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)
SEAGReady breaks simplify fractions into 2 steps, taught in order so each skill builds on the last.
Simplify fractions by dividing both numerator and denominator by a common factor they share
Identify the highest common factor and reduce fractions completely to their simplest (lowest terms) form
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.
Sean baked a tray of 9 scones. He saved 6 of them for his granny. Write the fraction of scones he saved in a simpler form.
Answer: A. 2/3
To simplify 6/9, find a number that divides into both 6 and 9. 3 goes into both: 6 divided by 3 = 2, and 9 divided by 3 = 3. So 6/9 = 2/3. Sean saved 2/3 of the scones.
Stuck? Start here: What number divides into both 6 and 9?
Caitlin scored 8 goals out of 12 attempts at netball practice. Write this fraction in its simplest form using the highest common factor.
Answer: A. 2/3
To simplify 8/12 completely, find the highest common factor (HCF). Factors of 8: 1, 2, 4, 8 Factors of 12: 1, 2, 3, 4, 6, 12 Common factors: 1, 2, 4. The HCF is 4. Divide both by 4: 8 divided by 4 = 2, and 12 divided by 4 = 3. So 8/12 = 2/3. Caitlin scored 2/3 of her attempts.
Stuck? Start here: List the factors of 8 and 12. What is the highest number that appears in both lists?
Aoife has 4 marbles. 2 of them are blue. What fraction of her marbles are blue? Write your answer in its simplest form.
Answer: A. 1/2
The fraction is 2/4 (2 blue out of 4 total). To simplify, find a number that divides into both 2 and 4. 2 goes into both: 2 divided by 2 = 1, and 4 divided by 2 = 2. So 2/4 = 1/2. Half of Aoife's marbles are blue.
Stuck? Start here: First write the fraction: blue marbles over total marbles.
This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.
Ciara 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 = ?
Step 1 of 3
Ciara 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.
Ciara saved ²⁄₃ of the brownies for her mum.
The key insight: Dividing top and bottom by the same number gives an equivalent fraction!
Watch out: ⁶⁄₉ = ³⁄₆ (dividing by different numbers). You must divide both numerator and denominator by the SAME number.
These are the misconceptions we see most often in simplify fractions, including the ones our practice questions are specifically designed to catch.
Struggling with simplify fractions? The real gap is often in one of these earlier topics.
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.