Solve 27/20-33/4-4/19=?/?

$$\frac { 27 } { 20 } - \frac { 33 } { 4 } - \frac { 4 } { 19 } = ? / ?$$

Evaluate

$$-\frac{1351}{190}\approx -7.110526316$$

Solution Steps

Least common multiple of 20 and 4 is 20. Convert \frac{27}{20} and \frac{33}{4} to fractions with denominator 20.

$$\frac{27}{20}-\frac{165}{20}-\frac{4}{19}$$

Since \frac{27}{20} and \frac{165}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-165}{20}-\frac{4}{19}$$

Subtract 165 from 27 to get -138.

$$\frac{-138}{20}-\frac{4}{19}$$

Reduce the fraction \frac{-138}{20} to lowest terms by extracting and canceling out 2.

$$-\frac{69}{10}-\frac{4}{19}$$

Least common multiple of 10 and 19 is 190. Convert -\frac{69}{10} and \frac{4}{19} to fractions with denominator 190.

$$-\frac{1311}{190}-\frac{40}{190}$$

Since -\frac{1311}{190} and \frac{40}{190} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1311-40}{190}$$

Subtract 40 from -1311 to get -1351.

$$-\frac{1351}{190}$$

Factor

$$-\frac{1351}{190} = -7\frac{21}{190} = -7.110526315789474$$