Solve 1/2-5/6+4/5

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

Evaluate

$$\frac{7}{15}\approx 0.466666667$$

Solution Steps

Least common multiple of 2 and 6 is 6. Convert \frac{1}{2} and \frac{5}{6} to fractions with denominator 6.

$$\frac{3}{6}-\frac{5}{6}+\frac{4}{5}$$

Since \frac{3}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-5}{6}+\frac{4}{5}$$

Subtract 5 from 3 to get -2.

$$\frac{-2}{6}+\frac{4}{5}$$

Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 3 and 5 is 15. Convert -\frac{1}{3} and \frac{4}{5} to fractions with denominator 15.

$$-\frac{5}{15}+\frac{12}{15}$$

Since -\frac{5}{15} and \frac{12}{15} have the same denominator, add them by adding their numerators.

$$\frac{-5+12}{15}$$

Add -5 and 12 to get 7.

$$\frac{7}{15}$$

Factor

$$\frac{7}{3 \cdot 5} = 0.4666666666666667$$