Equivalent Fractions Practice
Practise finding equivalent fractions — different-looking fractions that are worth exactly the same amount.
Practice now
What equivalent fractions are
Two fractions are equivalent when they describe the same amount, even though the numbers look different — like 1/2 and 2/4. You get one from another by multiplying (or dividing) the top and bottom by the same number, which is just multiplying by a sneaky form of 1.
- Decide what the denominator was multiplied by (e.g., 4 → 8 means ×2).
- Multiply the numerator by that same number.
- To go the other way (simplify), divide top and bottom by a common factor instead.
Worked examples
Tips & common mistakes
Whatever you do to the bottom, do to the top — that one rule is the whole idea. Type just the missing number. A picture helps too: 1/2 of a pizza is the same as 2/4, even though it’s cut differently.
- Changing only the top or only the bottom — both must be multiplied (or divided) by the same number.
- Adding to the top and bottom instead of multiplying (3/4 is not 4/5).
- Forgetting that dividing is how you simplify back down.
Frequently asked questions
What are equivalent fractions?
Fractions that represent the same value, like 1/2, 2/4 and 3/6. You make them by multiplying or dividing top and bottom by the same number.
How do I find an equivalent fraction?
Multiply (or divide) both the numerator and denominator by the same number. 2/3 = 4/6 because both were doubled.
Why can’t I just add the same number to both?
Because that changes the value. 1/2 is not 2/3. Only multiplying or dividing both parts keeps a fraction equivalent.
What grade is this?
Equivalent fractions are introduced in grade 3 and used heavily in grade 4 and beyond.
How does this help later?
It is the basis of simplifying fractions and of adding fractions with unlike denominators — both rely on rewriting fractions in equivalent forms.