# Subtract a proper fraction from a mixed number crossing the whole

I can subtract a proper fraction from a mixed number crossing the whole.

# Subtract a proper fraction from a mixed number crossing the whole

I can subtract a proper fraction from a mixed number crossing the whole.

## Lesson details

### Key learning points

- Rods or number lines can be used to support subtracting fractions from whole or mixed numbers.
- Mixed numbers can be expressed as improper fractions to aid subtraction.
- If an answer to a calculation is an improper fraction, this should be expressed as a mixed number.
- Improper fractions can be subtracted in the same way as proper fractions.

### Common misconception

Children may not understand that a one can be exchanged from a whole and the fraction rewritten. E.g. four can be rewritten as three and five-fifths to add subtraction of an amount of fifths.

Use of rods or drawings will support children to understand this exchange. Four is the same as three and one; one is the same as five fifths so four is the same and three and five fifths.

### 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.

### 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

$$ {2} \over {4}$$ -

$$ {3} \over {4}$$ − $$ {1} \over {4}$$

$$ {1} \over {4}$$ -

$$ {3} \over {4}$$ − $$ {2} \over {4}$$

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

$$ {3} \over {5}$$ − $$ {2} \over {5}$$

$$ {2} \over {5}$$ -

$$ {4} \over {5}$$ − $$ {2} \over {5}$$

$$ {2} \over {8}$$ -

$$ {6} \over {8}$$ − $$ {4} \over {8}$$

$$ {9} \over {5}$$ -

$$1{{4} \over {5}}$$

$$ {18} \over {5}$$ -

$$3{{3} \over {5}}$$

$$ {29} \over {5}$$ -

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

$$ {34} \over {5}$$ -

$$6{{4} \over {5}}$$

$$ {46} \over {5}$$ -

$$9{{1} \over {5}}$$

$$2{{4} \over {9}}$$ -

$$ {22} \over {9}$$

$$3{{4} \over {5}}$$ -

$$ {19} \over {5}$$

$$1{{6} \over {9}}$$ -

$$ {15} \over {9}$$

$$2{{1} \over {5}}$$ -

$$ {11} \over {5}$$

$$5{{3} \over {9}}$$ -

$$ {48} \over {9}$$

## Exit quiz

### 6 Questions

4 − $$ {3} \over {4}$$ -

$$3{{1} \over {4}}$$

4 − $$ {3} \over {5}$$ -

$$3{{2} \over {5}}$$

4 − $$ {1} \over {5}$$ -

$$3{{4} \over {5}}$$

4 − $$ {2} \over {5}$$ -

$$3{{3} \over {5}}$$

4 − $$ {1} \over {4}$$ -

$$3{{3} \over {4}}$$

$$2{{4} \over {6}}$$ -

$$3{{1} \over {6}}$$ − $$ {3} \over {6}$$

$$1{{5} \over {6}}$$ -

$$2{{2} \over {6}}$$ − $$ {3} \over {6}$$

$$1{{3} \over {6}}$$ -

$$2{{1} \over {6}}$$ − $$ {4} \over {6}$$

$$3{{5} \over {6}}$$ -

$$4{{3} \over {6}}$$ − $$ {4} \over {6}$$