Solve 1-(1/5+2/3*4/5)

$$1 - ( \frac { 1 } { 5 } + \frac { 2 } { 3 } \times \frac { 4 } { 5 } )$$

Evaluate

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

Solution Steps

Multiply \frac{2}{3} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{2\times 4}{3\times 5}.

$$1-\left(\frac{1}{5}+\frac{8}{15}\right)$$

Least common multiple of 5 and 15 is 15. Convert \frac{1}{5} and \frac{8}{15} to fractions with denominator 15.

$$1-\left(\frac{3}{15}+\frac{8}{15}\right)$$

Since \frac{3}{15} and \frac{8}{15} have the same denominator, add them by adding their numerators.

$$1-\frac{3+8}{15}$$

Add 3 and 8 to get 11.

$$1-\frac{11}{15}$$

Convert 1 to fraction \frac{15}{15}.

$$\frac{15}{15}-\frac{11}{15}$$

Since \frac{15}{15} and \frac{11}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-11}{15}$$

Subtract 11 from 15 to get 4.

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

Factor

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