Step 1: Identify the number of decimal places

The decimal 11.57 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 10² = 100 to eliminate the decimal point.

11.57 × 100 = 1157

Step 3: Write as a fraction

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1157 and 100.

GCD(1157, 100) = 1

Divide both the numerator and denominator by the GCD: