Solve 0,333+1/2-(2/3div2)

$$0,333 + \frac { 1 } { 2 } - ( \frac { 2 } { 3 } \div 2 )$$

Evaluate

$$\frac{1499}{3000}\approx 0,499666667$$

Solution Steps

Convert decimal number 0,333 to fraction \frac{333}{1000}.

$$\frac{333}{1000}+\frac{1}{2}-\frac{\frac{2}{3}}{2}$$

Least common multiple of 1000 and 2 is 1000. Convert \frac{333}{1000} and \frac{1}{2} to fractions with denominator 1000.

$$\frac{333}{1000}+\frac{500}{1000}-\frac{\frac{2}{3}}{2}$$

Since \frac{333}{1000} and \frac{500}{1000} have the same denominator, add them by adding their numerators.

$$\frac{333+500}{1000}-\frac{\frac{2}{3}}{2}$$

Add 333 and 500 to get 833.

$$\frac{833}{1000}-\frac{\frac{2}{3}}{2}$$

Express \frac{\frac{2}{3}}{2} as a single fraction.

$$\frac{833}{1000}-\frac{2}{3\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{833}{1000}-\frac{1}{3}$$

Least common multiple of 1000 and 3 is 3000. Convert \frac{833}{1000} and \frac{1}{3} to fractions with denominator 3000.

$$\frac{2499}{3000}-\frac{1000}{3000}$$

Since \frac{2499}{3000} and \frac{1000}{3000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2499-1000}{3000}$$

Subtract 1000 from 2499 to get 1499.

$$\frac{1499}{3000}$$

Factor

$$\frac{1499}{3 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 0.49966666666666665$$