Solve -5/6+1/2(-2/5)

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

Evaluate

$$-\frac{31}{30}\approx -1.033333333$$

Solution Steps

Multiply \frac{1}{2} times -\frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\left(-2\right)}{2\times 5}.

$$-\frac{5}{6}+\frac{-2}{10}$$

Reduce the fraction \frac{-2}{10} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 6 and 5 is 30. Convert -\frac{5}{6} and \frac{1}{5} to fractions with denominator 30.

$$-\frac{25}{30}-\frac{6}{30}$$

Since -\frac{25}{30} and \frac{6}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-25-6}{30}$$

Subtract 6 from -25 to get -31.

$$-\frac{31}{30}$$

Factor

$$-\frac{31}{30} = -1\frac{1}{30} = -1.0333333333333334$$