Solve (5/-2)+(-7/3)+(1/-6)

$$( 5 / - 2 ) + ( - 7 / 3 ) + ( 1 / - 6 )$$

Evaluate

$$-5$$

Solution Steps

Fraction \frac{5}{-2} can be rewritten as -\frac{5}{2} by extracting the negative sign.

$$-\frac{5}{2}-\frac{7}{3}+\frac{1}{-6}$$

Least common multiple of 2 and 3 is 6. Convert -\frac{5}{2} and \frac{7}{3} to fractions with denominator 6.

$$-\frac{15}{6}-\frac{14}{6}+\frac{1}{-6}$$

Since -\frac{15}{6} and \frac{14}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-15-14}{6}+\frac{1}{-6}$$

Subtract 14 from -15 to get -29.

$$-\frac{29}{6}+\frac{1}{-6}$$

Fraction \frac{1}{-6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

$$-\frac{29}{6}-\frac{1}{6}$$

Since -\frac{29}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-29-1}{6}$$

Subtract 1 from -29 to get -30.

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

Divide -30 by 6 to get -5.

$$-5$$

Factor

$$-5$$