How do you solve #\frac { x } { 6} + \frac { x } { 2} = \frac { 5} { 12}#?

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Answer 1 · 2017-11-07T04:13:34

# x= 5/8#

#\frac { x } { 6} + \frac { x } { 2} = \frac { 5} { 12}#

First make the denominators of the fractions on left hand side of the equation equal:

#=>\frac { x } { 6} + \frac { x } { 2} xx (3/3)= \frac { 5} { 12}#

#=>\frac { x } { 6} + \frac { 3x } { 6} = \frac { 5} { 12}#

#=>\frac { x+3x } { 6} = \frac { 5} { 12}#

#=>\frac { 4x } { 6} = \frac { 5} { 12}#

Now by transposition method:

#=>x = (5/12)xx (6/4)#

#=>x = (5/cancel12^2)xx (cancel6^1/4)#

#=> x= 5/8#