Solve 7/4-7/6-7/2

$$\frac{ 7 }{ 4 } - \frac{ 7 }{ 6 } - \frac{ 7 }{ 2 }$$

Evaluate

$$-\frac{35}{12}\approx -2.916666667$$

Solution Steps

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

$$\frac{21}{12}-\frac{14}{12}-\frac{7}{2}$$

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

$$\frac{21-14}{12}-\frac{7}{2}$$

Subtract 14 from 21 to get 7.

$$\frac{7}{12}-\frac{7}{2}$$

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

$$\frac{7}{12}-\frac{42}{12}$$

Since \frac{7}{12} and \frac{42}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-42}{12}$$

Subtract 42 from 7 to get -35.

$$-\frac{35}{12}$$

Factor

$$-\frac{35}{12} = -2\frac{11}{12} = -2.9166666666666665$$