SEAGReady
NumberP7 level21 questions in the full course
Supporting practice: this topic helps build angle understanding, but it is not selected for official-format mocks.Multiplication of one fraction by another is not named in the fractions outcome or sampled in current official papers, so it must not enter official-format selection.

Multiply FractionsSEAG Practice Questions

Multiplying fractions by multiplying numerators together and denominators together, then simplifying.

Where your child meets this in real life: Finding a fraction of a fraction (⅔ of ¾ of a recipe)

What your child needs to know

SEAGReady breaks multiply fractions into 3 steps, taught in order so each skill builds on the last.

  1. 1

    Multiply Unit Fractions

    excluded lesson — excluded from official-format mocks

    Master multiply unit fractions skills

  2. 2

    Multiply Proper Fractions

    excluded lesson — excluded from official-format mocks

    Master multiply proper fractions skills

  3. 3

    Multiply and Simplify

    excluded lesson — excluded from official-format mocks

    Master multiply and simplify skills

Try these SEAG-style questions

Three free sample questions from our multiply fractions course. Every question comes with a full explanation, and hints that guide without giving the answer away.

Try the lesson: Multiply Unit Fractions

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

Rosie is making cupcakes. She uses ½ of a recipe, but only makes ⅓ of that smaller batch.

What fraction of the full recipe does she make?

½ × ⅓

Show the starting fraction
1

Shade the 1/2 of the full recipe that Rosie plans to use

Step 1 of 3

Prefer to read? See every step written out

Rosie is making cupcakes. She uses ½ of a recipe, but only makes ⅓ of that smaller batch.

What fraction of the full recipe does she make?

  1. 1

    Show the starting fraction

    • Shade the 1/2 of the full recipe that Rosie plans to use
  2. 2

    Take one third of that half

    • Split the model into three equal columns and select one; only its overlap with the shaded half counts
  3. 3

    Read the overlap

    • One of the six equal parts is in the overlap½ × ⅓ = ⅙

Rosie makes ⅙ of the full recipe.

The key insight: When you multiply fractions, the pieces get smaller - ⅓ of ½ is smaller than either fraction!

Common mix-up: ½ × ⅓ = ⅔ (adding numerators and denominators). We multiply, not add. Multiplying fractions means finding a fraction OF a fraction.

Mistakes to watch for

These are the misconceptions we see most often in multiply fractions, including the ones our practice questions are specifically designed to catch.

  • Cross-multiplying like solving equations
  • Adding instead of multiplying
  • Forgetting to simplify the answer

Build these skills first

Struggling with multiply fractions? The real gap is often in one of these earlier topics.

More number practice

21 questions on this topic alone

Master multiply fractions and everything it unlocks

SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.

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