# Explain how an improper fraction is converted into a mixed number

I can explain how an improper fraction is converted into a mixed number.

# Explain how an improper fraction is converted into a mixed number

I can explain how an improper fraction is converted into a mixed number.

## Lesson details

### Key learning points

- Times table knowledge can help to convert an improper fraction to a mixed number.
- Work out how many wholes can be made from the numerator of the improper fraction.
- Any fractions left over form the fraction part of the mixed number.

### Common misconception

Children may make mistakes when using the generalisation if they are unaware of the structure behind it and the reason that we divide.

Find how many groups of the denominator can be made from the numerator by dividing. This tells us how many full groups we can make, which gives us the whole number part of the mixed number. The remainder tells us the fractional part.

### 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 (the top number) is greater than or equal to the denominator (the bottom number).

### 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).

## Video

Loading...

## Starter quiz

### 6 Questions

16 ÷ 8 = -

2

24 ÷ 8 = -

3

40 ÷ 8 = -

5

56 ÷ 8 = -

7

96 ÷ 8 = -

12

17 ÷ 8 = -

2 r1

26 ÷ 8 = -

3 r2

43 ÷ 8 = -

5 r3

60 ÷ 8 = -

7 r4

99 ÷ 8 = -

12 r3

$$ {18} \over {6}$$ -

3

$$ {40} \over {8}$$ -

5

$$ {40} \over {10}$$ -

4

$$ {50} \over {5}$$ -

10

$$ {66} \over {6}$$ -

11

## Exit quiz

### 6 Questions

$$ {29} \over {7}$$ -

$$ 4{{1} \over {7}}$$

$$ {30} \over {7}$$ -

$$ 4{{2} \over {7}}$$

$$ {33} \over {7}$$ -

$$ 4{{5} \over {7}}$$

$$ {37} \over {7}$$ -

$$ 5{{2} \over {7}}$$

$$ {39} \over {7}$$ -

$$ 5{{4} \over {7}}$$