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.