Solve 2/5:6/10-2*(1-8/10)

$$\frac { 2 } { 5 } : \frac { 6 } { 10 } - 2 \cdot ( 1 - \frac { 8 } { 10 } )$$

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

Divide \frac{2}{5} by \frac{6}{10} by multiplying \frac{2}{5} by the reciprocal of \frac{6}{10}.

$$\frac{2\times 10}{5\times 6}-2\left(1-\frac{8}{10}\right)$$

Cancel out 2\times 5 in both numerator and denominator.

$$\frac{2}{3}-2\left(1-\frac{8}{10}\right)$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}-2\left(1-\frac{4}{5}\right)$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{2}{3}-2\left(\frac{5}{5}-\frac{4}{5}\right)$$

Since \frac{5}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}-2\times \frac{5-4}{5}$$

Subtract 4 from 5 to get 1.

$$\frac{2}{3}-2\times \frac{1}{5}$$

Multiply 2 and \frac{1}{5} to get \frac{2}{5}.

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

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{2}{5} to fractions with denominator 15.

$$\frac{10}{15}-\frac{6}{15}$$

Since \frac{10}{15} and \frac{6}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-6}{15}$$

Subtract 6 from 10 to get 4.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$