Solve (1)(-2/3)-(+1/6)+(-0.75)-1/2

$$( 1 ) ( - \frac { 2 } { 3 } ) - ( + \frac { 1 } { 6 } ) + ( - 0.75 ) - \frac { 1 } { 2 }$$

Evaluate

$$-\frac{25}{12}\approx -2.083333333$$

Solution Steps

Multiply 1 and -\frac{2}{3} to get -\frac{2}{3}.

$$-\frac{2}{3}-\frac{1}{6}-0.75-\frac{1}{2}$$

Least common multiple of 3 and 6 is 6. Convert -\frac{2}{3} and \frac{1}{6} to fractions with denominator 6.

$$-\frac{4}{6}-\frac{1}{6}-0.75-\frac{1}{2}$$

Since -\frac{4}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-1}{6}-0.75-\frac{1}{2}$$

Subtract 1 from -4 to get -5.

$$-\frac{5}{6}-0.75-\frac{1}{2}$$

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{5}{6}-\frac{3}{4}-\frac{1}{2}$$

Least common multiple of 6 and 4 is 12. Convert -\frac{5}{6} and \frac{3}{4} to fractions with denominator 12.

$$-\frac{10}{12}-\frac{9}{12}-\frac{1}{2}$$

Since -\frac{10}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-10-9}{12}-\frac{1}{2}$$

Subtract 9 from -10 to get -19.

$$-\frac{19}{12}-\frac{1}{2}$$

Least common multiple of 12 and 2 is 12. Convert -\frac{19}{12} and \frac{1}{2} to fractions with denominator 12.

$$-\frac{19}{12}-\frac{6}{12}$$

Since -\frac{19}{12} and \frac{6}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-19-6}{12}$$

Subtract 6 from -19 to get -25.

$$-\frac{25}{12}$$

Factor

$$-\frac{25}{12} = -2\frac{1}{12} = -2.0833333333333335$$