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

2 Answers
Feb 21, 2018

Answer:

#x = 25/4#

Explanation:

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!

Feb 21, 2018

Answer:

#x=25/4#

Explanation:

#(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#