Introduces what the top and bottom numbers of a fraction mean, shows fractions on a number line, and explains why one half and two quarters are the same amount. Includes worked examples and a self-check so parents can see what their child should be able to do.
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Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.
Completed: Fractions: Introduction and Equivalent Fractions
Year 4 students (typically ages 9–10) working on fractions. It is pitched at level 1 · easier.
This is a study guide, so there is no separate answer sheet; the 'Check yourself' questions include answers.
About 15 minutes. Short, regular sessions work best: two or three a week beats one long one.
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Try Year 4 Equivalent Fractions Worksheet — Level 1, then check understanding with the Year 4 Fractions Topic Test.
Year 4 · Mathematics · Fractions
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A fraction describes part of a whole. The bottom number, the denominator, tells you how many equal parts the whole has been cut into. The top number, the numerator, tells you how many of those parts you are talking about. In , the whole is cut into 4 equal parts and we have 3 of them.
Reading a fraction
Fractions on a number line. Fractions are numbers, so they sit on a number line between 0 and 1. If you split the space from 0 to 1 into 4 equal jumps, the marks are , , and then , which is the same as 1. Counting in quarters sounds like: one quarter, two quarters, three quarters, one whole.
Equivalent fractions are different names for the same amount. Half a sandwich is the same as two quarters of the sandwich: = = . You make an equivalent fraction by multiplying the numerator and the denominator by the same number. Multiplying both by 2 cuts every piece in half, so you have twice as many pieces that are each half the size — the amount does not change.
| Halves | Quarters | Eighths |
|---|---|---|
| = 1 | = 1 | = 1 |
Find the missing number: =
When the denominators are the same, the pieces are the same size, so you just count them: + = . If the answer is a whole, say so: + = = 1. A number like 1 (one and a half) is called a mixed number.
Answers: 1. 2. 4 3. 9 4. Yes (divide the top and bottom of by 2) 5. 6. 8
Preview — the PDF contains the full resource.
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