Solve 6div(-22/5)?

$$6 \div ( - 2 \frac { 2 } { 5 } ) ?$$

Evaluate

$$-\frac{5}{2}=-2.5$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{6}{-\frac{10+2}{5}}$$

Add 10 and 2 to get 12.

$$\frac{6}{-\frac{12}{5}}$$

Divide 6 by -\frac{12}{5} by multiplying 6 by the reciprocal of -\frac{12}{5}.

$$6\left(-\frac{5}{12}\right)$$

Express 6\left(-\frac{5}{12}\right) as a single fraction.

$$\frac{6\left(-5\right)}{12}$$

Multiply 6 and -5 to get -30.

$$\frac{-30}{12}$$

Reduce the fraction \frac{-30}{12} to lowest terms by extracting and canceling out 6.

$$-\frac{5}{2}$$

Factor

$$-\frac{5}{2} = -2\frac{1}{2} = -2.5$$