Solve 2*(755/1502-1/2)

$$2 \cdot ( \frac { 755 } { 1502 } - \frac { 1 } { 2 } )$$

Evaluate

$$\frac{4}{751}\approx 0.005326232$$

Solution Steps

Least common multiple of 1502 and 2 is 1502. Convert \frac{755}{1502} and \frac{1}{2} to fractions with denominator 1502.

$$2\left(\frac{755}{1502}-\frac{751}{1502}\right)$$

Since \frac{755}{1502} and \frac{751}{1502} have the same denominator, subtract them by subtracting their numerators.

$$2\times \frac{755-751}{1502}$$

Subtract 751 from 755 to get 4.

$$2\times \frac{4}{1502}$$

Reduce the fraction \frac{4}{1502} to lowest terms by extracting and canceling out 2.

$$2\times \frac{2}{751}$$

Express 2\times \frac{2}{751} as a single fraction.

$$\frac{2\times 2}{751}$$

Multiply 2 and 2 to get 4.

$$\frac{4}{751}$$

Factor

$$\frac{2 ^ {2}}{751} = 0.005326231691078562$$