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

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

Evaluate

$$\frac{13}{12}\approx 1.083333333$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{1}{4}+\frac{6}{4}-\frac{2}{3}$$

Since \frac{1}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.

$$\frac{1+6}{4}-\frac{2}{3}$$

Add 1 and 6 to get 7.

$$\frac{7}{4}-\frac{2}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{7}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{21}{12}-\frac{8}{12}$$

Since \frac{21}{12} and \frac{8}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-8}{12}$$

Subtract 8 from 21 to get 13.

$$\frac{13}{12}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$