Solve 5/5{5/5{frac{5/frac{5{frac{5/frac{5{frac{5}{frac{5}{frac{5}{frac{5}{5}}}}}}}}}}}}

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

Evaluate

$$5$$

Solution Steps

Divide 5 by 5 to get 1.

$$\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{1}}}}}}}}}}}$$

Divide 5 by \frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{1}}}}}}}}}} by multiplying 5 by the reciprocal of \frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{1}}}}}}}}}}.

$$\frac{5\times \frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{1}}}}}}}}}}{5}$$

Cancel out 5 and 5.

$$\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{1}}}}}}}}}$$

Divide 5 by \frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{1}}}}}}} by multiplying 5 by the reciprocal of \frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{1}}}}}}}.

$$\frac{5}{\frac{5\times \frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{1}}}}}}}{5}}$$

Cancel out 5 and 5.

$$\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{1}}}}}}}$$

Divide 5 by \frac{5}{\frac{5}{\frac{5}{\frac{5}{1}}}} by multiplying 5 by the reciprocal of \frac{5}{\frac{5}{\frac{5}{\frac{5}{1}}}}.

$$\frac{5}{\frac{5}{\frac{5\times \frac{5}{\frac{5}{\frac{5}{1}}}}{5}}}$$

Cancel out 5 and 5.

$$\frac{5}{\frac{5}{\frac{5}{\frac{5}{\frac{5}{1}}}}}$$

Divide 5 by \frac{5}{1} by multiplying 5 by the reciprocal of \frac{5}{1}.

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

Divide 5 by 5 to get 1.

$$\frac{5}{\frac{5}{\frac{5}{1}}}$$

Anything divided by one gives itself.

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

Divide 5 by 5 to get 1.

$$\frac{5}{1}$$

Anything divided by one gives itself.

$$5$$

Factor

$$5$$