How do you solve #m- \frac { 1} { 6} = \frac { 3} { 4}#?

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Answer 1 · 2017-08-09T02:58:44

See a solution process below:

FIrst, add #color(red)(1/6)# to each side of the equation to isolate the #m# term while keeping the equation balanced:

#m - 1/6 + color(red)(1/6) = 3/4 + color(red)(1/6)#

#m - 0 = 3/4 + 1/6#

#m = 3/4 + 1/6#

Now, multiply each fraction by the appropriate form of #1# to put them over a common denominator:

#m = (3/3 xx 3/4) + (2/2 xx 1/6)#

#m = 9/12 + 2/12#

#m = 11/12#