1. What Are Equivalent Fractions?

Equivalent fractions are different fractions that represent the same value or proportion of the whole. For example, 1/2, 2/4, and 3/6 are all equivalent fractions.

2. How the Calculator Works

The calculator uses the principle:

Where:

• \( a \) — Original numerator
• \( b \) — Original denominator
• \( n \) — Multiplier (whole number)

Example: For 1/2 with multiplier 3: 1×3/2×3 = 3/6

3. Importance of Equivalent Fractions

Details: Understanding equivalent fractions is fundamental for fraction arithmetic, comparing fractions, and solving proportion problems in mathematics.

4. Using the Calculator

Tips: Enter the numerator and denominator of your original fraction, then enter a whole number multiplier. The calculator will show both the multiplied and simplified forms.

5. Frequently Asked Questions (FAQ)

Q1: Can I use decimal numbers?
A: This calculator works with whole numbers only. For decimals, you would get different types of equivalent expressions.

Q2: How do I know if two fractions are equivalent?
A: Cross-multiply: if a×d = b×c, then a/b and c/d are equivalent.

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

Q4: Why learn equivalent fractions?
A: Essential for adding/subtracting fractions with different denominators and solving real-world math problems.

Q5: Can equivalent fractions have different signs?
A: Yes, -1/2 is equivalent to 1/-2, but conventionally we put the sign with the numerator.