Solve (-3/2)-(-5/2)+(-2/15)div(-1/30)=

$$( - \frac { 3 } { 2 } ) - ( - \frac { 5 } { 2 } ) + ( - \frac { 2 } { 15 } ) \div ( - \frac { 1 } { 30 } ) =$$

Evaluate

$$5$$

Solution Steps

The opposite of -\frac{5}{2} is \frac{5}{2}.

$$-\frac{3}{2}+\frac{5}{2}+\frac{-\frac{2}{15}}{-\frac{1}{30}}$$

Since -\frac{3}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$\frac{-3+5}{2}+\frac{-\frac{2}{15}}{-\frac{1}{30}}$$

Add -3 and 5 to get 2.

$$\frac{2}{2}+\frac{-\frac{2}{15}}{-\frac{1}{30}}$$

Divide 2 by 2 to get 1.

$$1+\frac{-\frac{2}{15}}{-\frac{1}{30}}$$

Divide -\frac{2}{15} by -\frac{1}{30} by multiplying -\frac{2}{15} by the reciprocal of -\frac{1}{30}.

$$1-\frac{2}{15}\left(-30\right)$$

Express -\frac{2}{15}\left(-30\right) as a single fraction.

$$1+\frac{-2\left(-30\right)}{15}$$

Multiply -2 and -30 to get 60.

$$1+\frac{60}{15}$$

Divide 60 by 15 to get 4.

$$1+4$$

Add 1 and 4 to get 5.

$$5$$

Factor

$$5$$