Solve 2017+1/3-2016+1/3

$$2017 + \frac { 1 } { 3 } - 2016 + \frac { 1 } { 3 }$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Convert 2017 to fraction \frac{6051}{3}.

$$\frac{6051}{3}+\frac{1}{3}-2016+\frac{1}{3}$$

Since \frac{6051}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{6051+1}{3}-2016+\frac{1}{3}$$

Add 6051 and 1 to get 6052.

$$\frac{6052}{3}-2016+\frac{1}{3}$$

Convert 2016 to fraction \frac{6048}{3}.

$$\frac{6052}{3}-\frac{6048}{3}+\frac{1}{3}$$

Since \frac{6052}{3} and \frac{6048}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6052-6048}{3}+\frac{1}{3}$$

Subtract 6048 from 6052 to get 4.

$$\frac{4}{3}+\frac{1}{3}$$

Since \frac{4}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{4+1}{3}$$

Add 4 and 1 to get 5.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$