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

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

Evaluate

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

Solution Steps

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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

Least common multiple of 5 and 2 is 10. Convert \frac{4}{5} and \frac{3}{2} to fractions with denominator 10.

$$\frac{8}{10}-\frac{15}{10}+\frac{1}{4}$$

Since \frac{8}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-15}{10}+\frac{1}{4}$$

Subtract 15 from 8 to get -7.

$$-\frac{7}{10}+\frac{1}{4}$$

Least common multiple of 10 and 4 is 20. Convert -\frac{7}{10} and \frac{1}{4} to fractions with denominator 20.

$$-\frac{14}{20}+\frac{5}{20}$$

Since -\frac{14}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{-14+5}{20}$$

Add -14 and 5 to get -9.

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

Factor

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