Solve problems involving converting between mixed numbers and improper fractions | Maths

Starter quiz

Which symbol would make this inequality correct?
- < ✓
- >
- =
Starting with the smallest, put these fractions in order.
- 1
  
  ⇔
  
  ${3} \over {10}$
- 2
  
  ⇔
  
  ${4} \over {10}$
- 3
  
  ⇔
  
  ${5} \over {10}$
- 4
  
  ⇔
  
  ${8} \over {10}$
- 5
  
  ⇔
  
  ${9} \over {10}$
If we want to express ${21} \over {3}$ as a mixed number, the unit we need to think about is ______.
- 'thirds' ✓
Match the calculation to its result.
- 4 × 10 + 1 =
  
  ⇔
  
  41 ✓
- 6 × 7 + 3 =
  
  ⇔
  
  45 ✓
- 20 ÷ 5 =
  
  ⇔
  
  4 ✓
- 3 × 5 + 4 =
  
  ⇔
  
  19 ✓
- 45 ÷ 5 =
  
  ⇔
  
  9 ✓
Express ${9} \over {7}$ as a mixed number.
- $1{{1} \over {7}}$
- $1{{2} \over {7}}$ ✓
- $1{{3} \over {7}}$
- $2{{1} \over {7}}$
- $2{{2} \over {7}}$
Express $3{{1} \over {10}}$ as an improper fraction.
- ${31} \over {10}$ ✓
- ${1} \over {10}$
- ${3} \over {10}$
- ${30} \over {10}$
- ${31} \over {10}$ ✓

Exit quiz

$Convert this improper fraction into a mixed number.$

Convert this improper fraction into a mixed number.
- $1 {{2} \over {4}}$
- $2 {{2} \over {4}}$ ✓
- $2 {{1} \over {4}}$
- ${10} \over {4}$
Convert this mixed fraction into an improper fraction. $3 {{1} \over {5}}$
- ${1} \over {5}$
- ${4} \over {5}$
- ${11} \over {5}$
- ${16} \over {5}$ ✓
- ${31} \over {5}$
$Compare these fractions using < > or =$

Compare these fractions using < > or =
- < ✓
- >
- +
True or false?
- True ✓
- False
Aisha has three and two-quarters oranges. Jun has 13 quarters of oranges. Which statement is correct?
- Three and two-quarters = 13 quarters
- Three and two-quarters > 13 quarters ✓
- Three and two-quarters < 13 quarters
Aisha runs two and four-fifths of a kilometre. Jun runs 14 fifths of a kilometre. Who has run the furthest?
- Aisha has run the furthest.
- Jun has run the furthest.
- They have both run the same distance. ✓

Worksheet

Loading worksheet ...

Presentation

Loading presentation ...

Video

Lesson Details

Key learning points

Mixed numbers can be converted into improper fractions and vice versa.
Times table knowledge can help to convert between mixed numbers and improper fractions.
To solve problems comparing amounts with different types of fractions, convert to the same type of fraction.

Common misconception

Children may make mistakes when using the generalisations if they are unaware of the structure behind them.

Check your answers using the corresponding stem sentences or by representing the number. Ensure that, when you compare amounts that are presented as different fraction types, you convert to the same fraction type.

Keywords

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