Solve 6/-1,8-3/2(-1,8)

$$\frac { 6 } { - 1,8 } - \frac { 3 } { 2 ( - 1,8 ) }$$

Evaluate

$$-2,5$$

Solution Steps

Expand \frac{6}{-1,8} by multiplying both numerator and the denominator by 10.

$$\frac{60}{-18}-\frac{3}{2\left(-1,8\right)}$$

Reduce the fraction \frac{60}{-18} to lowest terms by extracting and canceling out 6.

$$-\frac{10}{3}-\frac{3}{2\left(-1,8\right)}$$

Multiply 2 and -1,8 to get -3,6.

$$-\frac{10}{3}-\frac{3}{-3,6}$$

Expand \frac{3}{-3,6} by multiplying both numerator and the denominator by 10.

$$-\frac{10}{3}-\frac{30}{-36}$$

Reduce the fraction \frac{30}{-36} to lowest terms by extracting and canceling out 6.

$$-\frac{10}{3}-\left(-\frac{5}{6}\right)$$

The opposite of -\frac{5}{6} is \frac{5}{6}.

$$-\frac{10}{3}+\frac{5}{6}$$

Least common multiple of 3 and 6 is 6. Convert -\frac{10}{3} and \frac{5}{6} to fractions with denominator 6.

$$-\frac{20}{6}+\frac{5}{6}$$

Since -\frac{20}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{-20+5}{6}$$

Add -20 and 5 to get -15.

$$\frac{-15}{6}$$

Reduce the fraction \frac{-15}{6} to lowest terms by extracting and canceling out 3.

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

Factor

$$-2,5$$