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

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

Evaluate

$$\frac{18}{5}=3.6$$

Solution Steps

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

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

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

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

Multiply 6 and 3 to get 18.

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

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

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

Multiply 5 and 5 to get 25.

$$\frac{18}{25}\times 5$$

Express \frac{18}{25}\times 5 as a single fraction.

$$\frac{18\times 5}{25}$$

Multiply 18 and 5 to get 90.

$$\frac{90}{25}$$

Reduce the fraction \frac{90}{25} to lowest terms by extracting and canceling out 5.

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

Factor

$$\frac{2 \cdot 3 ^ {2}}{5} = 3\frac{3}{5} = 3.6$$