Solve 14/5-3/4-7/10-11/20

$$1 \frac { 4 } { 5 } - \frac { 3 } { 4 } - \frac { 7 } { 10 } - \frac { 11 } { 20 }$$

Evaluate

$$-\frac{1}{5}=-0.2$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{5+4}{5}-\frac{3}{4}-\frac{7}{10}-\frac{11}{20}$$

Add 5 and 4 to get 9.

$$\frac{9}{5}-\frac{3}{4}-\frac{7}{10}-\frac{11}{20}$$

Least common multiple of 5 and 4 is 20. Convert \frac{9}{5} and \frac{3}{4} to fractions with denominator 20.

$$\frac{36}{20}-\frac{15}{20}-\frac{7}{10}-\frac{11}{20}$$

Since \frac{36}{20} and \frac{15}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-15}{20}-\frac{7}{10}-\frac{11}{20}$$

Subtract 15 from 36 to get 21.

$$\frac{21}{20}-\frac{7}{10}-\frac{11}{20}$$

Least common multiple of 20 and 10 is 20. Convert \frac{21}{20} and \frac{7}{10} to fractions with denominator 20.

$$\frac{21}{20}-\frac{14}{20}-\frac{11}{20}$$

Since \frac{21}{20} and \frac{14}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-14}{20}-\frac{11}{20}$$

Subtract 14 from 21 to get 7.

$$\frac{7}{20}-\frac{11}{20}$$

Since \frac{7}{20} and \frac{11}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-11}{20}$$

Subtract 11 from 7 to get -4.

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

Reduce the fraction \frac{-4}{20} to lowest terms by extracting and canceling out 4.

$$-\frac{1}{5}$$

Factor

$$-\frac{1}{5} = -0.2$$