Solve 992/3div(-1/14)

$$99 \frac { 2 } { 3 } \div ( - \frac { 1 } { 14 } )$$

Evaluate

$$-\frac{4186}{3}\approx -1395.333333333$$

Solution Steps

Divide \frac{99\times 3+2}{3} by -\frac{1}{14} by multiplying \frac{99\times 3+2}{3} by the reciprocal of -\frac{1}{14}.

$$\frac{\left(99\times 3+2\right)\times 14}{3\left(-1\right)}$$

Multiply 99 and 3 to get 297.

$$\frac{\left(297+2\right)\times 14}{3\left(-1\right)}$$

Add 297 and 2 to get 299.

$$\frac{299\times 14}{3\left(-1\right)}$$

Multiply 299 and 14 to get 4186.

$$\frac{4186}{3\left(-1\right)}$$

Multiply 3 and -1 to get -3.

$$\frac{4186}{-3}$$

Fraction \frac{4186}{-3} can be rewritten as -\frac{4186}{3} by extracting the negative sign.

$$-\frac{4186}{3}$$

Factor

$$-\frac{4186}{3} = -1395\frac{1}{3} = -1395.3333333333333$$