use the prime factorization method to reduce the fraction below. 420/2520

Question

use the prime factorization method to reduce the fraction below.

420/2520

Answer 1

Hello Alyssa

420 = 2*210 = 2*2*105 =2*2*3*35 =( 2^2)*3*5*7

2520 = 2*1260 = 2*2*630 = 2*2*2*315 = (2^3)*3*105 = (2^3)*3*3*35 = (2^3)*3*3*5*7

we have ( 2^2)*3*5*7/(2^3)*3*3*5*7 = 1/2*3 = 1/6

hope that helps