Step 1: Identify the number of decimal places

The decimal 4.586564 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 10⁶ = 1000000 to eliminate the decimal point.

4.586564 × 1000000 = 4586564

Step 3: Write as a fraction

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4586564 and 1000000.

GCD(4586564, 1000000) = 4

Divide both the numerator and denominator by the GCD: