Solve 7/6-3/4-7/8-5/24=

$$\frac { 7 } { 6 } - \frac { 3 } { 4 } - \frac { 7 } { 8 } - \frac { 5 } { 24 } =$$

Evaluate

$$-\frac{2}{3}\approx -0.666666667$$

Solution Steps

Least common multiple of 6 and 4 is 12. Convert \frac{7}{6} and \frac{3}{4} to fractions with denominator 12.

$$\frac{14}{12}-\frac{9}{12}-\frac{7}{8}-\frac{5}{24}$$

Since \frac{14}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-9}{12}-\frac{7}{8}-\frac{5}{24}$$

Subtract 9 from 14 to get 5.

$$\frac{5}{12}-\frac{7}{8}-\frac{5}{24}$$

Least common multiple of 12 and 8 is 24. Convert \frac{5}{12} and \frac{7}{8} to fractions with denominator 24.

$$\frac{10}{24}-\frac{21}{24}-\frac{5}{24}$$

Since \frac{10}{24} and \frac{21}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-21}{24}-\frac{5}{24}$$

Subtract 21 from 10 to get -11.

$$-\frac{11}{24}-\frac{5}{24}$$

Since -\frac{11}{24} and \frac{5}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-11-5}{24}$$

Subtract 5 from -11 to get -16.

$$\frac{-16}{24}$$

Reduce the fraction \frac{-16}{24} to lowest terms by extracting and canceling out 8.

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

Factor

$$-\frac{2}{3} = -0.6666666666666666$$