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Fraction strips, explained for parents

Fraction strips are bars of the same length cut into equal parts: halves, thirds, fourths and so on. Lining them up shows which fractions are equal (1/2 = 2/4 = 3/6 = 4/8), which is bigger, and why you need a common denominator to add.

Checked October 29, 2026 against the sources listed at the end.

What fraction strips are

whole1halves1/21/2fourths1/41/41/41/4eighths1/81/81/81/81/81/81/81/8thirds1/31/31/3sixths1/61/61/61/61/61/6
Every strip is the same length. The shaded parts of the halves, fourths and eighths strips line up exactly: 1/2 = 2/4 = 3/6 = 4/8.

Each strip is one whole, cut into equal parts. The more parts, the smaller each part: an eighth is smaller than a fourth even though 8 is bigger than 4. That's the first big idea strips make obvious.

Equal fractions

Put the strips under each other and look for parts that end in the same place. One half lines up with 2/4 and 3/6 and 4/8. Two thirds lines up with 4/6. The fractions look different but cover exactly the same length, so they are equal.

The rule children learn later, multiply the top and bottom by the same number, is a shortcut for what the strips show: cutting every part into the same number of smaller pieces.

Comparing fractions

Which is bigger, 3/4 or 2/3? Line up three fourths and two thirds and the fourths reach further. With twelfths you can say exactly how much: 3/4 is 9/12 and 2/3 is 8/12.

Adding fractions with different denominators

You can't add halves and fourths as they are, because the pieces are different sizes. Swap the half for the fourths that match it: 1/2 + 1/4 = 2/4 + 1/4 = 3/4.

A harder one: 2/3 + 1/4. The smallest strip both fit is twelfths, so 2/3 = 8/12 and 1/4 = 3/12, and the sum is 11/12.

Why schools teach fractions this way

The Common Core asks third graders to understand two fractions as equal when they are the same size, using visual models, and fourth graders to explain equal fractions with visual fraction models. Fifth graders add and subtract fractions with unlike denominators by swapping in equal fractions. Strips are one of the clearest visual models, so many classes use them, along with circles and number lines.

Helping with homework

  • Cut paper strips of the same length and fold them into halves, fourths and eighths. Folding makes equal parts real.
  • Use food: a chocolate bar, a pizza or a sandwich cut different ways shows that more pieces means smaller pieces.
  • Ask "is that more or less than a half?" about every fraction. It builds a sense of size.
  • Before adding, ask "are the pieces the same size?" If not, find strips that match.
  • If your child's teacher uses different words or a different layout, use theirs. The point is that your child hears one way of explaining it, not two competing ones; a quick note to the teacher asking "how do you want this shown?" is always welcome.

Try it

Line up the on-screen fraction bars, then print equivalent fractions, simplifying fractions and adding fractions with unlike denominators worksheets, each with an answer key.

Questions parents ask

What's the difference between fraction strips and fraction bars?

Nothing important; they're two names for the same model, and some classes call the full set a fraction wall.

Why does my child draw pictures instead of just using the rule?

The picture is what makes the rule make sense. Once a child can see why 1/2 = 2/4, the rule of multiplying top and bottom by the same number is easy to trust and remember.

Practice at your child's level

Peabody, our site for children, has free stories and learning games written at each reading level and math grade, with no sign-up. Start where your child is comfortable, not where the calendar says.

Where this comes from

Written for parents, to use alongside your child's teacher, not instead of them. General information only, not professional, medical or legal advice. Checked on October 29, 2026. Something wrong or out of date? Write to hello@peabody.kids.