Step 1: Identify the number of decimal places

The decimal 25.8684 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 10⁴ = 10000 to eliminate the decimal point.

25.8684 × 10000 = 258684

Step 3: Write as a fraction

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 258684 and 10000.

GCD(258684, 10000) = 4

Divide both the numerator and denominator by the GCD: