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.
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.
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).
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.
Equipment
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
Loading...
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
$$ {1} \over{2}$$ -
$$ {9} \over{18}$$
$$ {1} \over{3}$$ -
$$ {12} \over{36}$$
$$ {7} \over{8}$$ -
$$ {49} \over{56}$$