Simplifying Fractions by FactorizingDate: 05/22/98 at 16:47:15 From: David Duranceau Subject: Product of Primes How do I get the product of primes for 144/360 and simplify it? Date: 05/23/98 at 23:02:59 From: Doctor White Subject: Re: Product of Primes David: Welcome to the exciting world of mathematics. One way to solve your problem is to prime factor the numerator first, then prime factor the denominator, and finally cancel. You can prime factor your numbers by using a factor tree. For example: simplify 188/240. First, factor the numerator (188) into primes: 188 / \ 2 x 94 / \ 2 x 47 Then, factor the denominator (240) into primes: 240 / \ 2 x 120 / \ 2 x 60 / \ 2 x 30 / \ 2 x 15 / \ 3 x 5 We have: 188 2 x 2 x 47 47 47 --- = --------------------- = ------------- = ---- 240 2 x 2 x 2 x 2 x 3 x 5 2 x 2 x 3 x 5 60 Two 2's from the numerator cancel out the two 2's in the denominator. Hope this helps you to solve your problem. Come back to see us again soon. -Doctor White, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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