Can someone explain how to simplify fractions with a good description? I don't understand?

My book is talking about prime factors and I don't understand what that means exactly?  Can someone give me a simple answer.
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5 Answers

When simplifying fractions we need to reduce both the numerator (the number on the top of the fraction) and the denominator (the number on the bottom of the fraction) so that both numbers have no common factors (numbers that can be evenly divided into both)

Let's take this the example

30/100

We need to find the greatest common factor of 30 and 50 and then divide both numbers by the greatest common factor.  Let's list all of the numbers that go into 30 and 100

2, 5, 10

10 is the greatest common factor.  Divide both 30 and 100 by 10 to get the simplified fraction

3/5

This is the simplified form.
by Level 4 User (5.3k points)
how did 50 come into the problem...i understood the numerator part but not the denominator because 10 divided by 30 is 3 but where did the 50 come from?
what is 9/30 in simplest form
by
what do u do if  you  when u divide in your simplist form and get your answer qndu haft to simplifie that to so what do u do with that answer
by
5r-9=14r+15
by
1 9/30
by

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