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

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

Evaluate

$$-\frac{35}{12}\approx -2.916666667$$

Solution Steps

Least common multiple of 4 and 3 is 12. Convert \frac{1}{4} and \frac{4}{3} to fractions with denominator 12.

$$\frac{3}{12}+\frac{16}{12}-\frac{1}{2}-4$$

Since \frac{3}{12} and \frac{16}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+16}{12}-\frac{1}{2}-4$$

Add 3 and 16 to get 19.

$$\frac{19}{12}-\frac{1}{2}-4$$

Least common multiple of 12 and 2 is 12. Convert \frac{19}{12} and \frac{1}{2} to fractions with denominator 12.

$$\frac{19}{12}-\frac{6}{12}-4$$

Since \frac{19}{12} and \frac{6}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-6}{12}-4$$

Subtract 6 from 19 to get 13.

$$\frac{13}{12}-4$$

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

$$\frac{13}{12}-\frac{48}{12}$$

Since \frac{13}{12} and \frac{48}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-48}{12}$$

Subtract 48 from 13 to get -35.

$$-\frac{35}{12}$$

Factor

$$-\frac{35}{12} = -2\frac{11}{12} = -2.9166666666666665$$