How do you simplify #\frac{\frac{1}{x}-\frac{3}{2}}{\frac{1}{x}+\frac{3}{4#?

1 Answer
Shell
Oct 7, 2016

#frac{4-6x}{4+3x}#

Explanation:

#frac{1/x-3/2}{1/x+3/4}#

Multiply both numerator and denominator by the lowest common denominator of all the fractions: #4x#

#frac{4x(1/x-3/2)}{4x(1/x+3/4)}#

#frac{(4x*1/x)+(4x*-3/2)}{(4x*1/x)+(4x*3/4)}#

#frac{4-6x}{4+3x}#

Related questions
Impact of this question
459 views around the world
You can reuse this answer
Creative Commons License