Solve 2/3div(1-50%-25%)

$$\frac{ 2 }{ 3 } \div (1-50 \% -25 \% )$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Reduce the fraction \frac{50}{100} to lowest terms by extracting and canceling out 50.

$$\frac{\frac{2}{3}}{1-\frac{1}{2}-\frac{25}{100}}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{\frac{2}{3}}{\frac{2}{2}-\frac{1}{2}-\frac{25}{100}}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{2}{3}}{\frac{2-1}{2}-\frac{25}{100}}$$

Subtract 1 from 2 to get 1.

$$\frac{\frac{2}{3}}{\frac{1}{2}-\frac{25}{100}}$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{2}{3}}{\frac{1}{2}-\frac{1}{4}}$$

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

$$\frac{\frac{2}{3}}{\frac{2}{4}-\frac{1}{4}}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{2}{3}}{\frac{2-1}{4}}$$

Subtract 1 from 2 to get 1.

$$\frac{\frac{2}{3}}{\frac{1}{4}}$$

Divide \frac{2}{3} by \frac{1}{4} by multiplying \frac{2}{3} by the reciprocal of \frac{1}{4}.

$$\frac{2}{3}\times 4$$

Express \frac{2}{3}\times 4 as a single fraction.

$$\frac{2\times 4}{3}$$

Multiply 2 and 4 to get 8.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$