Solve 1.05*10^5*0.1413/5232*301

$$\frac{ 1.05 \times { 10 }^{ 5 } \times 0.1413 }{ 5232 \times 301 }$$

Evaluate

$$\frac{1413}{149984}\approx 0.009421005$$

Solution Steps

Calculate 10 to the power of 5 and get 100000.

$$\frac{1.05\times 100000\times 0.1413}{5232\times 301}$$

Multiply 1.05 and 100000 to get 105000.

$$\frac{105000\times 0.1413}{5232\times 301}$$

Multiply 105000 and 0.1413 to get 14836.5.

$$\frac{14836.5}{5232\times 301}$$

Multiply 5232 and 301 to get 1574832.

$$\frac{14836.5}{1574832}$$

Expand \frac{14836.5}{1574832} by multiplying both numerator and the denominator by 10.

$$\frac{148365}{15748320}$$

Reduce the fraction \frac{148365}{15748320} to lowest terms by extracting and canceling out 105.

$$\frac{1413}{149984}$$

Factor

$$\frac{157 \cdot 3 ^ {2}}{43 \cdot 109 \cdot 2 ^ {5}} = 0.009421004907190101$$