Solve 1000*150/3.14*170*10^-3

$$\frac{ 1000 \times 150 }{ 3.14 \times 170 \times { 10 }^{ -3 } }$$

Evaluate

$$\frac{750000000}{2669}\approx 281004.12139378$$

Solution Steps

Cancel out 10 in both numerator and denominator.

$$\frac{100\times 150}{3.14\times 17\times 10^{-3}}$$

Multiply 100 and 150 to get 15000.

$$\frac{15000}{3.14\times 17\times 10^{-3}}$$

Multiply 3.14 and 17 to get 53.38.

$$\frac{15000}{53.38\times 10^{-3}}$$

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

$$\frac{15000}{53.38\times \frac{1}{1000}}$$

Multiply 53.38 and \frac{1}{1000} to get \frac{2669}{50000}.

$$\frac{15000}{\frac{2669}{50000}}$$

Divide 15000 by \frac{2669}{50000} by multiplying 15000 by the reciprocal of \frac{2669}{50000}.

$$15000\times \frac{50000}{2669}$$

Multiply 15000 and \frac{50000}{2669} to get \frac{750000000}{2669}.

$$\frac{750000000}{2669}$$

Factor

$$\frac{3 \cdot 2 ^ {7} \cdot 5 ^ {9}}{17 \cdot 157} = 281004\frac{324}{2669} = 281004.12139378046$$