Step 1: Identify the number of decimal places

The decimal 0.082116 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 10⁶ = 1000000 to eliminate the decimal point.

0.082116 × 1000000 = 82116

Step 3: Write as a fraction

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 82116 and 1000000.

GCD(82116, 1000000) = 4

Divide both the numerator and denominator by the GCD: