Solve -3/4(0.5-1/6+2/3)=

$$- \frac { 3 } { 4 } ( 0.5 - \frac { 1 } { 6 } + \frac { 2 } { 3 } ) =$$

Evaluate

$$-0.75$$

Solution Steps

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{3}{4}\left(\frac{1}{2}-\frac{1}{6}+\frac{2}{3}\right)$$

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

$$-\frac{3}{4}\left(\frac{3}{6}-\frac{1}{6}+\frac{2}{3}\right)$$

Since \frac{3}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{3}{4}\left(\frac{3-1}{6}+\frac{2}{3}\right)$$

Subtract 1 from 3 to get 2.

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

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

$$-\frac{3}{4}\left(\frac{1}{3}+\frac{2}{3}\right)$$

Since \frac{1}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$-\frac{3}{4}\times \frac{1+2}{3}$$

Add 1 and 2 to get 3.

$$-\frac{3}{4}\times \frac{3}{3}$$

Divide 3 by 3 to get 1.

$$-\frac{3}{4}$$

Factor

$$-0.75$$