SOLUTION: 18, 8 35x8 245z9 what is the common LCD these prolbelms are fractions there two separte one that why there is a comma in between them. on the bottom for the first problem th

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 18, 8 35x8 245z9 what is the common LCD these prolbelms are fractions there two separte one that why there is a comma in between them. on the bottom for the first problem th      Log On


   

Question 519579: 18, 8
35x8 245z9 what is the common LCD
these prolbelms are fractions there two separte one that why there is a comma in between them. on the bottom for the first problem that is 35x to the 8th power and on the second fraction that is 245z to the 9th power..... I really dont understand this one...
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the LCD of:
18%2F35x%5E8 and 8%2F245z%5E9
First find the LCM (Least Common Multiple) of 35 and 245.
35+=+5%2A7 and...
245+=+5%2A7%5E2
So the LCM is 5%2A7%5E2+=+245 now multiply the top and bottom of the first fraction by 7%2Az%5E9 and the top and bottom of the second fraction by x%5E8 to get:
18%2A7%2Az%5E9%2F%2835x%5E8%2A7%2Az%5E9%29+=+126z%5E9%2F%28245x%5E8z%5E9%29
8%2Ax%5E8%2F%28245z%5E9%2Ax%5E8%29+=+8x%5E8%2F%28245x%5E8z%5E9%29
As you can see, the LCD is:highlight%28245x%5E8z%5E9%29