Solve --5/14/frac{3{7}}

$$- \frac { - \frac { 5 } { 14 } } { \frac { 3 } { 7 } }$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Divide -\frac{5}{14} by \frac{3}{7} by multiplying -\frac{5}{14} by the reciprocal of \frac{3}{7}.

$$-\left(-\frac{5}{14}\times \frac{7}{3}\right)$$

Multiply -\frac{5}{14} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{-5\times 7}{14\times 3}$$

Do the multiplications in the fraction \frac{-5\times 7}{14\times 3}.

$$-\frac{-35}{42}$$

Reduce the fraction \frac{-35}{42} to lowest terms by extracting and canceling out 7.

$$-\left(-\frac{5}{6}\right)$$

The opposite of -\frac{5}{6} is \frac{5}{6}.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$