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Primary 5 Fraction and Division study guide: the whole chapter, step by step
About this subtopic
This mixed practice stop brings together 2 topics from Primary 5 Fraction and Division: Division as a fraction, Fraction to decimal. Nothing on the question says which topic it comes from, so choosing the method is part of the skill.
Practice questions with worked solutions
Question 1 is free to try. The other 2 open in the free trial, each with its full working.
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2 more questions, each with its full working.Answers checked, progress kept, wrong ones come back in revision. No card needed.
Start the 7-day free trialQuestion 1 of 3 · Intermediate · free to tryA workshop cuts a coil of copper tubing 24 m long into 15 equal lengths. How…A workshop cuts a coil of copper…
A workshop cuts a coil of copper tubing 24 m long into 15 equal lengths. How long is each length? Give your answer in metres as a decimal.
Show the working and the answer
Working
- length of the coil ÷ number of equal lengths
- = 24 ÷ 15
- 24 ÷ 15 = 24/15
- both 24 and 15 divide by 3, so 24/15 = 8/5
- 8/5 = 1 3/5
- the denominator is 5, and 5 × 2 = 10
- 3/5 = 6/10
- 1 3/5 = 1 + 6/10 = 1.6
Answer: 1.6 m
For parents
How do you approach P5 fraction and division mixed practice?
These questions share a length or a mass equally, write each share as a division and a fraction, and then change the fraction into the form the answer asks for.
What your child learns here
These questions share a length or a mass equally, write each share as a division and a fraction, and then change the fraction into the form the answer asks for. Sometimes that is a decimal, sometimes a mixed number, and once it is a decimal correct to 2 places. The work brings together the two Primary 5 outcomes of the Fraction and Division chapter: a division of whole numbers written as a fraction, and a fraction written as a decimal.
- Sharing 24 m equally into 15 lengths is 24 ÷ 15, which can be written as the fraction 24/15.
- Simplify the fraction before changing it, so 24/15 becomes 8/5 and then 1.6.
- A decimal part such as 0.625 m can be turned back into a fraction to find the whole length first.
- To compare two shares, write both as decimals to one more place than the answer needs.
- Round only the final answer, to the number of decimal places the question asks for.
Does the answer make sense?
Each share must be smaller than the whole being shared and bigger than the whole divided by a larger number. In the coil question, 24 m into 15 lengths must give a little under 2 m, since 30 m into 15 would give exactly 2 m, so 1.6 m fits.
How to practise these questions
All three questions are Intermediate. The coil question shares 24 m of tubing into 15 equal lengths and asks for one length as a decimal. The plank question gives one part as 0.625 m when the plank is cut into 8, and asks for each part when the same plank is cut into 4, as a mixed number. The grout question shares two batches among two numbers of tubs, finds which tub holds more, and gives that amount correct to 2 decimal places. Ask your child to write the division as a fraction before doing anything else, and to read the answer line again before choosing between a decimal and a mixed number. The worked solution shows where the third decimal place decides which tub is larger.
Questions parents ask
Why write the division as a fraction first? The fraction can be simplified before any long division, which keeps the numbers small. It also shows straight away whether the share is more or less than 1.
When does my child round, and to how many places? Only at the end, and only to the places the question names. When two shares are close, work to one more place than asked so the comparison is fair.
Is a mixed number or a decimal the better answer? Whichever the question asks for. 1 1/4 m and 1.25 m are the same length, so the last line of the question decides the form.