Solve 200/22*10^-6*4/2*10^11

$$\frac { 200 } { 22 \times 10 ^ { - 6 } } \times \frac { 4 } { 2 \times 10 ^ { 11 } }$$

Evaluate

$$\frac{1}{5500}\approx 0.000181818$$

Solution Steps

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{200}{22\times \frac{1}{1000000}}\times \frac{4}{2\times 10^{11}}$$

Multiply 22 and \frac{1}{1000000} to get \frac{11}{500000}.

$$\frac{200}{\frac{11}{500000}}\times \frac{4}{2\times 10^{11}}$$

Divide 200 by \frac{11}{500000} by multiplying 200 by the reciprocal of \frac{11}{500000}.

$$200\times \frac{500000}{11}\times \frac{4}{2\times 10^{11}}$$

Multiply 200 and \frac{500000}{11} to get \frac{100000000}{11}.

$$\frac{100000000}{11}\times \frac{4}{2\times 10^{11}}$$

Calculate 10 to the power of 11 and get 100000000000.

$$\frac{100000000}{11}\times \frac{4}{2\times 100000000000}$$

Multiply 2 and 100000000000 to get 200000000000.

$$\frac{100000000}{11}\times \frac{4}{200000000000}$$

Reduce the fraction \frac{4}{200000000000} to lowest terms by extracting and canceling out 4.

$$\frac{100000000}{11}\times \frac{1}{50000000000}$$

Multiply \frac{100000000}{11} and \frac{1}{50000000000} to get \frac{1}{5500}.

$$\frac{1}{5500}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 5 ^ {3} \cdot 11} = 0.0001818181818181818$$