P5 Maths: Converting Between Fractions And Decimals (Paper 3 (challenge))

P5 Maths: Converting Between Fractions and Decimals (Paper 3 (challenge))

2026-11-15

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 3 (challenge))

Paper 3 (challenge): 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 5/9 to a decimal, correct to 3 decimal places.
FoundationConvert 7/12 to a decimal, correct to 3 decimal places.
FoundationConvert 11/20 to a decimal.
IntermediateConvert 1 2/5 to a decimal.
IntermediateWrite 0.875 as a fraction in lowest terms.
IntermediateConvert 3/16 to a decimal.
ChallengeA wooden strip 2.4 m long is cut into pieces of 3/8 m each. How many whole pieces, and what length is left over?
ChallengeWhat is the difference between 0.65 and 13/20?
ChallengeWork out 0.4 + 1/4.
Error redoConvert 4/5 to a decimal.

03　Answers and one-line notes

#	Answer	One-line note
1	0.556	Five ninths recurs, so round to three decimal places.
2	0.583	Seven twelfths also recurs, so three decimal places with rounding are required.
3	0.55	Multiplying both parts by 5 gives 55/100.
4	1.4	Write the mixed number as 7/5 first, then divide by 5.
5	7/8	0.875 is 875/1000, and dividing both parts by 125 gives the lowest terms.
6	0.1875	Multiplying both parts by 625 gives 1875/10000, so four decimal places are needed.
7	6 pieces, with 0.15 m left over	Write 3/8 as 0.375 first, then see how many 0.375 fit into 2.4.
8	0 (they are equal)	Thirteen twentieths is 0.65, so the two values are equal.
9	0.65	Write 1/4 as 0.25, then add the two decimals.
10	0.8	A common slip is 0.45 from treating the denominator as 100; four divided by five is 0.8.

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.