Solve 2-5/6:(1/2+1/3)

$$2 - \frac { 5 } { 6 } : ( \frac { 1 } { 2 } + \frac { 1 } { 3 } )$$

Evaluate

$$1$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

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

Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

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

Add 3 and 2 to get 5.

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

Divide \frac{5}{6} by \frac{5}{6} to get 1.

$$2-1$$

Subtract 1 from 2 to get 1.

$$1$$

Factor

$$1$$