How do you solve #-\frac { 3} { 2} = \frac { 2} { 7} u - \frac { 7} { 3}#?

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Answer 1 · 2017-09-04T03:16:59

#35/12=u#

Begin by moving like terms to one side. Add #7/3# to both sides:

#-3/2color(red)(+7/3)=2/7ucancel(-7/3)cancel(color(red)(+7/3))#

#-3/2+7/3=2/7u#

Find the LCD of #2# and #3# to add the fractions on the left side:

#2: 2 , 4 , color(red)6#

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

The LCD of #2# and #3# is color(red)(6)

So we manipulate each fraction so that its denominator is #6#.

#-3/2(3/3)+7/3(2/2)=2/7u#

Note: Any operation done in the denominator must be done to the numerator

#-9/6+14/6=2/7u#

#5/6=2/7u#

Multiply #7# to both sides

#5/6*color(red)7=cancelcolor(red)7*2/cancel7u#

#35/6=2u#

Divide #2# to both sides

#(35/6)/2=2/cancel2u#

#(35/6)/2=u#

#35/6*1/2=u#

#35/12=u#