Solve 200*10^3*0.4/0.3*20*0.75*0.65=

$$\frac{ 200 \times { 10 }^{ 3 } \times 0.4 }{ 0.3 \times 20 \times 0.75 \times 0.65 } =$$

Evaluate

$$\frac{3200000}{117}\approx 27350.427350427$$

Solution Steps

Cancel out 20 in both numerator and denominator.

$$\frac{0.4\times 10\times 10^{3}}{0.3\times 0.65\times 0.75}$$

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$\frac{0.4\times 10^{4}}{0.3\times 0.65\times 0.75}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{0.4\times 10000}{0.3\times 0.65\times 0.75}$$

Multiply 0.4 and 10000 to get 4000.

$$\frac{4000}{0.3\times 0.65\times 0.75}$$

Multiply 0.3 and 0.65 to get 0.195.

$$\frac{4000}{0.195\times 0.75}$$

Multiply 0.195 and 0.75 to get 0.14625.

$$\frac{4000}{0.14625}$$

Expand \frac{4000}{0.14625} by multiplying both numerator and the denominator by 100000.

$$\frac{400000000}{14625}$$

Reduce the fraction \frac{400000000}{14625} to lowest terms by extracting and canceling out 125.

$$\frac{3200000}{117}$$

Factor

$$\frac{2 ^ {10} \cdot 5 ^ {5}}{13 \cdot 3 ^ {2}} = 27350\frac{50}{117} = 27350.42735042735$$