Solve 120*10^6/3000*0.851*430

$$\frac { 120 \times 10 ^ { 6 } } { 3000 \times 0.851 \times 430 }$$

Evaluate

$$\frac{4000000}{36593}\approx 109.310523871$$

Solution Steps

Cancel out 120 in both numerator and denominator.

$$\frac{10^{6}}{0.851\times 25\times 430}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{1000000}{0.851\times 25\times 430}$$

Multiply 0.851 and 25 to get 21.275.

$$\frac{1000000}{21.275\times 430}$$

Multiply 21.275 and 430 to get 9148.25.

$$\frac{1000000}{9148.25}$$

Expand \frac{1000000}{9148.25} by multiplying both numerator and the denominator by 100.

$$\frac{100000000}{914825}$$

Reduce the fraction \frac{100000000}{914825} to lowest terms by extracting and canceling out 25.

$$\frac{4000000}{36593}$$

Factor

$$\frac{2 ^ {8} \cdot 5 ^ {6}}{23 \cdot 37 \cdot 43} = 109\frac{11363}{36593} = 109.31052387068566$$