Solve 5000*10^3*18/3300^2*100

$$\frac{ 5000 \times { 10 }^{ 3 } \times 18 }{ { 3300 }^{ 2 } } \times 100$$

Evaluate

$$\frac{100000}{121}\approx 826.446280992$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{5000\times 1000\times 18}{3300^{2}}\times 100$$

Multiply 5000 and 1000 to get 5000000.

$$\frac{5000000\times 18}{3300^{2}}\times 100$$

Multiply 5000000 and 18 to get 90000000.

$$\frac{90000000}{3300^{2}}\times 100$$

Calculate 3300 to the power of 2 and get 10890000.

$$\frac{90000000}{10890000}\times 100$$

Reduce the fraction \frac{90000000}{10890000} to lowest terms by extracting and canceling out 90000.

$$\frac{1000}{121}\times 100$$

Express \frac{1000}{121}\times 100 as a single fraction.

$$\frac{1000\times 100}{121}$$

Multiply 1000 and 100 to get 100000.

$$\frac{100000}{121}$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {5}}{11 ^ {2}} = 826\frac{54}{121} = 826.4462809917355$$