Using a factor tree to reduce a fraction? Good Idea? I am trying to figure out how one reduces 180/

Brunton39 2022-06-25 Answered
Using a factor tree to reduce a fraction? Good Idea?
I am trying to figure out how one reduces 180/100 to 9/5
My factor tree for 180 is 90 *2 - 30*3 -5*6 - 2*3
Thus my ' numbers are 2*3*5 = 30
Maybe I have totally forgotten how to reduce a fraction like this, however, what method should I use if I can not see it automatically?
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Answers (2)

Trey Ross
Answered 2022-06-26 Author has 30 answers
You should use method such that a number is divisible by 2 if it's last digit is even,it's divisible by 3 and 9 if their sum of digits is divisible by 3 or 9(in that order)
180 = 2 90 = 2 2 45 = 2 2 3 15 = 2 2 3 2 5 100 = 2 50 = 2 2 25 = 2 2 5 2 2 2 3 2 5 2 2 5 2 = 3 2 5 = 9 5
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Fletcher Hays
Answered 2022-06-27 Author has 6 answers
By the Euclidean algorithm ( 180 , 100 ) = ( 80 , 100 ) = ( 80 , 20 ) = ( 0 , 20 ) = 20. . Cancel this gcd.
Euclid's algorithm is very efficient, so generally this method will be quickest.
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