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

May 1, 2016

$\frac{736}{501} = 1 \frac{235}{501}$

#### 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 $\frac{736}{501} = \frac{501 + 235}{501} = \frac{501}{501} + \frac{235}{501} = 1 \frac{235}{501}$

Nov 6, 2017

$736 = 2 \times 2 \times 2 \times 2 \times 23$
$= {2}^{4} \cdot 23$

$501 = 3 \times 167$

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