Use long division with fraction remainders
I can use long division and give the remainder as a fraction.
- Year 6
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.
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).
Equipment
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Match the division equations to their quotients.
280 ÷ 7 - 40
640 ÷ 8 = - 80
540 ÷ 9 = - 60
540 ÷ 6 = - 90
490 ÷ 7 = - 70
Q2.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
Q3.Select the proper fractions.
Q4.Select the fractions that are in their simplest form.
Q5.Select the fractions that could simplify to $$ {2} \over{3}$$
Q6.Calculate the equation using long division. If there is a remainder write this using r.
Assessment exit quiz
6 Questions
Q1.Use the multiplication facts to derive 20 × 16 =
Q2.Match the fractions with an equivalent fraction
$$ {1} \over{2}$$ - $$ {9} \over{18}$$
$$ {1} \over{3}$$ - $$ {12} \over{36}$$
$$ {7} \over{8}$$ - $$ {49} \over{56}$$
Q3.Complete the sentence:
The remainder can be written as a fraction of the __________.
Q4.Sam wants to write her division equation 345 ÷ 12 = 28 r9 with a fraction remainder. Which is correct?
Q5.Solve the equation using long division and select the correct representation of the remainder as a fraction. 482 ÷ 15 =
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.
