Solve 0.0982*(20-14.39)*162.206div3/1.4182*10

$$\frac{ 0.0982 \times (20-14.39) \times 162.206 \div 3 }{ 1.4182 \times 10 }$$

Evaluate

$$\frac{7446634151}{3545500000}\approx 2.100305782$$

Solution Steps

Subtract 14.39 from 20 to get 5.61.

$$\frac{\frac{0.0982\times 5.61\times 162.206}{3}}{1.4182\times 10}$$

Multiply 0.0982 and 5.61 to get 0.550902.

$$\frac{\frac{0.550902\times 162.206}{3}}{1.4182\times 10}$$

Multiply 0.550902 and 162.206 to get 89.359609812.

$$\frac{\frac{89.359609812}{3}}{1.4182\times 10}$$

Expand \frac{89.359609812}{3} by multiplying both numerator and the denominator by 1000000000.

$$\frac{\frac{89359609812}{3000000000}}{1.4182\times 10}$$

Reduce the fraction \frac{89359609812}{3000000000} to lowest terms by extracting and canceling out 12.

$$\frac{\frac{7446634151}{250000000}}{1.4182\times 10}$$

Multiply 1.4182 and 10 to get 14.182.

$$\frac{\frac{7446634151}{250000000}}{14.182}$$

Express \frac{\frac{7446634151}{250000000}}{14.182} as a single fraction.

$$\frac{7446634151}{250000000\times 14.182}$$

Multiply 250000000 and 14.182 to get 3545500000.

$$\frac{7446634151}{3545500000}$$

Factor

$$\frac{17 \cdot 73 \cdot 101 \cdot 491 \cdot 11 ^ {2}}{7 \cdot 1013 \cdot 2 ^ {5} \cdot 5 ^ {6}} = 2\frac{355634151}{3545500000} = 2.100305782259202$$