**625 is Equivalent to What Fraction in Reduced Terms**

In this article, we will explore the equivalent fraction of 625 in reduced terms.

**What is a Fraction in Reduced Terms?**

A fraction in reduced terms is a fraction that has been simplified to its most basic form. This means that the numerator and denominator of the fraction have no common factors other than 1.

**Finding the Equivalent Fraction of 625**

To find the equivalent fraction of 625, we need to convert the decimal number to a fraction.

**Step 1: Convert 625 to a Fraction**

To convert 625 to a fraction, we can divide it by 1.

625 ÷ 1 = 625/1

**Step 2: Simplify the Fraction**

Since 625 is a perfect square (25 × 25), we can simplify the fraction further.

625 = 25 × 25 = (5 × 5) × (5 × 5) = 5² × 5² = (5²)²

So, the equivalent fraction of 625 is:

625/1 = **(5²)² / 1**

**Step 3: Write the Fraction in Reduced Terms**

Since the numerator and denominator have no common factors other than 1, the fraction is already in reduced terms.

Therefore, the equivalent fraction of 625 in reduced terms is:

**(5²)² / 1**

or simply:

**625/1**

This is the simplest form of the fraction, and it has no common factors other than 1.

**Conclusion**

In conclusion, the equivalent fraction of 625 in reduced terms is **625/1** or **(5²)² / 1**. This fraction has been simplified to its most basic form, with no common factors other than 1.