Equivalent Fractions Practice
20 questions · 60 seconds · fill in 3/4 = ?/12
Free · no login · instant feedback on every answer
Train the idea every fraction operation stands on: equivalence. Each question shows a fraction pair with one number hidden — 3/4 = ?/12 — and asks for the missing numerator or denominator, with instant feedback on every answer.
Equivalent fractions are the gateway skill of 4th grade fraction work: adding unlike denominators, comparing, and simplifying all reduce to "scale the top and bottom by the same number." Students who can spot that 4 became 12 by multiplying by 3 — and apply the same factor to the numerator without hesitation — find the rest of fractions dramatically easier.
Tips That Make It Stick
- Find the scale factor first. Compare the two numbers you can see: in 3/4 = ?/12, the 4 became 12 by multiplying by 3. Apply that same 3 to the numerator.
- Whatever multiplies the bottom multiplies the top. Multiplying both parts by the same number renames the fraction without changing its value — 3/4 and 9/12 are the same amount cut into different-sized pieces.
- Check with cross-multiplication. Two fractions are equivalent exactly when the cross products match: 3 × 12 = 36 and 9 × 4 = 36. A five-second check catches almost every slip.
Frequently Asked Questions
What are equivalent fractions?
Fractions that name the same value with different numbers, like 1/2, 2/4, and 6/12. Multiplying or dividing both the numerator and denominator by the same number produces an equivalent fraction.
What grade learns equivalent fractions?
Equivalence is introduced in 3rd grade with models and becomes a computational skill in 4th grade, where students generate equivalent fractions to compare and to add fractions with unlike denominators.
How do you find a missing numerator in an equivalent fraction?
Work out what the denominator was multiplied by, then multiply the numerator by the same amount. For 3/4 = ?/12: the denominator was multiplied by 3, so the missing numerator is 3 × 3 = 9.
📝 Matching Printable Worksheets
Prefer paper practice? These free PDF worksheets cover the same skill — each includes an answer key: