SOLUTION: Use the LCD to determine which fraction is greater The enrollment for a college last year wass 2250 students,including 180 engeering majors.The enrollment for the college this y

Algebra ->  Equations -> SOLUTION: Use the LCD to determine which fraction is greater The enrollment for a college last year wass 2250 students,including 180 engeering majors.The enrollment for the college this y      Log On


   

Question 108565: Use the LCD to determine which fraction is greater
The enrollment for a college last year wass 2250 students,including 180 engeering majors.The enrollment for the college this year is 2330,including 233 engineering majors. In which ear was the fraction of engineering majors greater?
Any help with this equation would be greatly appreciated:)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28180%2F2250%29%3C%28233%2F2330%29 or %28180%2F2250%29%3E%28233%2F2330%29 or %28180%2F2250%29=%28233%2F2330%29
You can do it two ways.
First simplify, then do LCD.
18%2F225 and 1%2F10
10=2%2A5
225=3%2A3%2A5%2A5=3%5E2%2A5%5E2
LCD+=+2%5E1%2A3%5E2%2A5%5E2
LCD+=+2%5E1%2A3%5E2%2A5%5E2
LCD+=+450
18%2F225=36%2F450 and 1%2F10=45%2F450
You find that this year had the higher percentage or
%28180%2F2250%29%3C%28233%2F2330%29
You can also do it without simplification.
2250=2%2A3%2A3%2A5%2A5%2A5=2%2A3%5E2%2A5%5E3
2330=2%2A5%2A233 233 is a prime number.
LCD+=+2%5E1%2A3%5E2%2A5%5E3%2A233
LCD+=+524250
18%2F225=41940%2F524250 and 233%2F2330=52425%2F524250
Again, you find that this year had the higher percentage or
%2841940%2F524250%29%3C%2852425%2F524250%29