Solve -23/4-5/6-(-8/2)

$$- 2 \frac { 3 } { 4 } - \frac { 5 } { 6 } - ( - \frac { 8 } { 2 } )$$

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

Multiply 2 and 4 to get 8.

$$-\frac{8+3}{4}-\frac{5}{6}-\left(-\frac{8}{2}\right)$$

Add 8 and 3 to get 11.

$$-\frac{11}{4}-\frac{5}{6}-\left(-\frac{8}{2}\right)$$

Least common multiple of 4 and 6 is 12. Convert -\frac{11}{4} and \frac{5}{6} to fractions with denominator 12.

$$-\frac{33}{12}-\frac{10}{12}-\left(-\frac{8}{2}\right)$$

Since -\frac{33}{12} and \frac{10}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-33-10}{12}-\left(-\frac{8}{2}\right)$$

Subtract 10 from -33 to get -43.

$$-\frac{43}{12}-\left(-\frac{8}{2}\right)$$

Divide 8 by 2 to get 4.

$$-\frac{43}{12}-\left(-4\right)$$

The opposite of -4 is 4.

$$-\frac{43}{12}+4$$

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

$$-\frac{43}{12}+\frac{48}{12}$$

Since -\frac{43}{12} and \frac{48}{12} have the same denominator, add them by adding their numerators.

$$\frac{-43+48}{12}$$

Add -43 and 48 to get 5.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$