Solve 21/7div(-9/14)

$$2 \frac { 1 } { 7 } \div ( - \frac { 9 } { 14 } )$$

Evaluate

$$-\frac{10}{3}\approx -3.333333333$$

Solution Steps

Divide \frac{2\times 7+1}{7} by -\frac{9}{14} by multiplying \frac{2\times 7+1}{7} by the reciprocal of -\frac{9}{14}.

$$\frac{\left(2\times 7+1\right)\times 14}{7\left(-9\right)}$$

Cancel out 7 in both numerator and denominator.

$$\frac{2\left(1+2\times 7\right)}{-9}$$

Multiply 2 and 7 to get 14.

$$\frac{2\left(1+14\right)}{-9}$$

Add 1 and 14 to get 15.

$$\frac{2\times 15}{-9}$$

Multiply 2 and 15 to get 30.

$$\frac{30}{-9}$$

Reduce the fraction \frac{30}{-9} to lowest terms by extracting and canceling out 3.

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

Factor

$$-\frac{10}{3} = -3\frac{1}{3} = -3.3333333333333335$$