Solve 1000*150/314*170*10^-9

$$\frac{ 1000 \cdot 150 }{ 314 \cdot 170 \times { 10 }^{ -9 } }$$

Evaluate

$$\frac{7500000000000}{2669}\approx 2810041213.937804421$$

Solution Steps

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

$$\frac{50\times 150}{17\times 157\times 10^{-9}}$$

Multiply 50 and 150 to get 7500.

$$\frac{7500}{17\times 157\times 10^{-9}}$$

Multiply 17 and 157 to get 2669.

$$\frac{7500}{2669\times 10^{-9}}$$

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$\frac{7500}{2669\times \frac{1}{1000000000}}$$

Multiply 2669 and \frac{1}{1000000000} to get \frac{2669}{1000000000}.

$$\frac{7500}{\frac{2669}{1000000000}}$$

Divide 7500 by \frac{2669}{1000000000} by multiplying 7500 by the reciprocal of \frac{2669}{1000000000}.

$$7500\times \frac{1000000000}{2669}$$

Multiply 7500 and \frac{1000000000}{2669} to get \frac{7500000000000}{2669}.

$$\frac{7500000000000}{2669}$$

Factor

$$\frac{2 ^ {11} \cdot 3 \cdot 5 ^ {13}}{17 \cdot 157} = 2810041213\frac{2503}{2669} = 2810041213.937804$$