Solve 8/9+16/18-14/3

$$\frac { 8 } { 9 } + \frac { 16 } { 18 } - \frac { 14 } { 3 }$$

Evaluate

$$-\frac{26}{9}\approx -2.888888889$$

Solution Steps

Reduce the fraction \frac{16}{18} to lowest terms by extracting and canceling out 2.

$$\frac{8}{9}+\frac{8}{9}-\frac{14}{3}$$

Since \frac{8}{9} and \frac{8}{9} have the same denominator, add them by adding their numerators.

$$\frac{8+8}{9}-\frac{14}{3}$$

Add 8 and 8 to get 16.

$$\frac{16}{9}-\frac{14}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{16}{9} and \frac{14}{3} to fractions with denominator 9.

$$\frac{16}{9}-\frac{42}{9}$$

Since \frac{16}{9} and \frac{42}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-42}{9}$$

Subtract 42 from 16 to get -26.

$$-\frac{26}{9}$$

Factor

$$-\frac{26}{9} = -2\frac{8}{9} = -2.888888888888889$$