How do you solve #\frac { 24} { w } = \frac { 2} { 3}#?

1 Answer
Jim G.
Apr 3, 2017

#w=36#

Explanation:

One way is to multiply both sides of the equation by the #color(blue)"lowest common multiple"# (LCM) of w and 3

The LCM of w and 3 is 3w

#3cancel(w)^1xx24/cancel(w)^1=cancel(3)^1 wxx2/cancel(3)^1#

#rArr3xx24=2w#

#rArr2w=72larr" reversing the equation"#

divide both sides by 2

#(cancel(2) w)/cancel(2)=72/2#

#rArrw=36#

#color(blue)"As a check"#

Substitute this value into the left side and if equal to the right side then it is the solution.

#24/36=cancel(24)^2/cancel(36)^3=2/3=" right side"#

#rArrw=36" is the solution"#

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