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

Answer 1

Benjamin Altschul

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

#501=3xx167#

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

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Answer 2

Gabriel Agustin

#736/501=1 235/501#

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#

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Answer 3

Julian Avila

To simplify the fraction 736/501 using prime factorization, you would first find the prime factorization of both 736 and 501.

736 = 2^5 * 23 501 = 3 * 167

Then, you can divide both the numerator and denominator by the greatest common divisor, which is 1 in this case. So, the simplified fraction is 736/501.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.