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

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

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

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

## Lesson details

### Key learning points

- Times table knowledge can help to convert a mixed number to an improper fraction.
- Calculate how many of the fraction are needed to equal the value of the whole number.
- Add the value of the fraction part to the numerator of the fraction equivalent to the whole number part.

### Common misconception

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

First multiply the whole number by the denominator then add the numerator. Multiplying the whole number by the denominator tells us the number of parts that can be made from the whole number part then we need to add the parts shown by the numerator.

### 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

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## Starter quiz

### 6 Questions

2 × 8 = -

16

3 × 8 = -

24

8 × 5 = -

40

8 × 6 = -

48

11 × 8 = -

88

3 × 8 + 1 = -

25

5 × 8 + 3 = -

43

8 × 2 + 2 = -

18

8 × 5 + 4 = -

44

7 × 8 + 7 = -

63

## Exit quiz

### 6 Questions

$$1{{2} \over {7}}$$ -

$$ {9} \over {7}$$

$$2{{3} \over {7}}$$ -

$$ {17} \over {7}$$

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

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

$$4{{6} \over {7}}$$ -

$$ {34} \over {7}$$

$$5{{1} \over {7}}$$ -

$$ {36} \over {7}$$