Solve 9/6-6^2-9/6

$$\frac{ 9 }{ 6- { 6 }^{ 2 } } - \frac{ 9 }{ 6 }$$

Evaluate

$$-\frac{9}{5}=-1.8$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\frac{9}{6-36}-\frac{9}{6}$$

Subtract 36 from 6 to get -30.

$$\frac{9}{-30}-\frac{9}{6}$$

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

$$-\frac{3}{10}-\frac{9}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{3}{10}-\frac{3}{2}$$

Least common multiple of 10 and 2 is 10. Convert -\frac{3}{10} and \frac{3}{2} to fractions with denominator 10.

$$-\frac{3}{10}-\frac{15}{10}$$

Since -\frac{3}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-15}{10}$$

Subtract 15 from -3 to get -18.

$$\frac{-18}{10}$$

Reduce the fraction \frac{-18}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{9}{5}$$

Factor

$$-\frac{9}{5} = -1\frac{4}{5} = -1.8$$