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

      Lesson details

      Learning outcome

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

      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

      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.

      Common misconception

      Pupils think that they have to divide the shape by the denominator to create the unit fraction.

      This is an example of where a lack of conceptual understanding can lead to procedural errors. Ensure pupils represent the maths using equal parts and label each of these parts as the fractional value they have.

      Teacher tip

      Ensure pupils get to see how non-unit fractions are represented in a variety of examples including cardinal, area and linear contexts, so they can become familiar with identifying unit fractions within these.

      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

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      A non-unit fraction is a fraction that has a numerator that is __________.

      Correct answer: greater than one
      less than one
      equal to the denominator

      Q2.
      Tick the unit fractions.

      Correct answer: $$ \frac{1}{4} $$
      $$ \frac{2}{5} $$
      $$ \frac{7}{8} $$
      Correct answer: $$ \frac{1}{10} $$

      Q3.
      Look at the image. If this is the whole, what fraction of the whole is each segment?

      An image in a quiz
      $$ \frac{1}{4} $$
      $$ \frac{1}{5} $$
      Correct answer: $$ \frac{1}{8} $$
      $$ \frac{1}{10} $$

      Q4.
      Tick the descriptions that match this image.

      An image in a quiz
      Correct answer: 3 tenths
      Correct answer: 3 lots of one-tenth
      Correct answer: one-tenth, 3 times
      one-third

      Q5.
      The image represents the whole. How many £1 coins would be equivalent to $$ \frac{4}{5} $$ of the whole?

      An image in a quiz
      Correct Answer: 4, four, four coins

      Q6.
      These three circles make up one-quarter of the whole. How many circles are needed to make the whole?

      An image in a quiz
      Correct Answer: 12

      6 Questions

      Q1.
      The image represents $$ \frac{4}{8} $$ of the pizza. Tick the image that shows $$ \frac{1}{8} $$

      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

      Q2.
      The image represents $$ \frac{5}{6} $$ of the whole. Tick the image that represents $$ \frac{1}{6} $$

      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
      An image in a quiz

      Q3.
      The part of the image shown by the arrow represents $$ \frac{4}{10} $$ How many intervals would represent $$ \frac{1}{10} $$

      An image in a quiz
      Correct answer: 1
      2
      3
      4

      Q4.
      The shaded part of the image represents $$ \frac{1}{5} $$ Tick the images that represent $$ \frac{3}{5} $$

      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
      Correct Answer: An image in a quiz
      An image in a quiz

      Q5.
      Izzy has saved some money. The image shows $$ \frac{5}{10} $$ of what she has saved. How much would $$ \frac{1}{10} $$ of her saved money be equal to? £

      An image in a quiz
      Correct Answer: 2, 2 pounds, £2

      Q6.
      The arrow on the number line represents $$ \frac{3}{9} $$ How many intervals would be equal to $$ \frac{1}{9} $$?

      An image in a quiz
      1
      2
      Correct answer: 3
      4
      5

      To help you plan your 5 maths lesson on: Find a unit fraction when the size of a non-unit fraction is known, download all teaching resources for free and adapt to suit your pupils' needs...