Solve -15/9-(-22/9)=

$$- 1 \frac { 5 } { 9 } - ( - 2 \frac { 2 } { 9 } ) =$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Multiply 1 and 9 to get 9.

$$-\frac{9+5}{9}-\left(-\frac{2\times 9+2}{9}\right)$$

Add 9 and 5 to get 14.

$$-\frac{14}{9}-\left(-\frac{2\times 9+2}{9}\right)$$

Multiply 2 and 9 to get 18.

$$-\frac{14}{9}-\left(-\frac{18+2}{9}\right)$$

Add 18 and 2 to get 20.

$$-\frac{14}{9}-\left(-\frac{20}{9}\right)$$

The opposite of -\frac{20}{9} is \frac{20}{9}.

$$-\frac{14}{9}+\frac{20}{9}$$

Since -\frac{14}{9} and \frac{20}{9} have the same denominator, add them by adding their numerators.

$$\frac{-14+20}{9}$$

Add -14 and 20 to get 6.

$$\frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$