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

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

Evaluate

$$4$$

Solution Steps

Calculate \frac{1}{2} to the power of -1 and get 2.

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

Multiply \frac{8}{15} and 2 to get \frac{16}{15}.

$$\frac{16}{15}+\frac{5}{3}\times \frac{4}{2}-\frac{2}{5}$$

Divide 4 by 2 to get 2.

$$\frac{16}{15}+\frac{5}{3}\times 2-\frac{2}{5}$$

Multiply \frac{5}{3} and 2 to get \frac{10}{3}.

$$\frac{16}{15}+\frac{10}{3}-\frac{2}{5}$$

Add \frac{16}{15} and \frac{10}{3} to get \frac{22}{5}.

$$\frac{22}{5}-\frac{2}{5}$$

Subtract \frac{2}{5} from \frac{22}{5} to get 4.

$$4$$

Factor

$$2^{2}$$