Express a quantity as a mixed number and an improper fraction
I can express a quantity as a mixed number and an improper fraction.
Express a quantity as a mixed number and an improper fraction
I can express a quantity as a mixed number and an improper fraction.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A mixed number can be written as an improper fraction of equal value.
- The generalisation, ‘First we multiply the whole number by the denominator then we add the numerator’ can help.
Keywords
Mixed number - A mixed number is a whole number and a fraction combined. For example, one and a half is a mixed number.
Improper fraction - An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Common misconception
Children may just add the whole number part of the mixed number to the numerator or may forget to add the fractional part of the mixed number.
Encourage children to check their work using the stem sentence or generalisation developed in the lesson, 'first we multiply the whole number by the denominator, then we add the numerator'.
To help you plan your year 4 maths lesson on: Express a quantity as a mixed number and an improper fraction, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 4 maths lesson on: Express a quantity as a mixed number and an improper fraction, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Addition and subtraction of fractions and mixed numbers (within a whole) unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
3 × 7 = -
21
4 × 7 = -
28
7 × 5 = -
35
6 × 7 = -
42
7 × 7 = -
49
Exit quiz
6 Questions
$$ 1{{3} \over {9}}$$ = -
$$ {12} \over {9}$$
$$ 3{{5} \over {9}}$$ = -
$$ {32} \over {9}$$
$$ 2{{4} \over {9}}$$ = -
$$ {22} \over {9}$$
$$ 2{{8} \over {9}}$$ = -
$$ {26} \over {9}$$
$$ 1{{7} \over {9}}$$ = -
$$ {16} \over {9}$$