How can you simplify the following fraction using prime factorization?: #832/644#

1 Answer
Shwetank Mauria
May 2, 2016

#832/644=208/161#

Explanation:

Prime factors of #832# are #832=2xx2xx2xx2xx2xx2xx13# and

prime factors of #644# are #644=2xx2xx161#

Hence #832/644=(2xx2xx2xx2xx2xx2xx13)/(2xx2xx161)#

= #(cancel(2xx2)xx2xx2xx2xx2xx13)/(cancel(2xx2)xx161)#

= #(2xx2xx2xx2xx13)/161#

= #208/161#

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