Solve (-31/8)+(-21/12)=

$$( - 3 \frac { 1 } { 8 } ) + ( - 2 \frac { 1 } { 12 } ) =$$

Evaluate

$$-\frac{125}{24}\approx -5.208333333$$

Solution Steps

Multiply 3 and 8 to get 24.

$$-\frac{24+1}{8}-\frac{2\times 12+1}{12}$$

Add 24 and 1 to get 25.

$$-\frac{25}{8}-\frac{2\times 12+1}{12}$$

Multiply 2 and 12 to get 24.

$$-\frac{25}{8}-\frac{24+1}{12}$$

Add 24 and 1 to get 25.

$$-\frac{25}{8}-\frac{25}{12}$$

Least common multiple of 8 and 12 is 24. Convert -\frac{25}{8} and \frac{25}{12} to fractions with denominator 24.

$$-\frac{75}{24}-\frac{50}{24}$$

Since -\frac{75}{24} and \frac{50}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-75-50}{24}$$

Subtract 50 from -75 to get -125.

$$-\frac{125}{24}$$

Factor

$$-\frac{125}{24} = -5\frac{5}{24} = -5.208333333333333$$