Gives Year 7 students one clear rule for each of the six conversions between fractions, decimals and percentages, a table of the benchmark values worth memorising, and worked examples including recurring decimals and percentages over 100. Finishes with an ordering question that uses all three forms.
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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, Decimals and Percentages: Converting Between Them
Year 7 students (typically ages 12–13) working on percentages. 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 7 Fractions, Decimals and Percentages Worksheet — Level 2.
Year 7 · Mathematics · Percentages
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Per cent means out of 100. A fraction, a decimal and a percentage are just three ways of writing the same amount: = 0.25 = 25%. Converting between them is a skill you will use constantly, from test scores to discounts to interest rates. Learn the benchmark values below and the rest can be worked out from them.
| Fraction | Decimal | Percentage |
|---|---|---|
| 0.5 | 50% | |
| 0.25 | 25% | |
| 0.75 | 75% | |
| 0.2 | 20% | |
| 0.1 | 10% | |
| 0.125 | 12.5% | |
| 0.333… (recurring) | 33% | |
| 0.666… (recurring) | 66% |
The six conversions. Decimal to percentage: multiply by 100 (move the decimal point two places right). Percentage to decimal: divide by 100 (two places left). Fraction to decimal: divide the numerator by the denominator. Fraction to percentage: convert to a decimal first, then × 100 (or make the denominator 100 if that is easy). Percentage to fraction: write it over 100 and simplify. Decimal to fraction: use place value (0.35 is 35 hundredths = = ).
Convert to a decimal and a percentage
Convert 64% to a fraction in simplest form and to a decimal
Convert 0.06 and 1.5 to percentages
Order , 0.65 and 58% from smallest to largest
Answers: 1. 45% 2. 0.08 3. 35% ( = ) 4. 5. 6. (it is 0.666…, which is more than 0.6 and 0.65)
Preview — the PDF contains the full resource.
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Study Guide · Year 6 · Percentages · Level 2 · Standard
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