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P5 Maths: Converting Between Fractions and Decimals (Paper 2 (intermediate))
Tutor Prep Guide · Fractions to decimals, decimals to fractions in lowest terms, scaling and reducing, rounding recurring decimals, and comparing fractions with decimals
P5 Maths: Converting Between Fractions and Decimals (Paper 2 (intermediate))
Paper 2 (intermediate): ten questions on converting between fractions and decimals, covering scaling, reducing and comparing, with answers and one-line notes.
Direct answers Level: P5 maths; format: fractions to decimals, decimals to fractions in lowest terms, recurring decimals rounded, and comparing fractions with decimals.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 20 |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: P5 Maths: Converting Between Fractions and Decimals |
| Level | P5 |
02 Questions (10 items)
- FoundationConvert 9/20 to a decimal.
- FoundationConvert 7/25 to a decimal.
- FoundationConvert 3/40 to a decimal.
- IntermediateWrite 0.85 as a fraction in lowest terms.
- IntermediateWrite 0.16 as a fraction in lowest terms.
- IntermediateWrite 2.05 as an improper fraction in lowest terms.
- ChallengeWhich is larger, 0.7 or 5/8?
- ChallengeArrange 7/12, 0.6 and 5/8 in ascending order.
- ChallengeConvert 3 1/4 to a decimal.
- Error redoWrite 0.03 as a fraction in lowest terms.
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 0.45 | Multiplying both parts by 5 gives 45/100, which is read at the hundredths place. |
| 2 | 0.28 | Multiplying both parts by 4 gives 28/100, which is written directly as a decimal. |
| 3 | 0.075 | Multiplying both parts by 25 gives 75/1000, so three decimal places are needed. |
| 4 | 17/20 | 0.85 is 85/100, and dividing both parts by 5 gives the lowest terms. |
| 5 | 4/25 | 0.16 is 16/100, and dividing both parts by 4 gives the lowest terms. |
| 6 | 41/20 | 2.05 is 205/100, and dividing both parts by 5 gives the lowest terms. |
| 7 | 0.7 is larger (5/8 = 0.625). | Write the fraction as a decimal before comparing it with a decimal. |
| 8 | 7/12 < 0.6 < 5/8 (7/12 = 0.583). | Convert all three to decimals so the order does not rely on impression. |
| 9 | 3.25 | Turn the mixed number into an improper fraction, then divide the numerator by the denominator. |
| 10 | 3/100 | A common slip is 3/10; the digit 3 sits at the hundredths place, so the denominator is 100. |
04 What to do after marking
- After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
- Repeat the same item two days later; move to the next paper only when both attempts are correct.
- Parents only need the answer and note columns; there is no need to explain every item.
Check the answers; for a wrong item, confirm the scaling of the denominator first, then work it again.Tutor Registration →
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