Solve 45121112/12{2/frac{22245{frac{575/5454}}}}

$$\frac{ 45121112 }{ \frac{ 12 }{ \frac{ 2 }{ \frac{ 22245 }{ \frac{ 575 }{ 5454 } } } } }$$

Evaluate

$$\frac{1297231970}{36397269}\approx 35.640914982$$

Solution Steps

Divide 45121112 by \frac{12}{\frac{2}{\frac{22245}{\frac{575}{5454}}}} by multiplying 45121112 by the reciprocal of \frac{12}{\frac{2}{\frac{22245}{\frac{575}{5454}}}}.

$$\frac{45121112\times \frac{2}{\frac{22245}{\frac{575}{5454}}}}{12}$$

Divide 2 by \frac{22245}{\frac{575}{5454}} by multiplying 2 by the reciprocal of \frac{22245}{\frac{575}{5454}}.

$$\frac{45121112\times \frac{2\times \frac{575}{5454}}{22245}}{12}$$

Express 2\times \frac{575}{5454} as a single fraction.

$$\frac{45121112\times \frac{\frac{2\times 575}{5454}}{22245}}{12}$$

Multiply 2 and 575 to get 1150.

$$\frac{45121112\times \frac{\frac{1150}{5454}}{22245}}{12}$$

Reduce the fraction \frac{1150}{5454} to lowest terms by extracting and canceling out 2.

$$\frac{45121112\times \frac{\frac{575}{2727}}{22245}}{12}$$

Express \frac{\frac{575}{2727}}{22245} as a single fraction.

$$\frac{45121112\times \frac{575}{2727\times 22245}}{12}$$

Multiply 2727 and 22245 to get 60662115.

$$\frac{45121112\times \frac{575}{60662115}}{12}$$

Reduce the fraction \frac{575}{60662115} to lowest terms by extracting and canceling out 5.

$$\frac{45121112\times \frac{115}{12132423}}{12}$$

Express 45121112\times \frac{115}{12132423} as a single fraction.

$$\frac{\frac{45121112\times 115}{12132423}}{12}$$

Multiply 45121112 and 115 to get 5188927880.

$$\frac{\frac{5188927880}{12132423}}{12}$$

Express \frac{\frac{5188927880}{12132423}}{12} as a single fraction.

$$\frac{5188927880}{12132423\times 12}$$

Multiply 12132423 and 12 to get 145589076.

$$\frac{5188927880}{145589076}$$

Reduce the fraction \frac{5188927880}{145589076} to lowest terms by extracting and canceling out 4.

$$\frac{1297231970}{36397269}$$

Factor

$$\frac{2 \cdot 5 \cdot 23 \cdot 503 \cdot 11213}{3 ^ {5} \cdot 101 \cdot 1483} = 35\frac{23327555}{36397269} = 35.640914981835586$$