Step 1: Identify the number of decimal places

The decimal 35.279664 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 10⁶ = 1000000 to eliminate the decimal point.

35.279664 × 1000000 = 35279664

Step 3: Write as a fraction

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 35279664 and 1000000.

GCD(35279664, 1000000) = 16

Divide both the numerator and denominator by the GCD: