Solve -1/2+1/4+17/20

$$\frac { - 1 } { 2 } + \frac { 1 } { 4 } + \frac { 17 } { 20 }$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$-\frac{1}{2}+\frac{1}{4}+\frac{17}{20}$$

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

$$-\frac{2}{4}+\frac{1}{4}+\frac{17}{20}$$

Since -\frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{-2+1}{4}+\frac{17}{20}$$

Add -2 and 1 to get -1.

$$-\frac{1}{4}+\frac{17}{20}$$

Least common multiple of 4 and 20 is 20. Convert -\frac{1}{4} and \frac{17}{20} to fractions with denominator 20.

$$-\frac{5}{20}+\frac{17}{20}$$

Since -\frac{5}{20} and \frac{17}{20} have the same denominator, add them by adding their numerators.

$$\frac{-5+17}{20}$$

Add -5 and 17 to get 12.

$$\frac{12}{20}$$

Reduce the fraction \frac{12}{20} to lowest terms by extracting and canceling out 4.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$