Solve -6/3-5/4-1/2=

$$- \frac { 6 } { 3 } - \frac { 5 } { 4 } - \frac { 1 } { 2 } =$$

Evaluate

$$-\frac{15}{4}=-3.75$$

Solution Steps

Divide 6 by 3 to get 2.

$$-2-\frac{5}{4}-\frac{1}{2}$$

Convert -2 to fraction -\frac{8}{4}.

$$-\frac{8}{4}-\frac{5}{4}-\frac{1}{2}$$

Since -\frac{8}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-8-5}{4}-\frac{1}{2}$$

Subtract 5 from -8 to get -13.

$$-\frac{13}{4}-\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert -\frac{13}{4} and \frac{1}{2} to fractions with denominator 4.

$$-\frac{13}{4}-\frac{2}{4}$$

Since -\frac{13}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-13-2}{4}$$

Subtract 2 from -13 to get -15.

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

Factor

$$-\frac{15}{4} = -3\frac{3}{4} = -3.75$$