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Year 4

Solve problems involving addition and subtraction of mixed numbers

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

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New
New
Year 4

Solve problems involving addition and subtraction of mixed numbers

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

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Lesson details

Key learning points

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

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.

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.


To help you plan your year 4 maths lesson on: Solve problems involving addition and subtraction of mixed numbers, download all teaching resources for free and adapt to suit your pupils' needs...

Children need to have a secure understanding of how to add and subtract proper fractions and mixed numbers and how to convert between mixed numbers and improper fractions.
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Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

6 Questions

Q1.
Look at this calculation: 410310 What is the unit we are working with?
thirds
quarters
fifths
Correct answer: tenths
Q2.
245 + 135 =
375
3710
Correct answer: 425
4210
115
Q3.
345135 =
475
4710
15
10
Correct answer: 215
Q4.
Use ‘finding the difference’ by counting on to solve 829789
15109
151018
169
Correct answer: 39
139
Q5.
Match the mixed number to their equivalent improper fraction.
Correct Answer:145,95
tick

95

Correct Answer:445,245
tick

245

Correct Answer:245,145
tick

145

Correct Answer:515,265
tick

265

Correct Answer:335 ,185
tick

185

Q6.
By expressing the mixed numbers as improper fractions, calculate this: 738258 =
Correct answer: 468
988
10
528
6

6 Questions

Q1.
Which bar model represents this problem? Izzy eats one and one-quarter slices of pizza. How much less pizza does she eat than Andeep who has eaten two and three-quarter slices of pizza?
An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q2.
Look at the table. How far does Izzy walk over Monday and Tuesday in all?
An image in a quiz
455
Correct answer: 5
535
345
Q3.
Look at the table. How far does Izzy walk over Tuesday and Wednesday in total?
An image in a quiz
565
6
Correct answer: 615
515
Q4.
Look at the table. How much further does Izzy walk on Wednesday than Thursday?
An image in a quiz
455
5
215
Correct answer: 145
Q5.
Andeep has a five and five-tenths metres of rope. He cuts a piece off. He has three and two-tenth metres left. What length of rope did he cut off?
2710
Correct answer: 2310
8710
230
1310
Q6.
Izzy spends two and three-quarter hours in the park on Saturday and another two and two-quarter hours on Sunday. How long does she spend in the park in total?
458
258
Correct answer: 514
14
464
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