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.
These resources will be removed by end of Summer Term 2025.
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.
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).
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.
To help you plan your year 4 maths lesson on: Explain how a mixed number is converted into 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: Explain how a mixed number is converted into 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.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
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Explore more key stage 2 maths lessons from the Convert improper fractions to mixed numbers and vice versa unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
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

$$1{{2} \over {7}}$$ -
$$ {9} \over {7}$$
$$2{{3} \over {7}}$$ -
$$ {17} \over {7}$$
$$4{{5} \over {7}}$$ -
$$ {33} \over {7}$$
$$4{{6} \over {7}}$$ -
$$ {34} \over {7}$$
$$5{{1} \over {7}}$$ -
$$ {36} \over {7}$$