Step 1: Identify the number of decimal places

The decimal 7.825664 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 10⁶ = 1000000 to eliminate the decimal point.

7.825664 × 1000000 = 7825664

Step 3: Write as a fraction

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7825664 and 1000000.

GCD(7825664, 1000000) = 64

Divide both the numerator and denominator by the GCD: