Solve (-3/4)+(-5/12)

$$( - \frac { 3 } { 4 } ) + ( - \frac { 5 } { 12 } )$$

Evaluate

$$-\frac{7}{6}\approx -1.166666667$$

Solution Steps

Least common multiple of 4 and 12 is 12. Convert -\frac{3}{4} and \frac{5}{12} to fractions with denominator 12.

$$-\frac{9}{12}-\frac{5}{12}$$

Since -\frac{9}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-5}{12}$$

Subtract 5 from -9 to get -14.

$$\frac{-14}{12}$$

Reduce the fraction \frac{-14}{12} to lowest terms by extracting and canceling out 2.

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

Factor

$$-\frac{7}{6} = -1\frac{1}{6} = -1.1666666666666667$$