1. What Are Equivalent Fractions?

Equivalent fractions are different fractions that represent the same value or proportion of the whole. They have different numerators and denominators but the same overall value.

2. How To Find Equivalent Fractions

You can find equivalent fractions by multiplying both the numerator and denominator by the same non-zero number:

Where:

• \( num \) — Original numerator
• \( den \) — Original denominator
• \( factor \) — Multiplication factor (must be same for numerator and denominator)

Explanation: Multiplying both parts of the fraction by the same number maintains the same proportion while creating a new fraction.

3. Importance of Equivalent Fractions

Details: Understanding equivalent fractions is fundamental for simplifying fractions, comparing fractions, adding and subtracting fractions with different denominators, and solving ratio problems.

4. Using the Calculator

Tips: Enter the original numerator and denominator (must be positive integers), then enter the multiplication factor (must be positive integer). The calculator will show the equivalent fraction.

5. Frequently Asked Questions (FAQ)

Q1: Can I divide to find equivalent fractions?
A: Yes, you can divide numerator and denominator by the same number to find equivalent fractions (simplification).

Q2: How many equivalent fractions exist for any given fraction?
A: There are infinitely many equivalent fractions for any given fraction.

Q3: What's the simplest form of a fraction?
A: The simplest form is when numerator and denominator have no common factors other than 1.

Q4: Are 3/4 and 6/8 equivalent?
A: Yes, because 3/4 × 2/2 = 6/8.

Q5: Can any two fractions be made equivalent?
A: No, only fractions that represent the same value can be equivalent.