Solve 100000/(1+4.02%)=

$$100000 / ( 1 + 4.02 \% ) =$$

Evaluate

$$\frac{500000000}{5201}\approx 96135.358584888$$

Solution Steps

Expand \frac{4.02}{100} by multiplying both numerator and the denominator by 100.

$$\frac{100000}{1+\frac{402}{10000}}$$

Reduce the fraction \frac{402}{10000} to lowest terms by extracting and canceling out 2.

$$\frac{100000}{1+\frac{201}{5000}}$$

Convert 1 to fraction \frac{5000}{5000}.

$$\frac{100000}{\frac{5000}{5000}+\frac{201}{5000}}$$

Since \frac{5000}{5000} and \frac{201}{5000} have the same denominator, add them by adding their numerators.

$$\frac{100000}{\frac{5000+201}{5000}}$$

Add 5000 and 201 to get 5201.

$$\frac{100000}{\frac{5201}{5000}}$$

Divide 100000 by \frac{5201}{5000} by multiplying 100000 by the reciprocal of \frac{5201}{5000}.

$$100000\times \frac{5000}{5201}$$

Express 100000\times \frac{5000}{5201} as a single fraction.

$$\frac{100000\times 5000}{5201}$$

Multiply 100000 and 5000 to get 500000000.

$$\frac{500000000}{5201}$$

Factor

$$\frac{2 ^ {8} \cdot 5 ^ {9}}{7 \cdot 743} = 96135\frac{1865}{5201} = 96135.35858488752$$