Solve 12/9-(-1/18)+1/2

$$1 \frac { 2 } { 9 } - ( - \frac { 1 } { 18 } ) + \frac { 1 } { 2 }$$

Evaluate

$$\frac{16}{9}\approx 1.777777778$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+2}{9}-\left(-\frac{1}{18}\right)+\frac{1}{2}$$

Add 9 and 2 to get 11.

$$\frac{11}{9}-\left(-\frac{1}{18}\right)+\frac{1}{2}$$

The opposite of -\frac{1}{18} is \frac{1}{18}.

$$\frac{11}{9}+\frac{1}{18}+\frac{1}{2}$$

Least common multiple of 9 and 18 is 18. Convert \frac{11}{9} and \frac{1}{18} to fractions with denominator 18.

$$\frac{22}{18}+\frac{1}{18}+\frac{1}{2}$$

Since \frac{22}{18} and \frac{1}{18} have the same denominator, add them by adding their numerators.

$$\frac{22+1}{18}+\frac{1}{2}$$

Add 22 and 1 to get 23.

$$\frac{23}{18}+\frac{1}{2}$$

Least common multiple of 18 and 2 is 18. Convert \frac{23}{18} and \frac{1}{2} to fractions with denominator 18.

$$\frac{23}{18}+\frac{9}{18}$$

Since \frac{23}{18} and \frac{9}{18} have the same denominator, add them by adding their numerators.

$$\frac{23+9}{18}$$

Add 23 and 9 to get 32.

$$\frac{32}{18}$$

Reduce the fraction \frac{32}{18} to lowest terms by extracting and canceling out 2.

$$\frac{16}{9}$$

Factor

$$\frac{2 ^ {4}}{3 ^ {2}} = 1\frac{7}{9} = 1.7777777777777777$$