Your child can name a half and a quarter. But when the homework asks them to find equivalent fractions or calculate three-quarters of a number, they become unsure.
Perhaps they add the top and bottom numbers together. Perhaps they think one-eighth must be bigger than one-quarter because eight is bigger than four.
These mistakes give you a useful starting point: your child may need help understanding what fractions represent before practising more calculations.
This guide explains key Year 4 fraction skills, with worked examples, common mistakes and a free practice worksheet you can use at home.
What Fractions Should a Year 4 Child Learn?
In England’s National Curriculum, Year 4 fraction work includes recognising equivalent fractions, finding fractions of quantities, adding and subtracting fractions with the same denominator, and connecting fractions with decimals. Children also develop their understanding of tenths and hundredths. Schools may organise the teaching sequence differently.
If your child attends a British curriculum school in Nigeria or elsewhere, ask the teacher which programme and learning objectives the school follows.
The examples below focus on several important foundations.
1. Understanding the Numerator and Denominator
A fraction can describe equal parts of a whole.
Consider 3/4, read as “three-quarters.”
- The denominator, 4, tells us the whole has been divided into four equal parts.
- The numerator, 3, tells us we are considering three of those parts.
Imagine a sandwich cut into four equal pieces. If a child eats three pieces, they have eaten three-quarters of the sandwich.
The word equal matters. Four pieces of different sizes do not each represent one-quarter of the sandwich.
Try It Together
Draw a rectangle and divide it into four equal sections. Ask your child to shade three.
Then ask:
“How many equal parts make the whole?”
“How many parts did you shade?”
“What fraction is unshaded?”
The unshaded fraction is 1/4.
2. Understanding Equivalent Fractions
Equivalent fractions have the same value, even though they use different numbers.
For example:
1/2 = 2/4 = 4/8
Imagine three identical strips of paper:
- Fold the first into two equal parts and shade one.
- Fold the second into four equal parts and shade two.
- Fold the third into eight equal parts and shade four.
The shaded length is the same each time. The number and size of the parts have changed, but the amount shaded has not.
Worked Example: Find an Equivalent Fraction for 2/3
Split each third into two equal pieces.
The whole now contains six equal pieces, and the shaded area covers four of them.
Therefore:
2/3 = 4/6
We can record the change by multiplying both numbers by 2:
(2 × 2)/(3 × 2) = 4/6
Avoid teaching this only as a rule. Ask your child to explain why the amount stays the same.
3. Comparing Fractions
When fractions have the same denominator, the parts are the same size.
For example:
5/8 > 3/8
Five eighths is greater than three eighths because it contains more eighth-sized parts.
Unit fractions—fractions with 1 as the numerator—need a different explanation.
For the same-sized whole:
1/4 > 1/8
Dividing a whole into eight equal parts creates smaller pieces than dividing it into four equal parts.
A Useful Question
“Would you rather have one-quarter or one-eighth of the same chocolate bar? Why?”
Ask your child to draw the portions before answering.
Always compare the same-sized whole. One-quarter of a large cake cannot be compared fairly with one-eighth of a different-sized cake using the fractions alone.
4. Adding Fractions With the Same Denominator
When the denominators are the same, add the numerators and keep the denominator.
Worked Example
2/7 + 3/7 = 5/7
Think of it as:
Two sevenths + three sevenths = five sevenths.
The pieces are still sevenths, so the denominator stays 7.
Common Mistake
A child may write:
2/7 + 3/7 = 5/14
Ask:
“If we put two seventh-sized pieces beside three more seventh-sized pieces, have the pieces changed size?”
They have not. We now have five sevenths.
This method applies when the denominators are the same. Fractions with different denominators require further work.
5. Subtracting Fractions With the Same Denominator
Subtract the numerators and keep the denominator.
Worked Example
6/9 − 2/9 = 4/9
Start with six ninths. Remove two ninths. Four ninths remain.
A drawing can help your child explain the calculation:
- Divide a rectangle into nine equal sections.
- Shade six sections.
- Cross out two shaded sections.
- Count the shaded sections remaining.
Encourage your child to say the fraction names aloud as they work.
6. Finding a Fraction of a Quantity
To find a fraction of a quantity,