Solve (-7/9)-1+2/3

$$( - \frac { 7 } { 9 } ) - 1 + \frac { 2 } { 3 }$$

Evaluate

$$-\frac{10}{9}\approx -1.111111111$$

Solution Steps

Convert 1 to fraction \frac{9}{9}.

$$-\frac{7}{9}-\frac{9}{9}+\frac{2}{3}$$

Since -\frac{7}{9} and \frac{9}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-7-9}{9}+\frac{2}{3}$$

Subtract 9 from -7 to get -16.

$$-\frac{16}{9}+\frac{2}{3}$$

Least common multiple of 9 and 3 is 9. Convert -\frac{16}{9} and \frac{2}{3} to fractions with denominator 9.

$$-\frac{16}{9}+\frac{6}{9}$$

Since -\frac{16}{9} and \frac{6}{9} have the same denominator, add them by adding their numerators.

$$\frac{-16+6}{9}$$

Add -16 and 6 to get -10.

$$-\frac{10}{9}$$

Factor

$$-\frac{10}{9} = -1\frac{1}{9} = -1.1111111111111112$$