Solve 75/9div-6,1/0,9=

$$\frac { 75 } { 9 } \div \frac { - 6,1 } { 0,9 } =$$

Evaluate

$$-\frac{75}{61}\approx -1,229508197$$

Solution Steps

Divide \frac{75}{9} by \frac{-6,1}{0,9} by multiplying \frac{75}{9} by the reciprocal of \frac{-6,1}{0,9}.

$$\frac{75\times 0,9}{9\left(-6,1\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{0,9\times 25}{-6,1\times 3}$$

Multiply 0,9 and 25 to get 22,5.

$$\frac{22,5}{-6,1\times 3}$$

Multiply -6,1 and 3 to get -18,3.

$$\frac{22,5}{-18,3}$$

Expand \frac{22,5}{-18,3} by multiplying both numerator and the denominator by 10.

$$\frac{225}{-183}$$

Reduce the fraction \frac{225}{-183} to lowest terms by extracting and canceling out 3.

$$-\frac{75}{61}$$

Factor

$$-\frac{75}{61} = -1\frac{14}{61} = -1.2295081967213115$$