Solve -4/5+(1/4-1/2)

$$- \frac{ 4 }{ 5 } +( \frac{ 1 }{ 4 } - \frac{ 1 }{ 2 } )$$

Evaluate

$$-\frac{21}{20}=-1.05$$

Solution Steps

Least common multiple of 5 and 4 is 20. Convert -\frac{4}{5} and \frac{1}{4} to fractions with denominator 20.

$$-\frac{16}{20}+\frac{5}{20}-\frac{1}{2}$$

Since -\frac{16}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{-16+5}{20}-\frac{1}{2}$$

Add -16 and 5 to get -11.

$$-\frac{11}{20}-\frac{1}{2}$$

Least common multiple of 20 and 2 is 20. Convert -\frac{11}{20} and \frac{1}{2} to fractions with denominator 20.

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

Since -\frac{11}{20} and \frac{10}{20} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 10 from -11 to get -21.

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

Factor

$$-\frac{21}{20} = -1\frac{1}{20} = -1.05$$