Solve -5*12/15-(-3*2/9)

$$- 5 \times \frac { 12 } { 15 } - ( - 3 \times \frac { 2 } { 9 } )$$

Evaluate

$$-\frac{10}{3}\approx -3.333333333$$

Solution Steps

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$-5\times \frac{4}{5}-\left(-3\times \frac{2}{9}\right)$$

Multiply -5 times \frac{4}{5}.

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

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

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

Multiply -3 and 2 to get -6.

$$-4-\frac{-6}{9}$$

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

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

The opposite of -\frac{2}{3} is \frac{2}{3}.

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

Convert -4 to fraction -\frac{12}{3}.

$$-\frac{12}{3}+\frac{2}{3}$$

Since -\frac{12}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{-12+2}{3}$$

Add -12 and 2 to get -10.

$$-\frac{10}{3}$$

Factor

$$-\frac{10}{3} = -3\frac{1}{3} = -3.3333333333333335$$