Solve 8+3/2/5*3{frac{2/5}}

$$\frac { 8 + \frac { 3 } { 2 } } { 5 \times \frac { 3 } { \frac { 2 } { 5 } } }$$

Evaluate

$$\frac{19}{75}\approx 0.253333333$$

Solution Steps

Convert 8 to fraction \frac{16}{2}.

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

Since \frac{16}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

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

Add 16 and 3 to get 19.

$$\frac{\frac{19}{2}}{5\times \frac{3}{\frac{2}{5}}}$$

Divide 3 by \frac{2}{5} by multiplying 3 by the reciprocal of \frac{2}{5}.

$$\frac{\frac{19}{2}}{5\times 3\times \frac{5}{2}}$$

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

$$\frac{\frac{19}{2}}{5\times \frac{3\times 5}{2}}$$

Multiply 3 and 5 to get 15.

$$\frac{\frac{19}{2}}{5\times \frac{15}{2}}$$

Express 5\times \frac{15}{2} as a single fraction.

$$\frac{\frac{19}{2}}{\frac{5\times 15}{2}}$$

Multiply 5 and 15 to get 75.

$$\frac{\frac{19}{2}}{\frac{75}{2}}$$

Divide \frac{19}{2} by \frac{75}{2} by multiplying \frac{19}{2} by the reciprocal of \frac{75}{2}.

$$\frac{19}{2}\times \frac{2}{75}$$

Multiply \frac{19}{2} times \frac{2}{75} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 2}{2\times 75}$$

Cancel out 2 in both numerator and denominator.

$$\frac{19}{75}$$

Factor

$$\frac{19}{3 \cdot 5 ^ {2}} = 0.25333333333333335$$