Use long division with fraction remainders | Maths | Quizalize & Oak National Academy

Starter quiz

Match the division equations to their quotients.
- 280 ÷ 7
  
  ⇔
  
  40 ✓
- 640 ÷ 8 =
  
  ⇔
  
  80 ✓
- 540 ÷ 9 =
  
  ⇔
  
  60 ✓
- 540 ÷ 6 =
  
  ⇔
  
  90 ✓
- 490 ÷ 7 =
  
  ⇔
  
  70 ✓
Match the division equations to their remainders.
- 281 ÷ 7 = 40
  
  ⇔
  
  r1 ✓
- 642 ÷ 8 = 80
  
  ⇔
  
  r2 ✓
- 543 ÷ 9 = 60
  
  ⇔
  
  r3 ✓
- 544 ÷ 6 = 90
  
  ⇔
  
  r4 ✓
- 495 ÷ 7 = 70
  
  ⇔
  
  r5 ✓
Select the proper fractions.
- ${9} \over{12}$ ✓
- ${13} \over{12}$
- ${12} \over{9}$
- ${6} \over{7}$ ✓
- ${9} \over{7}$
Select the fractions that are in their simplest form.
- ${9} \over{12}$
- ${3} \over{7}$ ✓
- ${6} \over{9}$
- ${6} \over{7}$ ✓
- ${2} \over{36}$
Select the fractions that could simplify to ${2} \over{3}$
- ${6} \over{7}$
- ${6} \over{9}$ ✓
- ${14} \over{21}$ ✓
- ${1} \over{3}$
- ${4} \over{5}$
Calculate the equation using long division. If there is a remainder write this using r.
- '227 r18' ✓

Exit quiz

Use the multiplication facts to derive 20 × 16 = ______
- '320' ✓
Match the fractions with an equivalent fraction
- ${1} \over{2}$
  
  ⇔
  
  ${9} \over{18}$ ✓
- ${1} \over{3}$
  
  ⇔
  
  ${12} \over{36}$ ✓
- ${7} \over{8}$
  
  ⇔
  
  ${49} \over{56}$ ✓
Complete the sentence: The remainder can be written as a fraction of the __________.
- quotient
- dividend
- divisor ✓
Sam wants to write her division equation 345 ÷ 12 = 28 r9 with a fraction remainder. Which is correct?
- 345 ÷ 12 = 28 ${9} \over{12}$ ✓
- 345 ÷ 12 = 28 ${12} \over{9}$
Solve the equation using long division and select the correct representation of the remainder as a fraction. 482 ÷ 15 =
- 482 ÷ 15 = 32 ${2} \over{15}$ ✓
- 482 ÷ 15 = 31 ${3} \over{15}$
- 482 ÷ 15 = 33 ${4} \over{15}$
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.
- ${1} \over{2}$
- ${2} \over{3}$ ✓
- ${3} \over{4}$

Worksheet

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Presentation

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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.