Solve 7/8div-3/4

$$\frac{ 7 }{ 8 } \div - \frac{ 3 }{ 4 }$$

Evaluate

$$-\frac{7}{6}\approx -1.166666667$$

Solution Steps

Divide \frac{7}{8} by -\frac{3}{4} by multiplying \frac{7}{8} by the reciprocal of -\frac{3}{4}.

$$\frac{7}{8}\left(-\frac{4}{3}\right)$$

Multiply \frac{7}{8} times -\frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\left(-4\right)}{8\times 3}$$

Do the multiplications in the fraction \frac{7\left(-4\right)}{8\times 3}.

$$\frac{-28}{24}$$

Reduce the fraction \frac{-28}{24} to lowest terms by extracting and canceling out 4.

$$-\frac{7}{6}$$

Factor

$$-\frac{7}{6} = -1\frac{1}{6} = -1.1666666666666667$$