Solve 1/2+2/3-7/4

$$\frac { 1 } { 2 } + \frac { 2 } { 3 } - \frac { 7 } { 4 }$$

Evaluate

$$-\frac{7}{12}\approx -0.583333333$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{4}{6}-\frac{7}{4}$$

Since \frac{3}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+4}{6}-\frac{7}{4}$$

Add 3 and 4 to get 7.

$$\frac{7}{6}-\frac{7}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{7}{6} and \frac{7}{4} to fractions with denominator 12.

$$\frac{14}{12}-\frac{21}{12}$$

Since \frac{14}{12} and \frac{21}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-21}{12}$$

Subtract 21 from 14 to get -7.

$$-\frac{7}{12}$$

Factor

$$-\frac{7}{12} = -0.5833333333333334$$