Step 1: Identify the number of decimal places

The decimal 11.646876 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 10⁶ = 1000000 to eliminate the decimal point.

11.646876 × 1000000 = 11646876

Step 3: Write as a fraction

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11646876 and 1000000.

GCD(11646876, 1000000) = 4

Divide both the numerator and denominator by the GCD: