Solve (-21/4)+(-7/12)

$$( - 2 \frac { 1 } { 4 } ) + ( - \frac { 7 } { 12 } )$$

Evaluate

$$-\frac{17}{6}\approx -2.833333333$$

Solution Steps

Multiply 2 and 4 to get 8.

$$-\frac{8+1}{4}-\frac{7}{12}$$

Add 8 and 1 to get 9.

$$-\frac{9}{4}-\frac{7}{12}$$

Least common multiple of 4 and 12 is 12. Convert -\frac{9}{4} and \frac{7}{12} to fractions with denominator 12.

$$-\frac{27}{12}-\frac{7}{12}$$

Since -\frac{27}{12} and \frac{7}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-27-7}{12}$$

Subtract 7 from -27 to get -34.

$$\frac{-34}{12}$$

Reduce the fraction \frac{-34}{12} to lowest terms by extracting and canceling out 2.

$$-\frac{17}{6}$$

Factor

$$-\frac{17}{6} = -2\frac{5}{6} = -2.8333333333333335$$