Solve 9/9-15/2+-7/6

$$\frac { 9 } { 9 } - \frac { 15 } { 2 } + \frac { - 7 } { 6 }$$

Evaluate

$$-\frac{23}{3}\approx -7.666666667$$

Solution Steps

Divide 9 by 9 to get 1.

$$1-\frac{15}{2}+\frac{-7}{6}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{2}{2}-\frac{15}{2}+\frac{-7}{6}$$

Since \frac{2}{2} and \frac{15}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-15}{2}+\frac{-7}{6}$$

Subtract 15 from 2 to get -13.

$$-\frac{13}{2}+\frac{-7}{6}$$

Fraction \frac{-7}{6} can be rewritten as -\frac{7}{6} by extracting the negative sign.

$$-\frac{13}{2}-\frac{7}{6}$$

Least common multiple of 2 and 6 is 6. Convert -\frac{13}{2} and \frac{7}{6} to fractions with denominator 6.

$$-\frac{39}{6}-\frac{7}{6}$$

Since -\frac{39}{6} and \frac{7}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-39-7}{6}$$

Subtract 7 from -39 to get -46.

$$\frac{-46}{6}$$

Reduce the fraction \frac{-46}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{23}{3}$$

Factor

$$-\frac{23}{3} = -7\frac{2}{3} = -7.666666666666667$$