Fractions of amounts
Objective. Find fractions of quantities and solve reverse problems.
- 1. Learn
- 2. Worked example
- 3. Practice
- 4. Feedback
- 5. Continue
Learn: the key idea
Fractions of amounts is built on a small number of dependable facts. Build equivalence and calculate confidently with fractions. Represent the information first, choose a method deliberately, show each step and use an inverse operation or estimate to check that the result fits the question.
Worked example
Work out 3/4 − 1/8.
- 1Identify the mathematical information and what must be found.
- 2Represent it with a number line, diagram, table or expression where helpful.
- 3Apply the relevant fact carefully and keep each line clear.
- 4Check the result against the conditions in the question: 5/8.
Answer: 5/8
Concept mastery
Based on your past attempts at this lesson — the question types to practise again come first.
Complete a practice set to see your concept breakdown here.
Practice
Practice happens on its own screen, one question at a time. Answers stay hidden until you submit yours, and you can stop and pick up at the same question later.
Start practisingCommon mistake. A common mistake in fractions of amounts is to apply a remembered procedure before reading the signs, units or order carefully. Write the structure first, then calculate and check.
Your progress
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