Solve 1000*150/314*170*10^-3

$$\frac{ 1000 \times 150 }{ 314 \times 170 \times { 10 }^{ -3 } }$$

Evaluate

$$\frac{7500000}{2669}\approx 2810.041213938$$

Solution Steps

Cancel out 2\times 10 in both numerator and denominator.

$$\frac{50\times 150}{17\times 157\times 10^{-3}}$$

Multiply 50 and 150 to get 7500.

$$\frac{7500}{17\times 157\times 10^{-3}}$$

Multiply 17 and 157 to get 2669.

$$\frac{7500}{2669\times 10^{-3}}$$

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

$$\frac{7500}{2669\times \frac{1}{1000}}$$

Multiply 2669 and \frac{1}{1000} to get \frac{2669}{1000}.

$$\frac{7500}{\frac{2669}{1000}}$$

Divide 7500 by \frac{2669}{1000} by multiplying 7500 by the reciprocal of \frac{2669}{1000}.

$$7500\times \frac{1000}{2669}$$

Multiply 7500 and \frac{1000}{2669} to get \frac{7500000}{2669}.

$$\frac{7500000}{2669}$$

Factor

$$\frac{2 ^ {5} \cdot 3 \cdot 5 ^ {7}}{17 \cdot 157} = 2810\frac{110}{2669} = 2810.0412139378045$$