What is 84/189 simplified?

89/189 simplified is 4/9

84 / 189 = ?

1. Divide fraction's both numerator and denominator by their greatest common factor, gcf (also called gcd - divisor).

a / b = (a : gcf (a; b)) / (b : gcf (a; b));

Integer numbers prime factorization:

84 = 22 * 3 * 7;

189 = 33 * 7;

2. gcf, gcd: Take all the common prime factors, by the lowest powers.

gcf, gcd (84; 189) = 3 * 7 = 21; 84 / 189 =

(22 * 3 * 7) / (33 * 7) =

((22 * 3 * 7) : (3 * 7)) / ((33 * 7) : (3 * 7)) =

(84 : 21) / (189 : 21) = 4/9