SEAGReady
NumberP7 level21 questions in the full course

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

    Master multiply unit fractions skills

  2. 2

    Multiply Proper Fractions

    Master multiply proper fractions skills

  3. 3

    Multiply and Simplify

    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.

Question 1Confidence builder

Ciara has 1/2 of a chocolate bar. She gives 1/4 of that piece to her brother. What fraction of the whole chocolate bar did her brother get?

  • A1/8
  • B3/4
  • C2/6
  • D1/2
Show answer and explanation

Answer: A. 1/8

To find 1/4 of 1/2, multiply the fractions: 1/4 x 1/2 Numerators: 1 x 1 = 1 Denominators: 4 x 2 = 8 Answer: 1/8 of the chocolate bar

Stuck? Start here: You need to find 1/4 OF 1/2. What operation means 'of' with fractions?

Question 2Confidence builder

Emma has 3/4 of a pizza. She eats 2/3 of what she has. What fraction of the whole pizza did she eat?

  • A6/12
  • B5/7
  • C9/8
  • D1/4
Show answer and explanation

Answer: A. 6/12

To find 2/3 of 3/4, multiply: 2/3 x 3/4 Numerators: 2 x 3 = 6 Denominators: 3 x 4 = 12 Answer: 6/12 of the pizza (which equals 1/2)

Stuck? Start here: She eats 2/3 OF 3/4. The word 'of' means multiply.

Question 3Confidence builder

Roisin paints 2/4 of a wall. Her dad paints 3/6 of what Roisin painted. What fraction of the whole wall did her dad paint? Give your answer in simplest form.

  • A1/4
  • B6/24
  • C5/10
  • D2/3
Show answer and explanation

Answer: A. 1/4

Multiply the fractions: 3/6 x 2/4 Numerators: 3 x 2 = 6 Denominators: 6 x 4 = 24 Result: 6/24 Simplify by dividing both by 6: 6 ÷ 6 = 1 24 ÷ 6 = 4 Answer: 1/4 of the wall

Stuck? Start here: First multiply: 3/6 x 2/4

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.

Roisin 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

Multiply the numerators
1

The top numbers are both 1

Step 1 of 5

Prefer to read? See every step written out

Roisin 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

    Multiply the numerators

    • The top numbers are both 1
    • Multiply them together1 × 1 = 1
  2. 2

    Multiply the denominators

    • The bottom numbers are 2 and 3
    • Multiply them together2 × 3 = 6
  3. 3

    Write the answer

    • Put the new numerator over the new denominator½ × ⅓ = ⅙

Roisin 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!

Watch out: 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.