Solve 3/10*(-5/6)+2/3*(-3/8)

$$\frac { 3 } { 10 } \times ( - \frac { 5 } { 6 } ) + \frac { 2 } { 3 } \times ( - \frac { 3 } { 8 } )$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Multiply \frac{3}{10} times -\frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\left(-5\right)}{10\times 6}+\frac{2}{3}\left(-\frac{3}{8}\right)$$

Do the multiplications in the fraction \frac{3\left(-5\right)}{10\times 6}.

$$\frac{-15}{60}+\frac{2}{3}\left(-\frac{3}{8}\right)$$

Reduce the fraction \frac{-15}{60} to lowest terms by extracting and canceling out 15.

$$-\frac{1}{4}+\frac{2}{3}\left(-\frac{3}{8}\right)$$

Multiply \frac{2}{3} times -\frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{4}+\frac{2\left(-3\right)}{3\times 8}$$

Do the multiplications in the fraction \frac{2\left(-3\right)}{3\times 8}.

$$-\frac{1}{4}+\frac{-6}{24}$$

Reduce the fraction \frac{-6}{24} to lowest terms by extracting and canceling out 6.

$$-\frac{1}{4}-\frac{1}{4}$$

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

$$\frac{-1-1}{4}$$

Subtract 1 from -1 to get -2.

$$\frac{-2}{4}$$

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

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

Factor

$$-\frac{1}{2} = -0.5$$