Solve 200/1+(10^-4*20)

$$\frac { 200 } { 1 + ( 10 ^ { - 4 } \times 20 ) }$$

Evaluate

$$\frac{100000}{501}\approx 199.600798403$$

Solution Steps

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{200}{1+\frac{1}{10000}\times 20}$$

Multiply \frac{1}{10000} and 20 to get \frac{1}{500}.

$$\frac{200}{1+\frac{1}{500}}$$

Add 1 and \frac{1}{500} to get \frac{501}{500}.

$$\frac{200}{\frac{501}{500}}$$

Divide 200 by \frac{501}{500} by multiplying 200 by the reciprocal of \frac{501}{500}.

$$200\times \frac{500}{501}$$

Multiply 200 and \frac{500}{501} to get \frac{100000}{501}.

$$\frac{100000}{501}$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {5}}{3 \cdot 167} = 199\frac{301}{501} = 199.6007984031936$$