If there are fifths left, they form the fraction part of the mixed number.

Children may not fully convert and may leave the fractional part of the mixed number as an improper fraction e.g. 13/5 = 1 and 8/5

Support via questioning: How many fifths make one whole? How many full groups of five fifths can you make?

Mixed number - A mixed number is a whole number and a fraction combined.
Improper fraction - An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).