Solve (-3/8)*2-5/6

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

Evaluate

$$-\frac{19}{12}\approx -1.583333333$$

Solution Steps

Express -\frac{3}{8}\times 2 as a single fraction.

$$\frac{-3\times 2}{8}-\frac{5}{6}$$

Multiply -3 and 2 to get -6.

$$\frac{-6}{8}-\frac{5}{6}$$

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

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

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

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

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

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

Subtract 10 from -9 to get -19.

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

Factor

$$-\frac{19}{12} = -1\frac{7}{12} = -1.5833333333333333$$