Solve -(1/3-8/6)+(-15/12-5/4)+1

$$- ( \frac { 1 } { 3 } - \frac { 8 } { 6 } ) + ( - \frac { 15 } { 12 } - \frac { 5 } { 4 } ) + 1$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$-\left(\frac{1}{3}-\frac{4}{3}\right)-\frac{15}{12}-\frac{5}{4}+1$$

Since \frac{1}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1-4}{3}-\frac{15}{12}-\frac{5}{4}+1$$

Subtract 4 from 1 to get -3.

$$-\frac{-3}{3}-\frac{15}{12}-\frac{5}{4}+1$$

Divide -3 by 3 to get -1.

$$-\left(-1\right)-\frac{15}{12}-\frac{5}{4}+1$$

The opposite of -1 is 1.

$$1-\frac{15}{12}-\frac{5}{4}+1$$

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

$$1-\frac{5}{4}-\frac{5}{4}+1$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{4}{4}-\frac{5}{4}-\frac{5}{4}+1$$

Since \frac{4}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-5}{4}-\frac{5}{4}+1$$

Subtract 5 from 4 to get -1.

$$-\frac{1}{4}-\frac{5}{4}+1$$

Since -\frac{1}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-5}{4}+1$$

Subtract 5 from -1 to get -6.

$$\frac{-6}{4}+1$$

Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{2}+1$$

Convert 1 to fraction \frac{2}{2}.

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

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

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

Add -3 and 2 to get -1.

$$-\frac{1}{2}$$

Factor

$$-\frac{1}{2} = -0.5$$