Solve (2/3)(1/5)-(-2/3)

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

Evaluate

$$\frac{4}{5}=0.8$$

Solution Steps

Multiply \frac{2}{3} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{2\times 1}{3\times 5}.

$$\frac{2}{15}-\left(-\frac{2}{3}\right)$$

The opposite of -\frac{2}{3} is \frac{2}{3}.

$$\frac{2}{15}+\frac{2}{3}$$

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

$$\frac{2}{15}+\frac{10}{15}$$

Since \frac{2}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$\frac{2+10}{15}$$

Add 2 and 10 to get 12.

$$\frac{12}{15}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$