How do you evaluate #d- \frac { 1} { 3} = \frac { 7} { 12}#?

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Answer 1 · 2017-09-13T15:17:52

See a solution process below:

First, add #color(red)(1/3)# to each side of the equation to isolate #d#:

#d - 1/3 + color(red)(1/3) = 7/12 + color(red)(1/3)#

#d + 0 = 7/12 + 1/3#

#d = 7/12 + 1/3#

Next, multiply #1/3# by the appropriate form of #1# to put the fraction over a common denominator with #7/12#:

#d = 7/12 + (4/4 xx 1/3)#

#d = 7/12 + (4 xx 1)/(4 xx 3)#

#d = 7/12 + 4/12#

Now, add the fractions over the common denominator:

#d = (7 + 4)/12#

#d = 11/12#