SOLUTION: Use the LCD to determine which fraction is greater <b>27. 5/2,7/3 Any help with this equation would be greatly appreciated:)

Algebra ->  Equations -> SOLUTION: Use the LCD to determine which fraction is greater <b>27. 5/2,7/3 Any help with this equation would be greatly appreciated:)      Log On


   

Question 108562: Use the LCD to determine which fraction is greater
27. 5/2,7/3
Any help with this equation would be greatly appreciated:)
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!

5%2F2=%284%2B1%29%2F%282%29=%284%2F2%29%2B%281%2F2%29=2%2B1%2F2
7%2F3=%286%2B1%29%2F%283%29=%286%2F3%29%2B%281%2F3%29=2%2B1%2F3

Let's compare 2%2B1%2F2 and 2%2B1%2F3

2%2B1%2F2 ? 2%2B1%2F3
2-2%2B1%2F2 ? 2-2%2B1%2F3
0%2B1%2F2 ? 0%2B1%2F3
1%2F2 ? 1%2F3

NOte: if two fractions are given to be 1%2Fp and 1%2Fq, and p < q, then 1%2Fp is greater than 1%2Fq

Thus, 1%2F2 is greater than 1%2F3 and therefore, 5%2F2 is greater than 7%2F3
SINCE 2 and 3 are prime to each other then their least common multiple (LCM) is 2%2A3=6

Power up,
HyperBrain!