How to Help Your Child Understand Fractions: A Parent's Guide

Your child looks at 1/4 and 1/8 and chooses one eighth as the larger fraction. Their explanation sounds reasonable: “Eight is bigger than four.” Where do you begin?

Start with something they can see and move. A sheet of paper, a pencil and a handful of counters can turn an unfamiliar symbol into a quantity your child can explain. This guide is for parents supporting primary school maths, particularly around Years 3–5. Choose an activity that matches what your child is learning; there is no need to complete them all at once.

1. Start by asking, “What is the whole?”

Before naming a fraction, agree on what counts as one whole. It might be one paper strip, one metre or a collection of 12 counters. Keep that whole fixed while you explore its parts.

Draw a rectangle and split it into four equal areas. Shade three of them. The shaded part represents 3/4, or three quarters, of the rectangle. The denominator, 4, tells us that four equal parts make the whole. The numerator, 3, counts how many of those parts we are considering.

Now draw a rectangle divided into four noticeably unequal areas. Ask: “Can we call each piece one quarter?” No: four pieces alone are not enough. Each piece must have the same area to be one quarter of that rectangle.

Try saying: “Show me one whole. Now show me one equal part.” Let your child point, fold or draw before asking them to write the fraction.

2. Compare fractions using identical strips

Take two paper strips of the same length and width. Fold the first into four equal parts and the second into eight. Unfold them and shade one part on each strip. Line up their ends.

One quarter reaches further along the strip than one eighth. When the whole stays the same and we take one part, dividing it into more equal parts makes each part smaller. So 1/4 > 1/8.

Keep those conditions in the explanation. “A bigger denominator means a smaller fraction” is not a rule for every comparison: 3/4 is greater than 1/2, even though 4 is the larger denominator. The numerator matters too.

Parent prompt: “Are the wholes the same size? How many parts are shaded?” If the strips differ in size, remake them before comparing the shaded amounts.

3. Discover equivalent fractions by folding

Fold a fresh strip in half, unfold it and shade one half. Fold it back along the crease, then fold it in half again. When you open it, the strip has four equal sections and two are shaded. Refold along the existing creases, fold the folded strip in half once more, then open it fully. There are now eight equal sections, four of them shaded.

The shaded amount has stayed the same throughout. Only the way we count the parts has changed:

These are equivalent fractions: different fraction names for the same number. Ask your child to explain why two quarters cover exactly the same amount as one half before introducing a written shortcut.

4. Put fractions on a number line

Draw a line from 0 to 1. The distance between those numbers represents one whole unit. Divide that distance into four equal spaces. Starting at zero, label the marks 0, 1/4, 2/4, 3/4, 1.

There are four spaces but five marks, including the endpoints. Count the equal spaces to determine the denominator. Ask your child to trace three quarter-length jumps from zero to reach 3/4.

For a further challenge, extend the line to 2 using the same scale. One more quarter-length jump after 1 reaches 5/4 = 1 1/4. Fractions can be greater than one: five quarters contain four quarters making one whole, plus one more quarter.

Parent prompt: “Would this fraction sit before or after 1? How do you know?”

5. Find a fraction of a collection

Place 12 counters on the table and ask your child to find 3/4 of 12. This time, all 12 counters form the whole collection.

1. Share the counters into four equal groups: 12 ÷ 4 = 3 counters per group.
2. One group is one quarter of the collection, so 1/4 of 12 = 3.
3. Choose three groups: 3 × 3 = 9. Therefore, 3/4 of 12 = 9.

If your child answers 3, they have found one quarter. Ask: “How many of those quarter-groups do we need?” Keep the groups visible while they count. For this activity, choose totals that divide into equal groups of whole counters.

Three questions to try together

Let your child draw or use objects. Ask for an explanation as well as an answer, then check the working below.

1. Two ribbons have the same length. Asha colours 1/3 of one ribbon. Ben colours 1/6 of the other. Who colours a greater length of ribbon?
2. A number line from 0 to 1 is split into eight equal spaces. What fraction is at the sixth mark after 0? Can you give it another name?
3. There are 20 seedlings in a tray. Two fifths are tomato seedlings. How many tomato seedlings are there?

Worked answers

1. Asha. On equal-length ribbons, one third is the same length as two sixths. Two sixths is more than one sixth, so 1/3 > 1/6.
2. 6/8, which equals 3/4. Six spaces from zero are six eighths. Pair the eighths to make four equal quarter-length sections across the whole; six eighths cover three of those quarters.
3. 8 tomato seedlings. One fifth of 20 is 20 ÷ 5 = 4. Two fifths is 2 × 4 = 8. Eight is less than half of 20, which fits because two fifths is less than one half.

Keep the next step small

Choose one idea to revisit another day. If equal parts are still confusing, keep folding and drawing. If your child can explain equivalent fractions, try finding the same number on a number line. Their explanation can help you decide which example to explore next.

For more activities, browse the topic quizzes and try a free sample. Our parent guide explains how to get started, and the pricing page has current options if you would like access to more learning resources.

Further reading for parents

The NSW Department of Education's Numeracy skills for primary school page offers further guidance on fractions and everyday maths conversations. The activities, questions and worked explanations in this article were independently written by Pi Leo Academy.