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Year 6

Use long division with fraction remainders

I can use long division and give the remainder as a fraction.

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New
New
Year 6

Use long division with fraction remainders

I can use long division and give the remainder as a fraction.

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Lesson details

Key learning points

  1. When giving the remainder as a fraction, the denominator is the same as the divisor.
  2. If the remainder can be simplified then the denominator will be a factor of the divisor.
  3. 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...

This lesson includes fractions and simplifying fractions. You may wish to revise fractions and equivalence prior to the lesson or scaffold simplifying fraction remainders for some learners.
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Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

6 Questions

Q1.
Match the division equations to their quotients.
Correct Answer:280 ÷ 7 ,40
tick

40

Correct Answer:640 ÷ 8 = ,80
tick

80

Correct Answer:540 ÷ 9 = ,60
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60

Correct Answer:540 ÷ 6 = ,90
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90

Correct Answer:490 ÷ 7 = ,70
tick

70

Q2.
Match the division equations to their remainders.
Correct Answer:281 ÷ 7 = 40 ,r1
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r1

Correct Answer:642 ÷ 8 = 80,r2
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r2

Correct Answer:543 ÷ 9 = 60,r3
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r3

Correct Answer:544 ÷ 6 = 90,r4
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r4

Correct Answer:495 ÷ 7 = 70,r5
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r5

Q3.
Select the proper fractions.
Correct answer: 912
1312
129
Correct answer: 67
97
Q4.
Select the fractions that are in their simplest form.
912
Correct answer: 37
69
Correct answer: 67
236
Q5.
Select the fractions that could simplify to 23
67
Correct answer: 69
Correct answer: 1421
13
45
Q6.
Calculate the equation using long division. If there is a remainder write this using r.
An image in a quiz
Correct Answer: 227 r18

6 Questions

Q1.
Use the multiplication facts to derive 20 × 16 =
An image in a quiz
Correct Answer: 320
Q2.
Match the fractions with an equivalent fraction
Correct Answer:12,918
tick

918

Correct Answer:13,1236
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1236

Correct Answer:78,4956
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4956

Q3.
Complete the sentence: The remainder can be written as a fraction of the __________.
quotient
dividend
Correct answer: divisor
Q4.
Sam wants to write her division equation 345 ÷ 12 = 28 r9 with a fraction remainder. Which is correct?
Correct answer: 345 ÷ 12 = 28 912
345 ÷ 12 = 28 129
Q5.
Solve the equation using long division and select the correct representation of the remainder as a fraction. 482 ÷ 15 =
Correct answer: 482 ÷ 15 = 32 215
482 ÷ 15 = 31 315
482 ÷ 15 = 33 415
Q6.
Flamingos at the zoo eat 12 shrimp a day. How many days will 1,928 shrimp last? Complete a long division to solve the problem and select the simplified fraction remainder.
12
Correct answer: 23
34
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