How do you solve #\frac { 19} { 4} = \frac { 57} { m }#?

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Answer 1 · 2016-11-22T21:15:14

#m = 12#

Step 1) Multiply each side of the equation by #4m# to eliminate the fraction while keeping the equation balanced:

#(4m * 19)/4 = (4m * 57)/m#

#19m = 4*57#

#19m = 228#

Step 2) Divide each side of the equation by #19# to solve for #m# while keeping the equation balanced:

#(19m)/19 = 228/19#

#m = 12#