How can you simplify the following fraction using prime factorization?: #736/501#

2 Answers
May 1, 2016

#736/501=1 235/501#

Explanation:

The fact is that the numerator #736# and denominator #501# both are coprime or relatively prime to each other. This means there is no number other than #1#, that can divide the two. Hence simplifying by dividing both by some prime number, is just not possible.

However, it is improper fraction as #736>501# and hence only way one can simplify it is to convert this into a mixed fraction.

As such #736/501=(501+235)/501=501/501+235/501=1 235/501#

Nov 6, 2017

#736=2xx2xx2xx2xx23#
#=2^4*23#

#501=3xx167#

The numerator and denominator have no common factors, so the fraction can't be simplified.