What is the value of #((2/3-5/6)/(3/4))#?

1 Answer
Jan 2, 2017

Answer:

#((2/3-5/6)/(3/4))=-2/9#

Explanation:

#((2/3-5/6)/(3/4))#

The fractions in the numerator must have a common denominator. Determine the least common denominator (LCD) by determining the lowest multiple that each have in common.

#3:##3,color(red)6,9#
#6:##color(red)6,12,18#

The LCD is #6#. Multiply #2/3# by an equivalent fraction to obtain a denominator of #6#.

#((2/3xxcolor(red)(2/2))-(5/6))/(3/4)#

Simplify.

#((4/6-5/6))/(3/4)=#

#(-1/6)/(3/4)=#

#-(1/6)/(3/4)#

When dividing by a fraction, invert and multiply.

#-1/6xx4/3#

Simplify.

#-4/18#

Simplify.

#-2/9#