SOLUTION: <pre> 7aē 2aē bē ————— - ————— + ————— 12 3b 6aē</pre>

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Question 111464:
 7aē      2aē      bē
————— -  ————— + —————
 12       3b      6aē

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

 7aē      2aē      bē
————— -  ————— + —————
 12       3b      6aē

The LCD of 12, 3b, and 6aē is 12aēb

Now we ask these questions about the three
denominators:

1.  What does denominator 12 need to be multiplied 
by to get the LCD of 12aēb?

2.  What does denominator 3b need to be multiplied 
by to get the LCD of 12aēb?

3.  What does denominator 6aē need to be multiplied 
by to get the LCD of 12aēb?

Answer to question 1: aēb
Answer to question 2: 4aē
Answer to question 3: 2b

So 

1. We multiply the first fraction by the fraction %28a%5E2b%29%2F%28a%5E2b%29,
which equals 1.

2. We multiply the second fraction by the fraction %284a%5E2%29%2F%284a%5E2%29,
which equals 1.

3. We multiply the third fraction by the fraction %282b%29%2F%282b%29,
which equals 1.
 
 7aē   aēb     2aē   4aē      bē   2b
—————•————— - —————•————— + —————•————
 12    aēb     3b    4aē     6aē   2b

Multiply numerators and denominators of the three 
pairs of fractions to multiply:

 7a4b       8a4        2bģ
——————— - ——————— + ———————
 12aēb     12aēb     12aēb

Now that all three fractions have the same
denominator, we can just combine the
numerators over the common denominator:

 7a4b - 8a4 + 2bģ
——————————————————
       12aēb

Edwin