Solve -35/4-5/12=

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

Evaluate

$$-\frac{14}{3}\approx -4.666666667$$

Solution Steps

Multiply 3 and 4 to get 12.

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

Add 12 and 5 to get 17.

$$-\frac{17}{4}-\frac{5}{12}$$

Least common multiple of 4 and 12 is 12. Convert -\frac{17}{4} and \frac{5}{12} to fractions with denominator 12.

$$-\frac{51}{12}-\frac{5}{12}$$

Since -\frac{51}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-51-5}{12}$$

Subtract 5 from -51 to get -56.

$$\frac{-56}{12}$$

Reduce the fraction \frac{-56}{12} to lowest terms by extracting and canceling out 4.

$$-\frac{14}{3}$$

Factor

$$-\frac{14}{3} = -4\frac{2}{3} = -4.666666666666667$$