Maths Library

Unit and Non-Unit Fractions: Year 4 maths

Students distinguish between unit fractions (with numerator 1) and non-unit fractions, writing and identifying them from representations. Worksheets build understanding of the role of the numerator and denominator.

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What this covers

Unit and Non-Unit Fractions is taught in Year 4 (age 9 to 10) as a main teaching focus. It sits in the Fractions strand.

Worked example

A strip is divided into 5 equal parts and 3 parts are shaded. Write the fraction shaded and state whether it is a unit fraction.

  1. Total equal parts = 5, shaded parts = 3, so the fraction is 35
  2. Check numerator: numerator is 3, which is greater than 1
  3. Conclude that 35 is a non-unit fraction

Answer: 35, non-unit fraction

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Find a half, third or quarter of a number
  2. Unit fractions of larger multiples, denominators 2 to 4
  3. Find 15, 16, 18 or 110 of a quantity
  4. Larger quantities with denominators up to 10
  5. Mixed denominators, answers linked to division facts

Common mistakes

  • Thinking 1/8 is larger than 1/4 because 8 is larger than 4
  • Swapping the positions of numerator and denominator

Curriculum links

Indicative matches to Australian Curriculum v9. Check wording and codes against the official document.

  • AC9M4N05 Model, compare, and find equivalent fractions with related denominators.

Sample sheet and answers

Six questions at the level's usual difficulty. Open the editor to change, add or regenerate any of them.

Unit and Non-Unit Fractions

Year 4 maths

Qs
6
Marks
18
NameDateScore / 18
1.
Find 15 of 30.
[3]
2.
Find 16 of 24.
[3]
3.
Find 18 of 16.
[3]
4.
Find 110 of 70.
[3]
5.
Find 18 of 32.
[3]
6.
Find 15 of 50.
[3]

Answer key

  1. 615 of 30 means 30 ÷ 5; 30 ÷ 5 = 6
  2. 416 of 24 means 24 ÷ 6; 24 ÷ 6 = 4
  3. 218 of 16 means 16 ÷ 8; 16 ÷ 8 = 2
  4. 7110 of 70 means 70 ÷ 10; 70 ÷ 10 = 7
  5. 418 of 32 means 32 ÷ 8; 32 ÷ 8 = 4
  6. 1015 of 50 means 50 ÷ 5; 50 ÷ 5 = 10