Solve (1/21/4)/(frac{-5{12})}

$$\frac { ( \frac { 1 } { 2 } \frac { 1 } { 4 } ) } { ( \frac { - 5 } { 12 } ) }$$

Evaluate

$$-\frac{3}{10}=-0.3$$

Solution Steps

Multiply \frac{1}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 1}{2\times 4}}{\frac{-5}{12}}$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 4}.

$$\frac{\frac{1}{8}}{\frac{-5}{12}}$$

Fraction \frac{-5}{12} can be rewritten as -\frac{5}{12} by extracting the negative sign.

$$\frac{\frac{1}{8}}{-\frac{5}{12}}$$

Divide \frac{1}{8} by -\frac{5}{12} by multiplying \frac{1}{8} by the reciprocal of -\frac{5}{12}.

$$\frac{1}{8}\left(-\frac{12}{5}\right)$$

Multiply \frac{1}{8} times -\frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-12\right)}{8\times 5}$$

Do the multiplications in the fraction \frac{1\left(-12\right)}{8\times 5}.

$$\frac{-12}{40}$$

Reduce the fraction \frac{-12}{40} to lowest terms by extracting and canceling out 4.

$$-\frac{3}{10}$$

Factor

$$-\frac{3}{10} = -0.3$$