Solve 9(-3/7)div4/12=

$$9 ( - \frac { 3 } { 7 } ) \div \frac { 4 } { 12 } =$$

Evaluate

$$-\frac{81}{7}\approx -11.571428571$$

Solution Steps

Express 9\left(-\frac{3}{7}\right) as a single fraction.

$$\frac{\frac{9\left(-3\right)}{7}}{\frac{4}{12}}$$

Multiply 9 and -3 to get -27.

$$\frac{\frac{-27}{7}}{\frac{4}{12}}$$

Fraction \frac{-27}{7} can be rewritten as -\frac{27}{7} by extracting the negative sign.

$$\frac{-\frac{27}{7}}{\frac{4}{12}}$$

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

$$\frac{-\frac{27}{7}}{\frac{1}{3}}$$

Divide -\frac{27}{7} by \frac{1}{3} by multiplying -\frac{27}{7} by the reciprocal of \frac{1}{3}.

$$-\frac{27}{7}\times 3$$

Express -\frac{27}{7}\times 3 as a single fraction.

$$\frac{-27\times 3}{7}$$

Multiply -27 and 3 to get -81.

$$\frac{-81}{7}$$

Fraction \frac{-81}{7} can be rewritten as -\frac{81}{7} by extracting the negative sign.

$$-\frac{81}{7}$$

Factor

$$-\frac{81}{7} = -11\frac{4}{7} = -11.571428571428571$$