Solve 29150((0.0308div12)/1-(frac{1{1+(0.0308div12)}}

$$29150( \frac{ (0.0308 \div 12) }{ 1-( \frac{ 1 }{ 1+(0.0308 \div 12) } }$$

Evaluate

$$\frac{17534891}{600}\approx 29224.818333333$$

Solution Steps

Expand \frac{0.0308}{12} by multiplying both numerator and the denominator by 10000.

$$29150\times \frac{\frac{308}{120000}}{1-\frac{1}{1+\frac{0.0308}{12}}}$$

Reduce the fraction \frac{308}{120000} to lowest terms by extracting and canceling out 4.

$$29150\times \frac{\frac{77}{30000}}{1-\frac{1}{1+\frac{0.0308}{12}}}$$

Expand \frac{0.0308}{12} by multiplying both numerator and the denominator by 10000.

$$29150\times \frac{\frac{77}{30000}}{1-\frac{1}{1+\frac{308}{120000}}}$$

Reduce the fraction \frac{308}{120000} to lowest terms by extracting and canceling out 4.

$$29150\times \frac{\frac{77}{30000}}{1-\frac{1}{1+\frac{77}{30000}}}$$

Convert 1 to fraction \frac{30000}{30000}.

$$29150\times \frac{\frac{77}{30000}}{1-\frac{1}{\frac{30000}{30000}+\frac{77}{30000}}}$$

Since \frac{30000}{30000} and \frac{77}{30000} have the same denominator, add them by adding their numerators.

$$29150\times \frac{\frac{77}{30000}}{1-\frac{1}{\frac{30000+77}{30000}}}$$

Add 30000 and 77 to get 30077.

$$29150\times \frac{\frac{77}{30000}}{1-\frac{1}{\frac{30077}{30000}}}$$

Divide 1 by \frac{30077}{30000} by multiplying 1 by the reciprocal of \frac{30077}{30000}.

$$29150\times \frac{\frac{77}{30000}}{1-1\times \frac{30000}{30077}}$$

Multiply 1 and \frac{30000}{30077} to get \frac{30000}{30077}.

$$29150\times \frac{\frac{77}{30000}}{1-\frac{30000}{30077}}$$

Convert 1 to fraction \frac{30077}{30077}.

$$29150\times \frac{\frac{77}{30000}}{\frac{30077}{30077}-\frac{30000}{30077}}$$

Since \frac{30077}{30077} and \frac{30000}{30077} have the same denominator, subtract them by subtracting their numerators.

$$29150\times \frac{\frac{77}{30000}}{\frac{30077-30000}{30077}}$$

Subtract 30000 from 30077 to get 77.

$$29150\times \frac{\frac{77}{30000}}{\frac{77}{30077}}$$

Divide \frac{77}{30000} by \frac{77}{30077} by multiplying \frac{77}{30000} by the reciprocal of \frac{77}{30077}.

$$29150\times \frac{77}{30000}\times \frac{30077}{77}$$

Multiply \frac{77}{30000} times \frac{30077}{77} by multiplying numerator times numerator and denominator times denominator.

$$29150\times \frac{77\times 30077}{30000\times 77}$$

Cancel out 77 in both numerator and denominator.

$$29150\times \frac{30077}{30000}$$

Express 29150\times \frac{30077}{30000} as a single fraction.

$$\frac{29150\times 30077}{30000}$$

Multiply 29150 and 30077 to get 876744550.

$$\frac{876744550}{30000}$$

Reduce the fraction \frac{876744550}{30000} to lowest terms by extracting and canceling out 50.

$$\frac{17534891}{600}$$

Factor

$$\frac{11 \cdot 19 \cdot 53 \cdot 1583}{3 \cdot 2 ^ {3} \cdot 5 ^ {2}} = 29224\frac{491}{600} = 29224.818333333333$$