New
New
Year 5

Find the whole when the size of a non-unit fraction is known

I can find the whole when the size of a non-unit fraction is known.

New
New
Year 5

Find the whole when the size of a non-unit fraction is known

I can find the whole when the size of a non-unit fraction is known.

Lesson details

Key learning points

  1. This is __ of the whole so one part of the whole is __
  2. There will be __ of these parts in the whole
  3. If you work out the size of a unit fraction from the non-unit fraction, you can work out the size of the whole

Common misconception

Pupils multiply the non-unit fraction by the denominator to create the whole.

Ensure pupils spend time breaking down non-unit fractions back into unit fractions. Encourage pupils to recognise this as two stages. Firstly, find the unit fraction. Secondly, re-create the whole.

Keywords

  • Represent - To represent something means to show something in a different way. The same thing can be shown using multiple representations.

  • 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.

  • Denominator - The denominator is the bottom number in a fraction.

  • Numerator - The numerator is the top number in a fraction.

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.
Complete: $$ \frac{1}{4} $$ + $$ \frac{1}{4} $$ + $$ \frac{1}{4} $$ + $$ \frac{1}{4} $$ =
Correct Answer: 1, 1 whole, one whole, four quarters
Q2.
The image represents $$ \frac{3}{4} $$ of the shape. Tick the image that shows $$ \frac{1}{4} $$
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q3.
The image represents $$ \frac{2}{5} $$ of the whole. Tick the image that shows $$ \frac{1}{5} $$
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q4.
The part of the image shown by the arrow represents $$ \frac{6}{8} $$ How many intervals would represent $$ \frac{1}{8} $$
An image in a quiz
Correct answer: 1
2
3
4
Q5.
The image represents $$ \frac{1}{4} $$ of the whole. How many cubes would be needed to make the whole? cubes
An image in a quiz
Correct Answer: 8
Q6.
The image represents $$ \frac{3}{5} $$ of the whole. How many circles would be needed to represent the whole?
An image in a quiz
Correct Answer: 20, twenty

6 Questions

Q1.
Think about a fraction. The __________ tells us how many equal parts the whole has been divided into.
numerator
Correct answer: denominator
whole fraction
Q2.
The image represents $$ \frac{2}{5} $$ of the whole. Tick the images that could represent the whole.
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q3.
Tick the image that represents the whole collection. Sam says ‘This is two-quarters of the apples Mum bought on her shopping trip.’
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q4.
Which line would have the largest whole?
An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q5.
If $$ \frac{5}{8} $$ of a number is 45, what is the number?
Correct Answer: 72
Q6.
If $$ \frac{3}{5} $$ of a number is 330, what is the number?
Correct Answer: 550