Solve 131325/frac{frac{frac{frac{frac{frac{frac{frac{545{frac{5135/5424}}{}}{}}{}}{}}{}}{}}{}}}{}

$$\frac{ \frac{ 131325 }{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ 545 }{ \frac{ 5135 }{ 5424 } } }{ } }{ } }{ } }{ } }{ } }{ } }{ } } }{ }$$

Evaluate

$$\frac{44956925}{197072}\approx 228.124365714$$

Solution Steps

Divide 131325 by \frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{545}{\frac{5135}{5424}}}{1}}{1}}{1}}{1}}{1}}{1}}{1} by multiplying 131325 by the reciprocal of \frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{545}{\frac{5135}{5424}}}{1}}{1}}{1}}{1}}{1}}{1}}{1}.

$$\frac{\frac{131325}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{545}{\frac{5135}{5424}}}{1}}{1}}{1}}{1}}{1}}{1}}}{1}$$

Divide 545 by \frac{5135}{5424} by multiplying 545 by the reciprocal of \frac{5135}{5424}.

$$\frac{\frac{131325}{\frac{\frac{\frac{\frac{\frac{\frac{545\times \frac{5424}{5135}}{1}}{1}}{1}}{1}}{1}}{1}}}{1}$$

Express 545\times \frac{5424}{5135} as a single fraction.

$$\frac{\frac{131325}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{545\times 5424}{5135}}{1}}{1}}{1}}{1}}{1}}{1}}}{1}$$

Multiply 545 and 5424 to get 2956080.

$$\frac{\frac{131325}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{2956080}{5135}}{1}}{1}}{1}}{1}}{1}}{1}}}{1}$$

Reduce the fraction \frac{2956080}{5135} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{131325}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{591216}{1027}}{1}}{1}}{1}}{1}}{1}}{1}}}{1}$$

Anything divided by one gives itself.

$$\frac{\frac{131325}{\frac{\frac{\frac{\frac{\frac{\frac{591216}{1027}}{1}}{1}}{1}}{1}}{1}}}{1}$$

Anything divided by one gives itself.

$$\frac{\frac{131325}{\frac{\frac{\frac{\frac{\frac{591216}{1027}}{1}}{1}}{1}}{1}}}{1}$$

Anything divided by one gives itself.

$$\frac{\frac{131325}{\frac{\frac{\frac{\frac{591216}{1027}}{1}}{1}}{1}}}{1}$$

Anything divided by one gives itself.

$$\frac{\frac{131325}{\frac{\frac{\frac{591216}{1027}}{1}}{1}}}{1}$$

Anything divided by one gives itself.

$$\frac{\frac{131325}{\frac{\frac{591216}{1027}}{1}}}{1}$$

Anything divided by one gives itself.

$$\frac{\frac{131325}{\frac{591216}{1027}}}{1}$$

Divide 131325 by \frac{591216}{1027} by multiplying 131325 by the reciprocal of \frac{591216}{1027}.

$$\frac{131325\times \frac{1027}{591216}}{1}$$

Express 131325\times \frac{1027}{591216} as a single fraction.

$$\frac{\frac{131325\times 1027}{591216}}{1}$$

Multiply 131325 and 1027 to get 134870775.

$$\frac{\frac{134870775}{591216}}{1}$$

Reduce the fraction \frac{134870775}{591216} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{44956925}{197072}}{1}$$

Anything divided by one gives itself.

$$\frac{44956925}{197072}$$

Factor

$$\frac{5 ^ {2} \cdot 13 \cdot 17 \cdot 79 \cdot 103}{2 ^ {4} \cdot 109 \cdot 113} = 228\frac{24509}{197072} = 228.12436571405374$$