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

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

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

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

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

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

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

Subtract 16 from 3 to get -13.

$$-\frac{13}{12}+\frac{3}{2}$$

Least common multiple of 12 and 2 is 12. Convert -\frac{13}{12} and \frac{3}{2} to fractions with denominator 12.

$$-\frac{13}{12}+\frac{18}{12}$$

Since -\frac{13}{12} and \frac{18}{12} have the same denominator, add them by adding their numerators.

$$\frac{-13+18}{12}$$

Add -13 and 18 to get 5.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$