How do you solve #\frac { ( x - 4) } { 3} = \frac { 9} { 12}#?

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Answer 1 · 2018-02-21T00:34:26

#x = 25/4#

Firstly, multiply both sides by #12#.

#(12(x-4))/3 = 9#

#(cancel(12)(x-4))/cancel(3) = 9#

#4(x-4) = 9#

Divide #4# on both sides.

#x-4 = 9/4#

And finally, add 4 to both sides.

#x= 9/4 + 4#

If you wish so, you can make them have the same denominator :

#x = 9/4 + 4/1 #

#x= 9/4 + 16/4#

#color(blue)(x=25/4#

I hope that helps!

Answer 2 · 2018-02-21T00:39:18

#x=25/4#

#(x-4)/3=9/12#

Cross multiply

#(x-4)(12)=9*3#

Distributive property

#(12)(x)+(12)(-4)=27#

#12x-48=27#

#12x=27+48#

#12x=75#

#x=75/12#

#x=25/4#