Solve -4/3-(-1+7/9)

$$- \frac { 4 } { 3 } - ( - 1 + \frac { 7 } { 9 } )$$

Evaluate

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

Solution Steps

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

$$-\frac{4}{3}-\left(-\frac{9}{9}+\frac{7}{9}\right)$$

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

$$-\frac{4}{3}-\frac{-9+7}{9}$$

Add -9 and 7 to get -2.

$$-\frac{4}{3}-\left(-\frac{2}{9}\right)$$

The opposite of -\frac{2}{9} is \frac{2}{9}.

$$-\frac{4}{3}+\frac{2}{9}$$

Least common multiple of 3 and 9 is 9. Convert -\frac{4}{3} and \frac{2}{9} to fractions with denominator 9.

$$-\frac{12}{9}+\frac{2}{9}$$

Since -\frac{12}{9} and \frac{2}{9} have the same denominator, add them by adding their numerators.

$$\frac{-12+2}{9}$$

Add -12 and 2 to get -10.

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

Factor

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