Explain how an improper fraction is converted into a mixed number
I can explain how an improper fraction is converted into a mixed number.
Explain how an improper fraction is converted into a mixed number
I can explain how an improper fraction is converted into a mixed number.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Times table knowledge can help to convert an improper fraction to a mixed number.
- Work out how many wholes can be made from the numerator of the improper fraction.
- Any fractions left over form the fraction part of the mixed number.
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 divide.
Find how many groups of the denominator can be made from the numerator by dividing. This tells us how many full groups we can make, which gives us the whole number part of the mixed number. The remainder tells us the fractional part.
To help you plan your year 4 maths lesson on: Explain how an improper fraction is converted into a mixed number, 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 an improper fraction is converted into a mixed number, 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
16 ÷ 8 = -
2
24 ÷ 8 = -
3
40 ÷ 8 = -
5
56 ÷ 8 = -
7
96 ÷ 8 = -
12
17 ÷ 8 = -
2 r1
26 ÷ 8 = -
3 r2
43 ÷ 8 = -
5 r3
60 ÷ 8 = -
7 r4
99 ÷ 8 = -
12 r3
$$ {18} \over {6}$$ -
3
$$ {40} \over {8}$$ -
5
$$ {40} \over {10}$$ -
4
$$ {50} \over {5}$$ -
10
$$ {66} \over {6}$$ -
11

Exit quiz
6 Questions
$$ {29} \over {7}$$ -
$$ 4{{1} \over {7}}$$
$$ {30} \over {7}$$ -
$$ 4{{2} \over {7}}$$
$$ {33} \over {7}$$ -
$$ 4{{5} \over {7}}$$
$$ {37} \over {7}$$ -
$$ 5{{2} \over {7}}$$
$$ {39} \over {7}$$ -
$$ 5{{4} \over {7}}$$