Solve -0.25+5/6+2/3-0.5

$$- 0.25 + \frac { 5 } { 6 } + \frac { 2 } { 3 } - 0.5$$

Evaluate

$$0.75$$

Solution Steps

Convert decimal number -0.25 to fraction -\frac{25}{100}. Reduce the fraction -\frac{25}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{1}{4}+\frac{5}{6}+\frac{2}{3}-0.5$$

Least common multiple of 4 and 6 is 12. Convert -\frac{1}{4} and \frac{5}{6} to fractions with denominator 12.

$$-\frac{3}{12}+\frac{10}{12}+\frac{2}{3}-0.5$$

Since -\frac{3}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{-3+10}{12}+\frac{2}{3}-0.5$$

Add -3 and 10 to get 7.

$$\frac{7}{12}+\frac{2}{3}-0.5$$

Least common multiple of 12 and 3 is 12. Convert \frac{7}{12} and \frac{2}{3} to fractions with denominator 12.

$$\frac{7}{12}+\frac{8}{12}-0.5$$

Since \frac{7}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{7+8}{12}-0.5$$

Add 7 and 8 to get 15.

$$\frac{15}{12}-0.5$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$\frac{5}{4}-0.5$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

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

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

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

Since \frac{5}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 5 to get 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$