Covers the four fraction skills Year 5 students need most: making equivalent fractions, simplifying to lowest terms, comparing fractions with different denominators, and adding or subtracting fractions with the same denominator. Each skill has a worked example and a common-mistake warning.
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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: Equivalent, Simplifying, Comparing and Adding
Year 5 students (typically ages 10–11) working on fractions. It is pitched at level 2 · standard.
This is a study guide, so there is no separate answer sheet; the 'Check yourself' questions include answers.
About 20 minutes. Short, regular sessions work best: two or three a week beats one long one.
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Try Year 5 Equivalent Fractions Worksheet — Level 2, then check understanding with the Year 5 Fractions Topic Test.
Year 5 · Mathematics · Fractions
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Fractions can look different but be worth the same amount, and the same fraction can be written in many ways. The key idea behind everything in this guide is simple: whatever you do to the numerator, do to the denominator (as long as you multiply or divide). This lets you rename a fraction so that you can simplify it, compare it with another fraction, or add it to one.
Equivalent fractions. Multiply or divide the top and bottom by the same number and the value does not change: = = . All three are the same point on the number line.
Simplifying. A fraction is in its simplest form when the only number that divides into both the numerator and the denominator is 1. To simplify, divide both by their highest common factor (HCF). If you cannot spot the HCF, divide by any common factor and repeat.
Simplify and
Comparing fractions. If the denominators are the same, the fraction with the bigger numerator is bigger: > . If the denominators are different, rename both fractions with a common denominator first.
Which is larger: or ?
Adding and subtracting with the same denominator. When the denominators match, the pieces are the same size. Add or subtract the numerators only and keep the denominator. Simplify the answer if you can.
− , then +
Answers: 1. 2. 12 3. (it equals ) 4. 5. = 6.
Preview — the PDF contains the full resource.
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