Solve (-5/12)div(-1/4)*(-3/10)

$$(- \frac{ 5 }{ 12 } ) \div (- \frac{ 1 }{ 4 } ) \times (- \frac{ 3 }{ 10 } )$$

Evaluate

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

Solution Steps

Divide -\frac{5}{12} by -\frac{1}{4} by multiplying -\frac{5}{12} by the reciprocal of -\frac{1}{4}.

$$-\frac{5}{12}\left(-4\right)\left(-\frac{3}{10}\right)$$

Express -\frac{5}{12}\left(-4\right) as a single fraction.

$$\frac{-5\left(-4\right)}{12}\left(-\frac{3}{10}\right)$$

Multiply -5 and -4 to get 20.

$$\frac{20}{12}\left(-\frac{3}{10}\right)$$

Reduce the fraction \frac{20}{12} to lowest terms by extracting and canceling out 4.

$$\frac{5}{3}\left(-\frac{3}{10}\right)$$

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

$$\frac{5\left(-3\right)}{3\times 10}$$

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

$$\frac{-15}{30}$$

Reduce the fraction \frac{-15}{30} to lowest terms by extracting and canceling out 15.

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

Factor

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