New
New
Year 5

Multiply a whole number by a proper fraction

I can multiply a whole number by a proper fraction

New
New
Year 5

Multiply a whole number by a proper fraction

I can multiply a whole number by a proper fraction

Lesson details

Key learning points

  1. The whole has been divided into __ equal parts and there are __ in each part.
  2. Divide the whole number into equal parts by dividing by the denominator.
  3. The numerator tells you how many of the equal parts you need.
  4. To calculate a non-unit fraction you divide the number by the denominator and multiply by the numerator.

Common misconception

Pupils struggle to identify how much the rod has been scaled by as they cannot visualise the fractional size of the new whole.

Encourage pupils to visualise how much the whole has shrunk by. Avoid pupils using the rods to immediately find out what size of the new whole, encourage pupils to visualise and estimate prior to checking with the rods.

Keywords

  • Relationship - A relationship is a connection between two or more things.

  • Unit fraction - A unit fraction is a fraction that has a numerator of one.

  • Non-unit fraction - A non-unit fraction is a fraction that has a numerator greater than one.

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).

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6 Questions

Q1.
To find a unit fraction of an amount, you can:
Divide the whole by the numerator.
Correct answer: Divide the whole by the denominator.
Multiply the whole by the denominator.
Q2.
The word ‘of’ can be replaced with which mathematical symbol?
+
-
Correct answer: ×
÷
Q3.
Tick all the examples here which are factors of 24
Correct answer: 4
Correct answer: 6
Correct answer: 8
10
Correct answer: 12
Q4.
Tick the equations that represent this image.
An image in a quiz
Correct answer: $$ \frac{1}{4} $$ × 12 = 3
Correct answer: 12 × $$ \frac{1}{4} $$ = 3
Correct answer: 12 ÷ 4 = 3
Correct answer: 3 × 4 = 12
3 ÷ 4 = 12
Q5.
One- fifth of 15 is equal to
An image in a quiz
Correct Answer: 3, three
Q6.
Look at the image. 100 has been made __________.
An image in a quiz
Correct answer: one-tenth the size
ten times the size
Correct answer: ten times smaller
ten times larger

6 Questions

Q1.
When you multiply a whole number by a non-unit fraction, the whole number becomes .
Correct Answer: smaller
Q2.
Fill in the missing word or symbol. $$ \frac{1}{5} $$ ________ 20 = 4
Correct answer: of
multiplied by
times
Correct answer: ×
Q3.
Tick the equations that represent this image.
An image in a quiz
12 × 3 = 36
$$ \frac{3}{4} $$ × 12 = 9
Correct answer: 12 × $$ \frac{1}{4} $$ = 3
Correct answer: 12 ÷ 4 = 3
Correct answer: $$ \frac{1}{4} $$ × 12 = 3
Q4.
Tick the statements that are true.
An image in a quiz
Correct answer: 10 is one-third times the size of 30
10 is 3 times the size of 30
Correct answer: 30 is 3 times the size of 10
30 is one-third times the size of 10
Q5.
Tick the bar model that best represents this equation: $$ \frac{3}{4} $$ × 20 = 15
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q6.
Write in the missing number for this equation.
An image in a quiz
Correct Answer: 4