Solve -33/4-5/12

$$- 3 \frac { 3 } { 4 } - \frac { 5 } { 12 }$$

Evaluate

$$-\frac{25}{6}\approx -4.166666667$$

Solution Steps

Multiply 3 and 4 to get 12.

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

Add 12 and 3 to get 15.

$$-\frac{15}{4}-\frac{5}{12}$$

Least common multiple of 4 and 12 is 12. Convert -\frac{15}{4} and \frac{5}{12} to fractions with denominator 12.

$$-\frac{45}{12}-\frac{5}{12}$$

Since -\frac{45}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-45-5}{12}$$

Subtract 5 from -45 to get -50.

$$\frac{-50}{12}$$

Reduce the fraction \frac{-50}{12} to lowest terms by extracting and canceling out 2.

$$-\frac{25}{6}$$

Factor

$$-\frac{25}{6} = -4\frac{1}{6} = -4.166666666666667$$