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

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

Evaluate

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

Solution Steps

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

$$\frac{16}{20}-\frac{15}{20}-\frac{1}{2}$$

Since \frac{16}{20} and \frac{15}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-15}{20}-\frac{1}{2}$$

Subtract 15 from 16 to get 1.

$$\frac{1}{20}-\frac{1}{2}$$

Least common multiple of 20 and 2 is 20. Convert \frac{1}{20} and \frac{1}{2} to fractions with denominator 20.

$$\frac{1}{20}-\frac{10}{20}$$

Since \frac{1}{20} and \frac{10}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-10}{20}$$

Subtract 10 from 1 to get -9.

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

Factor

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