Solve 10^5*(50*10^-3/50*10^-3+2*10^-3)

$$10 ^ { 5 } \cdot ( \frac { 50 \cdot 10 ^ { - 3 } } { 50 \cdot 10 ^ { - 3 } + 2 \cdot 10 ^ { - 3 } } )$$

Evaluate

$$\frac{1250000}{13}\approx 96153.846153846$$

Solution Steps

Calculate 10 to the power of 5 and get 100000.

$$100000\times \frac{50\times 10^{-3}}{50\times 10^{-3}+2\times 10^{-3}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$100000\times \frac{50\times \frac{1}{1000}}{50\times 10^{-3}+2\times 10^{-3}}$$

Multiply 50 and \frac{1}{1000} to get \frac{1}{20}.

$$100000\times \frac{\frac{1}{20}}{50\times 10^{-3}+2\times 10^{-3}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$100000\times \frac{\frac{1}{20}}{50\times \frac{1}{1000}+2\times 10^{-3}}$$

Multiply 50 and \frac{1}{1000} to get \frac{1}{20}.

$$100000\times \frac{\frac{1}{20}}{\frac{1}{20}+2\times 10^{-3}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$100000\times \frac{\frac{1}{20}}{\frac{1}{20}+2\times \frac{1}{1000}}$$

Multiply 2 and \frac{1}{1000} to get \frac{1}{500}.

$$100000\times \frac{\frac{1}{20}}{\frac{1}{20}+\frac{1}{500}}$$

Add \frac{1}{20} and \frac{1}{500} to get \frac{13}{250}.

$$100000\times \frac{\frac{1}{20}}{\frac{13}{250}}$$

Divide \frac{1}{20} by \frac{13}{250} by multiplying \frac{1}{20} by the reciprocal of \frac{13}{250}.

$$100000\times \frac{1}{20}\times \frac{250}{13}$$

Multiply \frac{1}{20} and \frac{250}{13} to get \frac{25}{26}.

$$100000\times \frac{25}{26}$$

Multiply 100000 and \frac{25}{26} to get \frac{1250000}{13}.

$$\frac{1250000}{13}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {7}}{13} = 96153\frac{11}{13} = 96153.84615384616$$