Solve 1000^2200/100^2*120*80

$$\frac{ { 1000 }^{ 2 } 200 }{ { 100 }^{ 2 } \times 120 \times 80 }$$

Evaluate

$$\frac{25}{12}\approx 2.083333333$$

Solution Steps

Cancel out 5\times 40 in both numerator and denominator.

$$\frac{1000^{2}}{3\times 16\times 100^{2}}$$

Calculate 1000 to the power of 2 and get 1000000.

$$\frac{1000000}{3\times 16\times 100^{2}}$$

Multiply 3 and 16 to get 48.

$$\frac{1000000}{48\times 100^{2}}$$

Calculate 100 to the power of 2 and get 10000.

$$\frac{1000000}{48\times 10000}$$

Multiply 48 and 10000 to get 480000.

$$\frac{1000000}{480000}$$

Reduce the fraction \frac{1000000}{480000} to lowest terms by extracting and canceling out 40000.

$$\frac{25}{12}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3} = 2\frac{1}{12} = 2.0833333333333335$$