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P5 Maths: Converting Between Fractions and Decimals (Paper 1 (basics))
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 1 (basics))
Paper 1 (basics): 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 3/10 to a decimal.
- FoundationConvert 47/100 to a decimal.
- FoundationConvert 9/1000 to a decimal.
- IntermediateWrite 0.6 as a fraction in lowest terms.
- IntermediateWrite 0.25 as a fraction in lowest terms.
- IntermediateWrite 0.04 as a fraction in lowest terms.
- ChallengeConvert 1/8 to a decimal.
- ChallengeConvert 5/8 to a decimal.
- ChallengeWrite 0.375 as a fraction in lowest terms.
- Error redoConvert 1/6 to a decimal, correct to 3 decimal places.
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 0.3 | A denominator of 10 gives tenths, so 3/10 is three tenths. |
| 2 | 0.47 | A denominator of 100 gives hundredths, so the answer has two decimal places. |
| 3 | 0.009 | Thousandths need three decimal places, so the zeros must be written in full. |
| 4 | 3/5 | 0.6 is 6/10, and dividing both parts by 2 gives the lowest terms. |
| 5 | 1/4 | 0.25 is 25/100, and dividing both parts by 25 gives the lowest terms. |
| 6 | 1/25 | 0.04 is 4/100, and dividing both parts by 4 gives the lowest terms. |
| 7 | 0.125 | Divide the numerator by the denominator: 1 divided by 8 is 0.125. |
| 8 | 0.625 | Five divided by eight is 0.625, which can also be read as six hundred twenty-five thousandths. |
| 9 | 3/8 | 0.375 is 375/1000, and dividing both parts by 125 gives the lowest terms. |
| 10 | 0.167 | A common slip is writing 0.16; when the division does not terminate, round as asked. |
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 →
Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.