SOLUTION: Simplify the complex fractions. (2+ 1/4a)/(2/a-a) = ? (n/12- 2/9)/(n/6) = ? (a-9/1)/(1-3/a)= ? (2/x+3/x)/(4/x) = ? (x/2+x/3)/(x/4) = ? (2+1/a)/(2/a-a) = ? (

Question 203372: Simplify the complex fractions.

(2+ 1/4a)/(2/a-a) = ?
(n/12- 2/9)/(n/6) = ?
(a-9/1)/(1-3/a)= ?
(2/x+3/x)/(4/x) = ?
(x/2+x/3)/(x/4) = ?
(2+1/a)/(2/a-a) = ?
(a-9/a)/(1-3/a) = ?
Sorry I know That's a lot.
Thanks

Answer by jsmallt9(3759) (Show Source): You can put this solution on YOUR website!
The easiest way to simplify complex fractions is to:
Multiply the numerator and denominator of the "big" fraction by the Lowest Common Denominator of all the "little" fractions which are in the "big" fraction.

The "little" fractions are and . The LCD of these two is: 4a. So we will multiply the numerator and denominator of the "big" fraction by 4a:

Using the Distributive Property to multiply the two numerators and the two denominators:

Simplify:

Problem:
The LCD of the "little" fractions is 36. So we will multiply the numerator and denominator of the "big" fraction by 36:

Problem:
The LCD of the "little" fractions is: 12. So we will multiply the numerator and denominator of the "big" fraction by 12:

Now that you've seen several examples, I'll leave the rest for you.