SOLUTION: I have the find the LCD and then find equivilant fractions to the fractions. (4a+1)/(7a^(3)),(5a-1)/(49a)

Algebra ->  Expressions -> SOLUTION: I have the find the LCD and then find equivilant fractions to the fractions. (4a+1)/(7a^(3)),(5a-1)/(49a)      Log On


   

Question 687088: I have the find the LCD and then find equivilant fractions to the fractions.
(4a+1)/(7a^(3)),(5a-1)/(49a)
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Find the LCD and then find equivalent fractions to the fractions.
%284a%2B1%29%2F%287a%5E%283%29%29,%285a-1%29%2F%2849a%29
First find the factors of the denominators:
7a%5E3=7%2Aa%2Aa%2Aa
49a=7%2A7a
They have a 7 and an a in common so don't count them twice.
LCD=7%2A7%2Aa%2Aa%2Aa=49a%5E3
Notice that we took the highest power of the things they had in common.
What ever you have to multiply the denominators by to get the LCD, you have to multiply by the numerators as well.
7%284a%2B1%29%2F%287%2A%287a%5E3%29%29, a%5E2%285a-1%29%2F%28a%5E2%2A%2849a%29%29
%2828a%2B7%29%2F%2849a%5E3%29,%285a%5E3-a%5E2%29%2F%2849a%5E3%29
Happy Calculating!!!