Solve 9/5-3/4-9/5-11/4

$$\frac { 9 } { 5 } - \frac { 3 } { 4 } - \frac { 9 } { 5 } - \frac { 11 } { 4 }$$

Evaluate

$$-\frac{7}{2}=-3.5$$

Solution Steps

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

$$\frac{36}{20}-\frac{15}{20}-\frac{9}{5}-\frac{11}{4}$$

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

$$\frac{36-15}{20}-\frac{9}{5}-\frac{11}{4}$$

Subtract 15 from 36 to get 21.

$$\frac{21}{20}-\frac{9}{5}-\frac{11}{4}$$

Least common multiple of 20 and 5 is 20. Convert \frac{21}{20} and \frac{9}{5} to fractions with denominator 20.

$$\frac{21}{20}-\frac{36}{20}-\frac{11}{4}$$

Since \frac{21}{20} and \frac{36}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-36}{20}-\frac{11}{4}$$

Subtract 36 from 21 to get -15.

$$\frac{-15}{20}-\frac{11}{4}$$

Reduce the fraction \frac{-15}{20} to lowest terms by extracting and canceling out 5.

$$-\frac{3}{4}-\frac{11}{4}$$

Since -\frac{3}{4} and \frac{11}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-11}{4}$$

Subtract 11 from -3 to get -14.

$$\frac{-14}{4}$$

Reduce the fraction \frac{-14}{4} to lowest terms by extracting and canceling out 2.

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

Factor

$$-\frac{7}{2} = -3\frac{1}{2} = -3.5$$