Solve 4/5-1/2-3/4

$$\frac { 4 } { 5 } - \frac { 1 } { 2 } - \frac { 3 } { 4 }$$

Evaluate

$$-\frac{9}{20}=-0.45$$

Solution Steps

Least common multiple of 5 and 2 is 10. Convert \frac{4}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{8}{10}-\frac{5}{10}-\frac{3}{4}$$

Since \frac{8}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-5}{10}-\frac{3}{4}$$

Subtract 5 from 8 to get 3.

$$\frac{3}{10}-\frac{3}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{3}{10} and \frac{3}{4} to fractions with denominator 20.

$$\frac{6}{20}-\frac{15}{20}$$

Since \frac{6}{20} and \frac{15}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-15}{20}$$

Subtract 15 from 6 to get -9.

$$-\frac{9}{20}$$

Factor

$$-\frac{9}{20} = -0.45$$