Solve -31/2-(-3/10)*(-5)=

$$- 3 \frac { 1 } { 2 } - ( - \frac { 3 } { 10 } ) \times ( - 5 ) =$$

Evaluate

$$-5$$

Solution Steps

Multiply 3 and 2 to get 6.

$$-\frac{6+1}{2}-\left(-\frac{3}{10}\left(-5\right)\right)$$

Add 6 and 1 to get 7.

$$-\frac{7}{2}-\left(-\frac{3}{10}\left(-5\right)\right)$$

Express -\frac{3}{10}\left(-5\right) as a single fraction.

$$-\frac{7}{2}-\frac{-3\left(-5\right)}{10}$$

Multiply -3 and -5 to get 15.

$$-\frac{7}{2}-\frac{15}{10}$$

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{7}{2}-\frac{3}{2}$$

Since -\frac{7}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-7-3}{2}$$

Subtract 3 from -7 to get -10.

$$\frac{-10}{2}$$

Divide -10 by 2 to get -5.

$$-5$$

Factor

$$-5$$