Skill: fraction-equivalence

Equivalent Fractions Practice

An endless supply of never-repeating equivalent-fraction problems with instant feedback. Build fractions up, simplify them down, find missing numbers, and spot equivalents — one problem at a time.

1 Practice

Type your answer and press Check answer (or Enter). A wrong answer earns a hint first; a second miss walks you through the full solution.

Score 0 · Streak 0 · Problem 0

Score counts first-try correct answers. Streak counts consecutive correct answers.

Build an equivalent fraction

How to enter answers

Fraction: type a/b, like 12/20 or 3/4. Any equivalent form counts: 6/10 is accepted for 3/5.
Missing number: type the whole number, like 56.
Yes / no: type yes or no.

2 What you’ll practice

Every problem is generated fresh from 10 templates — a problem never repeats until its whole pool is used up.

Build up

Rename a fraction with a bigger denominator or numerator by multiplying top and bottom by the same number.

3/5 with denominator 20 → 12/20

Simplify

Divide top and bottom by their greatest common factor to reach lowest terms.

6/8 → 3/4

Missing numbers & checks

Fill in 4/7 = 28/?, find the multiplier, and test equivalence with cross-products.

Are 2/3 and 8/12 equivalent? → yes

3 Watch out for these

The three mistakes students make most often with equivalent fractions.

1. Adding instead of multiplying

Wrong: 1/2 → (1+1)/(2+1) = 2/3. Right: 1/2 = (1×2)/(2×2) = 2/4. Adding changes the value.

2. Changing only the top

Wrong: 3/5 → 6/5. Right: 3/5 = 6/10. Whatever you do to the top, do to the bottom.

3. Stopping before lowest terms

Wrong: simplifying 12/16 to 6/8 and stopping. Right: keep going until the GCF is 1: 12/16 = 3/4.

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