How do you solve #\frac { 5} { 4} x = \frac { 1} { 3}#?

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Answer 1 · 2017-04-12T02:13:01

#x = 4/15#

#5/4x = 1/3# is the same as #(5x)/4 = 1/3#

multiply both sides by 3:

#3((5x)/4) = (1/3)3#

#3((5x)/4) = 1#

#(15x)/4 = 1#

multiply both sides by 4:

#4((15x)/4) = (1)4#

#15x = 4#

divide both sides by 15 to isolate x:

#(15x)/15 = 4/15#

#x = 4/15#

Since #4/15# doesn't further simplify, it's the answer.