Solve 6/5{frac{3/5}}

$$\frac{ 6 }{ \frac{ 5 }{ \frac{ 3 }{ 5 } } }$$

Evaluate

$$\frac{18}{25}=0.72$$

Solution Steps

Divide 6 by \frac{5}{\frac{3}{5}} by multiplying 6 by the reciprocal of \frac{5}{\frac{3}{5}}.

$$\frac{6\times \frac{3}{5}}{5}$$

Express 6\times \frac{3}{5} as a single fraction.

$$\frac{\frac{6\times 3}{5}}{5}$$

Multiply 6 and 3 to get 18.

$$\frac{\frac{18}{5}}{5}$$

Express \frac{\frac{18}{5}}{5} as a single fraction.

$$\frac{18}{5\times 5}$$

Multiply 5 and 5 to get 25.

$$\frac{18}{25}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{5 ^ {2}} = 0.72$$