SOLUTION: Please simplify this problem and show all the steps so I can understand how it was simplified. ((3+2h)/(1+h)-3)/(2+h-2)

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Question 1194839: Please simplify this problem and show all the steps so I can understand how it was simplified.
((3+2h)/(1+h)-3)/(2+h-2)

Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
What you have could appear correctly on your page than here. You seem to show %28%283%2B2h%29%2F%281%2Bh%29-3%29%2F%282%2Bh-2%29.

If that is what you have, first thing to find is one of your denominators should be immediately simplified: 2%2Bh-2=h. You would then have this:
%28%283%2B2h%29%2F%281%2Bh%29-3%29%2Fh. The longest fraction bar separates the main numerator and the main denominator.

Multiply the rational expression by %28h%281%2Bh%29%29%2F%28h%281%2Bh%29%29; and you, continue...

Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
.
Please simplify this problem and show all the steps so I can understand how it was simplified.
((3+2h)/(1+h)-3)/(2+h-2)
~~~~~~~~~~~~~~~~

Hey, here you have a three-store fraction, which is, OBVIOUSLY, may scare you and is difficult to operate with.


In this case, take the upper two-store fraction and simplify it separately as much as you can

    %283%2B2h%29%2F%281%2Bh%29-3 = %28%283%2B2h%29-3%2A%281%2Bh%29%29%2F%281%2Bh%29 = %283%2B2h-3-3h%29%2F%281%2Bh%29 = %28-h%29%2F%281%2Bh%29



Then simplify the denominator in the lowest-store fraction separately

    2 + h - 2 = h


Then divide one part by another - - - quite obvious way to work with many-store fractions

    The given fraction is equal to = %28%28%28-h%29%2F%281%2Bh%29%29%29%2Fh = -1%2F%281%2Bh%29.   


It is your final answer.

Solved.



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Please simplify this problem and show all the steps so I can understand how it was simplified.
%28%283%2B2h%29%2F%281%2Bh%29-3%29%2F%282%2Bh-2%29 = %283+%2B+2h%29%2F%281+%2B+h%29+-+3%29 ÷ 2+%2B+h+-+2 
= %283+%2B+2h%29%2F%281+%2B+h%29+-+3%2F1%29 ÷ h
= %283+%2B+2h%29%2F%281+%2B+h%29+-+3%2F1 * 1%2Fh ------ Applying KCF
= %28%28%283+%2B+2h%29+-+3%281+%2B+h%29%29%2F%281+%2B+h%29%29+%2A+%281%2Fh%29
= %28%283+%2B+2h+-+3+-+3h%29%2F%281+%2B+h%29%29+%2A+%281%2Fh%29
=