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

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

Evaluate

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

Solution Steps

Least common multiple of 3 and 2 is 6. Convert -\frac{4}{3} and \frac{3}{2} to fractions with denominator 6.

$$-\frac{8}{6}+\frac{9}{6}+\frac{1}{4}$$

Since -\frac{8}{6} and \frac{9}{6} have the same denominator, add them by adding their numerators.

$$\frac{-8+9}{6}+\frac{1}{4}$$

Add -8 and 9 to get 1.

$$\frac{1}{6}+\frac{1}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{1}{6} and \frac{1}{4} to fractions with denominator 12.

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

Since \frac{2}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

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

Add 2 and 3 to get 5.

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

Factor

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