# Solve problems involving addition and subtraction of mixed numbers

I can solve problems involving the addition and subtraction of mixed numbers.

# Solve problems involving addition and subtraction of mixed numbers

I can solve problems involving the addition and subtraction of mixed numbers.

## Lesson details

### Key learning points

- Improper fractions can be added and subtracted in the same way as proper fractions.
- When interpreting data or solving problems, number-sense is needed to determine the most efficient strategy to use.
- Decide on the most efficient strategy by looking at the fractions of the minuend and subtrahend.
- Bar models are a useful tool to represent word problems and support in forming an equation to solve.

### Common misconception

Children may not always choose an efficient strategy when adding or subtracting mixed numbers. This may result in calculation errors being made.

Look at the numbers in the calculation. What do you notice? Which strategy would be most efficient to use with these numbers? Check your answer using a different strategy. If you get the same answer, you are likely to be correct.

### 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

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

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

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

$$ {24} \over {5}$$

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

$$ {14} \over {5}$$

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

$$ {26} \over {5}$$

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

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