SOLUTION: Hi I was wondering for the problem 3/15+2/5, since the GCF of 3 and 15 is 3, how do you get the 1 and 5 out of reducing 3. Thanks

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: Hi I was wondering for the problem 3/15+2/5, since the GCF of 3 and 15 is 3, how do you get the 1 and 5 out of reducing 3. Thanks      Log On


   

Question 979041: Hi I was wondering for the problem 3/15+2/5, since the GCF of 3 and 15 is 3, how do you get the 1 and 5 out of reducing 3.
Thanks
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Not sure your question's meaning.

Addition is wanted: 3%2F15%2B2%2F5;

You want to raise 2%2F5 to higher terms, meaning its equivalent with a larger denominator. Which denominator?


Look at the two denominators which are present:

system%2815=3%2A5%2C5=5%29, and the factor of 1 is understood.
Lowest common denominator is 3%2A5=15.
Raise the terms of 2%2F5 into the equivalent with denominator 15.
-
3%2F15%2B%282%2F5%29%283%2F3%29
3%2F15%2B6%2F15

9%2F15

%283%2A3%29%2F%283%2A5%29

highlight%283%2F5%29