Step 1: Identify the number of decimal places

The decimal 7.827812 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 10⁶ = 1000000 to eliminate the decimal point.

7.827812 × 1000000 = 7827812

Step 3: Write as a fraction

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7827812 and 1000000.

GCD(7827812, 1000000) = 4

Divide both the numerator and denominator by the GCD: