Solve (1.82/0.82)*0.002*100000

$$( \frac { 1.82 } { 0.82 } ) \times 0.002 \times 100000$$

Evaluate

$$\frac{18200}{41}\approx 443.902439024$$

Solution Steps

Expand \frac{1.82}{0.82} by multiplying both numerator and the denominator by 100.

$$\frac{182}{82}\times 0.002\times 100000$$

Reduce the fraction \frac{182}{82} to lowest terms by extracting and canceling out 2.

$$\frac{91}{41}\times 0.002\times 100000$$

Convert decimal number 0.002 to fraction \frac{2}{1000}. Reduce the fraction \frac{2}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{91}{41}\times \frac{1}{500}\times 100000$$

Multiply \frac{91}{41} times \frac{1}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{91\times 1}{41\times 500}\times 100000$$

Do the multiplications in the fraction \frac{91\times 1}{41\times 500}.

$$\frac{91}{20500}\times 100000$$

Express \frac{91}{20500}\times 100000 as a single fraction.

$$\frac{91\times 100000}{20500}$$

Multiply 91 and 100000 to get 9100000.

$$\frac{9100000}{20500}$$

Reduce the fraction \frac{9100000}{20500} to lowest terms by extracting and canceling out 500.

$$\frac{18200}{41}$$

Factor

$$\frac{7 \cdot 13 \cdot 2 ^ {3} \cdot 5 ^ {2}}{41} = 443\frac{37}{41} = 443.9024390243902$$