How do you solve #\frac { 9} { 18} = \frac { 6} { m }#?

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Answer 1 · 2016-11-28T15:21:28

#m = 12#

Step 1) multiply each side of the equation by #18m# to eliminate the fraction and keep the equation balanced:

#18m * 9/18 = 18m * 6/m#

#cancel(18)m * 9/cancel(18) = 18cancel(m) * 6/cancel(m)#

9m = 108#

Step 2) Divide each side of the equation by #9# to solve for #m# and keep the equation balanced:

#(9m)/9 = 108/9#

#(cancel(9)m)/cancel(9) = 12#

#m = 12#