Fractions for Kids: A Parent’s Guide to Halves, Quarters and Equal Parts

Before folding, draw a separate long rectangle on another sheet. Draw a line near one end so it makes one small section and one much larger section. Ask, “There are two parts. Are they halves?”

They are not halves, because the two areas are unequal. Counting two pieces is not enough. In this rectangle, each half must cover the same amount of paper. Point to the bigger section and the smaller section so the difference is visible.

“This is one of two equal parts of the whole. We call it one half, and write it as 1/2.”

Fold the strip closed again along that crease. Halve its length once more, keeping the new crease across the width, then open it fully. There are now four equal sections along the original length. Keep folding in this same direction rather than making the strip narrower.

Each section is one quarter, or 1/4, of the whole strip. The marked half now contains two quarter-sections. Nothing was added to the paper: the marked amount is still the same. This is why 2/4 = 1/2. These are equivalent fractions—different ways to write the same number.

Ask your child to point to one quarter, two quarters and all four quarters. Four quarters cover the whole, so 4/4 = 1.

Oxford Owl’s parent fractions guidance ↗ also uses folding and number lines. Its school-year labels refer to England; use your own school’s sequence for homework.

• The denominator, 4, tells you that one whole has been split into four equal parts.
• The numerator, 3, tells you how many of those parts you are counting.

In a stacked fraction, the numerator sits above the line and the denominator below it. In 3/4, the slash separates the same two numbers. Read them together as a fraction, rather than as an unrelated 3 and 4.

Try asking, “If I point to only one section, which number changes?” The fraction becomes 1/4. The whole is still divided into four equal parts; you are now counting one of them.

From left to right, the five marks are 0, 1/4, 2/4, 3/4, 1. There are four equal gaps, not five. Each gap is a step of 1/4.

Point to the middle mark: it can be labelled 2/4 or 1/2. Both labels belong at the same point. The third step from 0 reaches 3/4; it lies to the right of 1/2 and to the left of 1.

This gives a fraction a place among numbers. Your child can point to 1/2 even when there is no shaded piece of paper beside it.

Use the same strip. Fold it back into quarters, then halve its length once more, again making the crease across the width. Open it to show eight equal sections along the original length. One of the old quarters now contains two eighths.

One eighth is therefore smaller than one quarter: 1/8 < 1/4. On the number line, 1/8 sits halfway between 0 and 1/4.

Fractions such as 1/2, 1/4 and 1/8 have a numerator of 1 and are called unit fractions. For these positive fractions, a larger denominator means a smaller number. In the strip model, it means dividing the same whole into more equal parts and taking just one. Oxford Owl explains this unit-fraction comparison ↗.

Keep that rule attached to unit fractions. If the top numbers differ too, the bottom numbers alone do not tell you which fraction is larger.

• Half of the 8 cm ribbon is 4 cm.
• A quarter of the 24 cm ribbon is 6 cm.

The quarter-piece is longer in this example because it came from a much longer ribbon. As numbers, 1/2 is still greater than 1/4. But “half a ribbon” does not tell you a length until you know the length of the whole ribbon.

When using strips to compare fractions, begin with equal-length wholes. When comparing pieces taken from different objects, ask, “Half or a quarter of what?”

Answers and explanations

1. 3/4. The denominator 4 counts the equal sections in the whole rectangle; the numerator 3 counts the shaded sections.
2. No. Two unequal sections are not halves of that rectangle. The two halves must have equal areas.
3. 0, 1/4, 2/4, 3/4, 1, in order. The middle mark is 2/4 = 1/2. Count the four gaps between the five marks.
4. 1/4 is greater. Two eighths make one quarter of the same strip, so one eighth is smaller. On the number line, 1/4 lies to the right of 1/8.
5. The quarter of the long ribbon. Half of 8 cm is 4 cm; a quarter of 24 cm is 6 cm. The wholes differ, so the fraction labels alone cannot settle which ribbon piece is longer.

You can also ask the teacher about a particular example. For instance: “We used a strip to show halves and quarters. My child could point to a quarter but labelled it 4/1. Which words or model are you using in class?” This is an example of a question to adapt, not a conclusion about why a child made an error.

Keep the drawing if you want to discuss it directly through your usual school channel. You do not need to complete the card or wait for a particular score before asking for help.