Work out equivalent fractions instantly with clear inputs, formula shown and shareable results.
Two fractions are equivalent when one is obtained from the other by multiplying or dividing both parts by the same non-zero number, which leaves the value unchanged. Dividing by the greatest common divisor gives the unique simplest form.
Equivalent fractions
a/b = (a·k)/(b·k) for any k ≠ 0
Simplest form
divide both parts by gcd(a, b)
The gcd is 3, so 3/12 = 1/4.
Cross-multiply: a/b = c/d exactly when ad = bc.