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

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

Evaluate

$$\frac{29}{12}\approx 2.416666667$$

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, subtract them by subtracting their numerators.

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

Subtract 16 from 3 to get -13.

$$-\frac{13}{12}-\frac{1}{2}+4$$

Least common multiple of 12 and 2 is 12. Convert -\frac{13}{12} and \frac{1}{2} to fractions with denominator 12.

$$-\frac{13}{12}-\frac{6}{12}+4$$

Since -\frac{13}{12} and \frac{6}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-13-6}{12}+4$$

Subtract 6 from -13 to get -19.

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

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

$$-\frac{19}{12}+\frac{48}{12}$$

Since -\frac{19}{12} and \frac{48}{12} have the same denominator, add them by adding their numerators.

$$\frac{-19+48}{12}$$

Add -19 and 48 to get 29.

$$\frac{29}{12}$$

Factor

$$\frac{29}{2 ^ {2} \cdot 3} = 2\frac{5}{12} = 2.4166666666666665$$