Solve 1.05*10^5*0.1413/2077.7*301

$$\frac{ 1.05 \times { 10 }^{ 5 } \times 0.1413 }{ 2077.7 \times 301 }$$

Evaluate

$$\frac{21195}{893411}\approx 0.023723684$$

Solution Steps

Calculate 10 to the power of 5 and get 100000.

$$\frac{1.05\times 100000\times 0.1413}{2077.7\times 301}$$

Multiply 1.05 and 100000 to get 105000.

$$\frac{105000\times 0.1413}{2077.7\times 301}$$

Multiply 105000 and 0.1413 to get 14836.5.

$$\frac{14836.5}{2077.7\times 301}$$

Multiply 2077.7 and 301 to get 625387.7.

$$\frac{14836.5}{625387.7}$$

Expand \frac{14836.5}{625387.7} by multiplying both numerator and the denominator by 10.

$$\frac{148365}{6253877}$$

Reduce the fraction \frac{148365}{6253877} to lowest terms by extracting and canceling out 7.

$$\frac{21195}{893411}$$

Factor

$$\frac{5 \cdot 157 \cdot 3 ^ {3}}{43 \cdot 79 \cdot 263} = 0.023723683724512012$$