Solve -2/9(3)+0(15+-1/9+3)

$$\frac { - 2 } { 9 } ( 3 ) + 0 ( 15 + \frac { - 1 } { 9 } + 3 )$$

Evaluate

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

Solution Steps

Fraction \frac{-2}{9} can be rewritten as -\frac{2}{9} by extracting the negative sign.

$$-\frac{2}{9}\times 3+0\left(15+\frac{-1}{9}+3\right)$$

Express -\frac{2}{9}\times 3 as a single fraction.

$$\frac{-2\times 3}{9}+0\left(15+\frac{-1}{9}+3\right)$$

Multiply -2 and 3 to get -6.

$$\frac{-6}{9}+0\left(15+\frac{-1}{9}+3\right)$$

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

$$-\frac{2}{3}+0\left(15+\frac{-1}{9}+3\right)$$

Fraction \frac{-1}{9} can be rewritten as -\frac{1}{9} by extracting the negative sign.

$$-\frac{2}{3}+0\left(15-\frac{1}{9}+3\right)$$

Convert 15 to fraction \frac{135}{9}.

$$-\frac{2}{3}+0\left(\frac{135}{9}-\frac{1}{9}+3\right)$$

Since \frac{135}{9} and \frac{1}{9} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{2}{3}+0\left(\frac{135-1}{9}+3\right)$$

Subtract 1 from 135 to get 134.

$$-\frac{2}{3}+0\left(\frac{134}{9}+3\right)$$

Convert 3 to fraction \frac{27}{9}.

$$-\frac{2}{3}+0\left(\frac{134}{9}+\frac{27}{9}\right)$$

Since \frac{134}{9} and \frac{27}{9} have the same denominator, add them by adding their numerators.

$$-\frac{2}{3}+0\times \frac{134+27}{9}$$

Add 134 and 27 to get 161.

$$-\frac{2}{3}+0\times \frac{161}{9}$$

Multiply 0 and \frac{161}{9} to get 0.

$$-\frac{2}{3}+0$$

Add -\frac{2}{3} and 0 to get -\frac{2}{3}.

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

Factor

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