Grasp Maths

Year 3

Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators

See fractions as numbers and distinguish between unit fractions and non-unit fractions.

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Lesson overview

Number - fractions

A unit fraction has a numerator of 1, such as 14\frac{1}{4} or 15\frac{1}{5}. A non-unit fraction has a numerator greater than 1, such as 34\frac{3}{4} or 25\frac{2}{5}. Fractions can be placed on a number line because they are numbers.

Unit fractions

12\frac{1}{2}, 13\frac{1}{3} and 14\frac{1}{4} are all unit fractions.

The numerator is 1 in each case.

Non-unit fractions

23\frac{2}{3} and 34\frac{3}{4} are non-unit fractions.

The numerator is greater than 1.

Fractions on a line

Fractions can be placed between 0 and 1 on a number line.

Fractions are numbers, not only parts of shapes.

Worked example

Is 35\frac{3}{5} a unit fraction or a non-unit fraction?

  1. Look at the numerator.
  2. The numerator is 3.
  3. A unit fraction must have a numerator of 1.
  4. So 35\frac{3}{5} is a non-unit fraction.

Try it

Check the numerator first to decide the kind of fraction.

Question 1

Which is a unit fraction?

Question 2

Which is a non-unit fraction?

Question 3

Write the numerator of 47\frac{4}{7}.

Question 4

What kind of fraction is 14\frac{1}{4}?

Question 5

Which statement is true?

Common mistakes

Watch for these when working through the lesson.

  • Thinking every small fraction is a unit fraction.
  • Looking only at the denominator.
  • Forgetting that fractions can be numbers on a line.

Related topics

These ideas fit closely with this lesson.

  • Recognise and show, using diagrams, equivalent fractions with small denominators.
  • Compare and order unit fractions, and fractions with the same denominators.

Practice next

Independent practice will plug in here

This lesson introduces the idea clearly first. Deeper adaptive practice can sit here later.