Year 5 Maths: Fractions, Decimals and Percentages Explained for Parents
Discover what UK Year 5 pupils learn about fractions, decimals and percentages, with simple examples and ways to practise at home.
By Math School Editorial Team
Fractions, decimals and percentages may look like separate school topics, but they all describe parts of a whole. In Year 5 of the English national curriculum, pupils develop these connections and use them in calculations and everyday problems.
What should a Year 5 pupil learn?
The curriculum includes equivalent fractions, comparing fractions with related denominators, converting mixed numbers and improper fractions, adding and subtracting fractions with the same or related denominators, and multiplying fractions by whole numbers using representations.
Pupils also work with decimals up to three places, connect decimals to fractions, and learn that “percent” means parts per hundred. They practise common equivalents such as 1/2 = 0.5 = 50%.
Example 1: Equivalent fractions
Imagine a chocolate bar split into four equal pieces. Eating two pieces means eating 2/4 of the bar. The same quantity can be represented as 1/2.
To find equivalent fractions, multiply or divide the numerator and denominator by the same nonzero number. For example:
2/4 = 1/2 = 50/100
The quantity remains unchanged even though the numbers look different. Equal-part diagrams are useful for showing why this works.
Example 2: Connecting decimals and percentages
A decimal such as 0.25 represents twenty-five hundredths. Therefore:
0.25 = 25/100 = 1/4 = 25%
Children should learn to explain each form, not just memorise a conversion rule.
Example 3: Adding fractions
Consider 1/2 + 1/4. The denominators differ, so write one half as two quarters:
1/2 + 1/4 = 2/4 + 1/4 = 3/4.
A frequent mistake is adding both numerators and denominators to get 2/6. This is incorrect because the pieces being combined must be the same size.
How parents can help
Use measuring cups, shopping discounts, recipes, simple number lines and shaded grids. Ask children to explain why two forms are equivalent. A useful five-minute exercise is to give a fraction, such as 3/4, and ask the child to draw it, write a decimal and write a percentage.
Pay attention to misconceptions. When a child thinks 1/8 is larger than 1/4 because eight is larger than four, use identical-size diagrams to show that more equal pieces means smaller individual pieces.
When extra support may help
A pupil who struggles to recognise equal parts, simplify fractions or place decimals on a number line may benefit from revisiting earlier concepts before practising harder procedures. Short, focused diagnostic questions reveal the specific gap much better than simply repeating a whole worksheet.
Next step: Explore a personalised primary mathematics assessment and learning plan.
Authoritative source: National curriculum in England — mathematics programmes of study.
