Solve -3/5(0.5-1/3+5/6)

$$- \frac{ 3 }{ 5 } (0.5- \frac{ 1 }{ 3 } + \frac{ 5 }{ 6 } )$$

Evaluate

$$-0.6$$

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.

$$-\frac{3}{5}\left(\frac{1}{2}-\frac{1}{3}+\frac{5}{6}\right)$$

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

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

Since \frac{3}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 3 to get 1.

$$-\frac{3}{5}\left(\frac{1}{6}+\frac{5}{6}\right)$$

Since \frac{1}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$-\frac{3}{5}\times \frac{1+5}{6}$$

Add 1 and 5 to get 6.

$$-\frac{3}{5}\times \frac{6}{6}$$

Divide 6 by 6 to get 1.

$$-\frac{3}{5}$$

Factor

$$-0.6$$