Solve 8/15*(1/2)+5/3*4/2-frac{2}{5}=

$$\frac { 8 } { 15 } \cdot ( \frac { 1 } { 2 } ) + \frac { 5 } { 3 } \cdot \frac { 4 } { 2 } - \frac { 2 } { 5 } =$$

Evaluate

$$\frac{16}{5}=3.2$$

Solution Steps

Multiply \frac{8}{15} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 1}{15\times 2}+\frac{5}{3}\times \frac{4}{2}-\frac{2}{5}$$

Do the multiplications in the fraction \frac{8\times 1}{15\times 2}.

$$\frac{8}{30}+\frac{5}{3}\times \frac{4}{2}-\frac{2}{5}$$

Reduce the fraction \frac{8}{30} to lowest terms by extracting and canceling out 2.

$$\frac{4}{15}+\frac{5}{3}\times \frac{4}{2}-\frac{2}{5}$$

Divide 4 by 2 to get 2.

$$\frac{4}{15}+\frac{5}{3}\times 2-\frac{2}{5}$$

Express \frac{5}{3}\times 2 as a single fraction.

$$\frac{4}{15}+\frac{5\times 2}{3}-\frac{2}{5}$$

Multiply 5 and 2 to get 10.

$$\frac{4}{15}+\frac{10}{3}-\frac{2}{5}$$

Least common multiple of 15 and 3 is 15. Convert \frac{4}{15} and \frac{10}{3} to fractions with denominator 15.

$$\frac{4}{15}+\frac{50}{15}-\frac{2}{5}$$

Since \frac{4}{15} and \frac{50}{15} have the same denominator, add them by adding their numerators.

$$\frac{4+50}{15}-\frac{2}{5}$$

Add 4 and 50 to get 54.

$$\frac{54}{15}-\frac{2}{5}$$

Reduce the fraction \frac{54}{15} to lowest terms by extracting and canceling out 3.

$$\frac{18}{5}-\frac{2}{5}$$

Since \frac{18}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-2}{5}$$

Subtract 2 from 18 to get 16.

$$\frac{16}{5}$$

Factor

$$\frac{2 ^ {4}}{5} = 3\frac{1}{5} = 3.2$$