**66.125 as a Fraction**

**What is 66.125 as a Fraction?**

The decimal number 66.125 can be converted into a fraction. A fraction is a way to express a value as a ratio of two integers, a numerator, and a denominator.

**Conversion to Fraction**

To convert 66.125 into a fraction, we can follow these steps:

**Multiply by 1000**: Multiply the decimal number by 1000 to remove the decimal places. This gives us:

66.125 × 1000 = 66125

**Find the Greatest Common Divisor (GCD)**: Find the GCD of 66125 and 1000. The GCD is the largest number that divides both numbers without leaving a remainder.

GCD(66125, 1000) = 125

**Divide by the GCD**: Divide both the numerator and the denominator by the GCD.

(66125 ÷ 125) / (1000 ÷ 125) = 529 / 8

Therefore, the fraction equivalent to 66.125 is:

**529/8**

**Simplification**

The fraction 529/8 can be further simplified by dividing both the numerator and the denominator by their GCD.

GCD(529, 8) = 1

Since the GCD is 1, the fraction is already in its simplest form.

**Conclusion**

In conclusion, the decimal number 66.125 can be represented as a fraction in its simplest form as **529/8**.