SEAGReady
NumberP6 level15 questions in the full course

Simplify FractionsSEAG Practice Questions

Reducing fractions to their simplest form by dividing by the highest common factor.

Where your child meets this in real life: Expressing answers in simplest form for clarity (e.g., 6/8 = ¾)

What your child needs to know

SEAGReady breaks simplify fractions into 2 steps, taught in order so each skill builds on the last.

  1. 1

    Divide by Common Factor

    Simplify fractions by dividing both numerator and denominator by a common factor they share

  2. 2

    Find Highest Common Factor

    supporting lesson — excluded from official-format mocks

    Identify the highest common factor and reduce fractions completely to their simplest (lowest terms) form

Try these SEAG-style questions

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

Question 1Confidence builder

The diagram shows 9 counters, with 6 shaded. What fraction is shaded, in its simplest form?

Nine counters are shown in a three-by-three set, with six counters shaded and three unshaded.
Answer choices for question 1
Question 2Confidence builder

The Venn diagram sorts the factors of 8 and 12. What is the highest common factor?

A two-circle Venn diagram. Factors of 8 only: 8. Factors of 12 only: 3, 6, and 12. Common factors in the overlap: 1, 2, and 4.
Answer choices for question 2
Question 3Confidence builder

Use the highest common factor to simplify 8/10 fully.

Answer choices for question 3

Try the lesson: Divide by Common Factor

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

Ruby baked a tray of 9 brownies. She saved 6 of them for her mum.

Write the fraction of brownies she saved in a simpler form.

⁶⁄₉ = ?

Find a number that divides both
1

Look at 6 and 9. What number goes into both?

Step 1 of 3

Prefer to read? See every step written out

Ruby baked a tray of 9 brownies. She saved 6 of them for her mum.

Write the fraction of brownies she saved in a simpler form.

  1. 1

    Find a number that divides both

    • Look at 6 and 9. What number goes into both?
    • 3 divides into both: 6 ÷ 3 = 2 and 9 ÷ 3 = 36 ÷ 3 = 2, 9 ÷ 3 = 3
  2. 2

    Divide top and bottom by 3

    • Divide numerator and denominator by 36/9 = 2/3

Ruby saved ²⁄₃ of the brownies for her mum.

The key insight: Dividing top and bottom by the same number gives an equivalent fraction!

Common mix-up: ⁶⁄₉ = ³⁄₆ (dividing by different numbers). You must divide both numerator and denominator by the SAME number.

Mistakes to watch for

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

  • Not finding the highest common factor (only partially simplifying)
  • Thinking a fraction is simplified when it isn't
  • Dividing by different numbers for numerator and denominator
15 questions on this topic alone

Master simplify 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.

Start free

Free to start · no card needed