I will use to stand for "numerator" and to
stand for "denominator", so for instance, stands for
the first numerator, stands for the first denominator,
stands for the second numerator, etc.
Suppose your problem is of this type:
Get LCD of all denominators DEN1, DEN2, DEN3, and DEN4.
Form the fraction and put it in parentheses
Multiply all four fractions by
Now every one of those denominators will cancel
entirely into the LCD, and the end result will be
much simpler, like this:
The smae principle works well regardless of how many fractions
you have on top or bottom.
--------------------------------------
1+2 over x divided by 7 over x
Write the as so that
everything will be a fraction, and put parentheses around
every fraction:
Get LCD of all denominators 1, x, and x.
Then LCD = x
Form the fraction and put it in parentheses
Multiply all three fractions by
Now every one of those denominators will cancel
entirely into the LCD, and the end result will be
much simpler, like this:
and that is simply:
-------------------------
a over b divided by a- 5a over b
Write the as so everything will
be a fraction and put parentheses around everything:
Get LCD of all denominators , , and .
Form the fraction and put it in parentheses
Multiply all four fractions by
Now every denominator will cancel
entirely into the LCD, and the end result will be
much simpler, like this:
which is simply
Now we can factor out on the bottom:
Now the 's will cancel, leaving a on top:
Answer:
If I have time I'll come back and do the others.
But they're all done the same way.
Edwin