How do you solve #\frac { 2} { 3} n + 3\frac { 1} { 3} = 9\frac { 1} { 3}#?

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Answer 1 · 2018-04-30T20:42:44

#n = 9#

First you want to have like terms on the same side. Subtract 3 1/3 from both sides.

#2/3n = 6#

Now multiply both sides by the reciprocal of 2/3, 3/2.

#n = 9#

Check:
#(2/3 * 9) + 3 1/3 = 9 1/3#

#6 + 3 1/3 = 9 1/3#

#9 1/3 = 9 1/3#

Answer 2 · 2018-04-30T20:42:53

#n=9#

First, subtract #3 1/3# from #9 1/3# to get #6# and from the left side. This should give you the equation

#2/3 n =6#

In order to solve for #n#, we multiply both sides by the reciprocal of #2/3#, which is #3/2#.

#6# multiplied by #3/2# is

#6 * 3/2 = 18/2 = 9#

so

#2/3n * 3/2 = 9#