Finding equivalent fractions by multiplying or dividing both numerator and denominator by the same number.
Where your child meets this in real life: Recognising that ½ = 2/4 = 4/8 when measuring or comparing quantities
Each SEAG paper has 28 maths questions. Questions 29 to 50 are multiple choice with five possible answers, and questions 51 to 56 need a short written answer. With 56 questions in 60 minutes across English and maths, that is about a minute per question.
SEAGReady breaks find equivalent fractions into 2 steps, taught in order so each skill builds on the last.
Multiply both numerator and denominator by the same whole number to create equivalent fractions (e.g., 1/2 × 2/2 = 2/4)
Divide both numerator and denominator by a common factor to create equivalent fractions (e.g., 4/8 ÷ 2/2 = 2/4)
Try three free questions from our find equivalent fractions course. They start easy and get harder, so you can see where your child's confidence runs out. If they manage the last one without a hint, this topic is probably secure. If not, the steps above show where to start.
The two bars show equivalent fractions. Which fraction describes the shaded part of the lower bar?
Simplify 12/18 by dividing both numerator and denominator by 6. Which equivalent fraction do you get?
Kyle says that 3/5 and 15/25 are equivalent fractions. Is he correct? Explain by finding what you multiply 3/5 by to check.
This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.
Alice is comparing fractions. Her teacher says that 1/3 can be written with a denominator of 12.
What equivalent fraction has the same value as 1/3 but with 12 as the denominator?
1/3 = ?/12
What do we multiply 3 by to get 12?
Step 1 of 4
Alice is comparing fractions. Her teacher says that 1/3 can be written with a denominator of 12.
What equivalent fraction has the same value as 1/3 but with 12 as the denominator?
1/3 is equivalent to 4/12. Both fractions represent the same amount.
The key insight: Whatever you do to the bottom, you must do to the top to keep the fraction equal!
Common mix-up: 1/3 = 1/12 (only changing the denominator). If you multiply only the bottom by 4, you change the fraction's value. Both parts must be multiplied by the same number.
These are the misconceptions we see most often in find equivalent fractions, including the ones our practice questions are specifically designed to catch.
Struggling with find equivalent fractions? The real gap is often in one of these earlier topics.
Sitting the SEAG test this November? Read our last-month revision plan, Paper 1 vs Paper 2 and test day guide.
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.
Free to start · no card needed