Use long division with fraction remainders
I can use long division and give the remainder as a fraction.
Use long division with fraction remainders
I can use long division and give the remainder as a fraction.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- When giving the remainder as a fraction, the denominator is the same as the divisor.
- If the remainder can be simplified then the denominator will be a factor of the divisor.
- The fraction can be interpreted as a fraction of the unit of the dividend or the divisor depending on the context.
Keywords
Remainder - A remainder is an amount left after a division.
Fraction - A fraction shows us how many parts in a whole. It is a number.
Common misconception
Pupils do not make the link between fractions and division and therefore do not understand why a remainder can be written as a fraction.
Show that fractions can be the result of division e.g. one-quarter is one divided by four. Use models and examples to show that a remainder can be written as a fraction of a whole group (the divisor).
To help you plan your year 6 maths lesson on: Use long division with fraction remainders, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 6 maths lesson on: Use long division with fraction remainders, 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 Multiplying and dividing by 2-digit numbers unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Equipment
Licence
Lesson video
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Starter quiz
6 Questions
280 ÷ 7 -
40
640 ÷ 8 = -
80
540 ÷ 9 = -
60
540 ÷ 6 = -
90
490 ÷ 7 = -
70
281 ÷ 7 = 40 -
r1
642 ÷ 8 = 80 -
r2
543 ÷ 9 = 60 -
r3
544 ÷ 6 = 90 -
r4
495 ÷ 7 = 70 -
r5
Exit quiz
6 Questions
$$ {1} \over{2}$$ -
$$ {9} \over{18}$$
$$ {1} \over{3}$$ -
$$ {12} \over{36}$$
$$ {7} \over{8}$$ -
$$ {49} \over{56}$$