Solve -6-3/20+4/5-7/12

$$- 6 - \frac { 3 } { 20 } + \frac { 4 } { 5 } - \frac { 7 } { 12 }$$

Evaluate

$$-\frac{89}{15}\approx -5.933333333$$

Solution Steps

Convert -6 to fraction -\frac{120}{20}.

$$-\frac{120}{20}-\frac{3}{20}+\frac{4}{5}-\frac{7}{12}$$

Since -\frac{120}{20} and \frac{3}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-120-3}{20}+\frac{4}{5}-\frac{7}{12}$$

Subtract 3 from -120 to get -123.

$$-\frac{123}{20}+\frac{4}{5}-\frac{7}{12}$$

Least common multiple of 20 and 5 is 20. Convert -\frac{123}{20} and \frac{4}{5} to fractions with denominator 20.

$$-\frac{123}{20}+\frac{16}{20}-\frac{7}{12}$$

Since -\frac{123}{20} and \frac{16}{20} have the same denominator, add them by adding their numerators.

$$\frac{-123+16}{20}-\frac{7}{12}$$

Add -123 and 16 to get -107.

$$-\frac{107}{20}-\frac{7}{12}$$

Least common multiple of 20 and 12 is 60. Convert -\frac{107}{20} and \frac{7}{12} to fractions with denominator 60.

$$-\frac{321}{60}-\frac{35}{60}$$

Since -\frac{321}{60} and \frac{35}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-321-35}{60}$$

Subtract 35 from -321 to get -356.

$$\frac{-356}{60}$$

Reduce the fraction \frac{-356}{60} to lowest terms by extracting and canceling out 4.

$$-\frac{89}{15}$$

Factor

$$-\frac{89}{15} = -5\frac{14}{15} = -5.933333333333334$$