Solve 50001/1.04/1-frac{1{1.04}}

$$\frac{ 5000 \frac{ 1 }{ 1.04 } }{ 1- \frac{ 1 }{ 1.04 } }$$

Evaluate

$$130025$$

Solution Steps

Multiply 5000 and 1.04 to get 5200.

$$\frac{\frac{5200+1}{1.04}}{1-\frac{1}{1.04}}$$

Add 5200 and 1 to get 5201.

$$\frac{\frac{5201}{1.04}}{1-\frac{1}{1.04}}$$

Expand \frac{5201}{1.04} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{520100}{104}}{1-\frac{1}{1.04}}$$

Reduce the fraction \frac{520100}{104} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{130025}{26}}{1-\frac{1}{1.04}}$$

Expand \frac{1}{1.04} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{130025}{26}}{1-\frac{100}{104}}$$

Reduce the fraction \frac{100}{104} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{130025}{26}}{1-\frac{25}{26}}$$

Convert 1 to fraction \frac{26}{26}.

$$\frac{\frac{130025}{26}}{\frac{26}{26}-\frac{25}{26}}$$

Since \frac{26}{26} and \frac{25}{26} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{130025}{26}}{\frac{26-25}{26}}$$

Subtract 25 from 26 to get 1.

$$\frac{\frac{130025}{26}}{\frac{1}{26}}$$

Divide \frac{130025}{26} by \frac{1}{26} by multiplying \frac{130025}{26} by the reciprocal of \frac{1}{26}.

$$\frac{130025}{26}\times 26$$

Cancel out 26 and 26.

$$130025$$

Factor

$$7\times 743\times 5^{2}$$