Solve =100000div(1+8%*5)

$$= 100000 \div ( 1 + 8 \% \times 5 )$$

Evaluate

$$\frac{500000}{7}\approx 71428.571428571$$

Solution Steps

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$\frac{100000}{1+\frac{2}{25}\times 5}$$

Express \frac{2}{25}\times 5 as a single fraction.

$$\frac{100000}{1+\frac{2\times 5}{25}}$$

Multiply 2 and 5 to get 10.

$$\frac{100000}{1+\frac{10}{25}}$$

Reduce the fraction \frac{10}{25} to lowest terms by extracting and canceling out 5.

$$\frac{100000}{1+\frac{2}{5}}$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{100000}{\frac{5}{5}+\frac{2}{5}}$$

Since \frac{5}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{100000}{\frac{5+2}{5}}$$

Add 5 and 2 to get 7.

$$\frac{100000}{\frac{7}{5}}$$

Divide 100000 by \frac{7}{5} by multiplying 100000 by the reciprocal of \frac{7}{5}.

$$100000\times \frac{5}{7}$$

Express 100000\times \frac{5}{7} as a single fraction.

$$\frac{100000\times 5}{7}$$

Multiply 100000 and 5 to get 500000.

$$\frac{500000}{7}$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {6}}{7} = 71428\frac{4}{7} = 71428.57142857143$$