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

2 Answers
Apr 30, 2018

n = 9

Explanation:

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

Apr 30, 2018

n=9

Explanation:

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