Solve (6-(-2))/-2+(-7)/(3(-4))(25/5)

$$\frac { ( 6 - ( - 2 ) ) } { - 2 } + \frac { ( - 7 ) } { ( 3 ( - 4 ) ) } ( \frac { 25 } { 5 } )$$

Evaluate

$$-\frac{13}{12}\approx -1.083333333$$

Solution Steps

The opposite of -2 is 2.

$$\frac{6+2}{-2}+\frac{-7}{3\left(-4\right)}\times \frac{25}{5}$$

Add 6 and 2 to get 8.

$$\frac{8}{-2}+\frac{-7}{3\left(-4\right)}\times \frac{25}{5}$$

Divide 8 by -2 to get -4.

$$-4+\frac{-7}{3\left(-4\right)}\times \frac{25}{5}$$

Multiply 3 and -4 to get -12.

$$-4+\frac{-7}{-12}\times \frac{25}{5}$$

Fraction \frac{-7}{-12} can be simplified to \frac{7}{12} by removing the negative sign from both the numerator and the denominator.

$$-4+\frac{7}{12}\times \frac{25}{5}$$

Divide 25 by 5 to get 5.

$$-4+\frac{7}{12}\times 5$$

Express \frac{7}{12}\times 5 as a single fraction.

$$-4+\frac{7\times 5}{12}$$

Multiply 7 and 5 to get 35.

$$-4+\frac{35}{12}$$

Convert -4 to fraction -\frac{48}{12}.

$$-\frac{48}{12}+\frac{35}{12}$$

Since -\frac{48}{12} and \frac{35}{12} have the same denominator, add them by adding their numerators.

$$\frac{-48+35}{12}$$

Add -48 and 35 to get -13.

$$-\frac{13}{12}$$

Factor

$$-\frac{13}{12} = -1\frac{1}{12} = -1.0833333333333333$$