Solve 3/4+2/3-1/2-4

$$\frac { 3 } { 4 } + \frac { 2 } { 3 } - \frac { 1 } { 2 } - 4$$

Evaluate

$$-\frac{37}{12}\approx -3.083333333$$

Solution Steps

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{9}{12}+\frac{8}{12}-\frac{1}{2}-4$$

Since \frac{9}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+8}{12}-\frac{1}{2}-4$$

Add 9 and 8 to get 17.

$$\frac{17}{12}-\frac{1}{2}-4$$

Least common multiple of 12 and 2 is 12. Convert \frac{17}{12} and \frac{1}{2} to fractions with denominator 12.

$$\frac{17}{12}-\frac{6}{12}-4$$

Since \frac{17}{12} and \frac{6}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-6}{12}-4$$

Subtract 6 from 17 to get 11.

$$\frac{11}{12}-4$$

Convert 4 to fraction \frac{48}{12}.

$$\frac{11}{12}-\frac{48}{12}$$

Since \frac{11}{12} and \frac{48}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-48}{12}$$

Subtract 48 from 11 to get -37.

$$-\frac{37}{12}$$

Factor

$$-\frac{37}{12} = -3\frac{1}{12} = -3.0833333333333335$$