1. What Are Equal Fractions?

Equal fractions are different fractions that represent the same value. They are created by multiplying or dividing both the numerator and denominator of a fraction by the same non-zero number.

2. How Does This Calculator Work?

The calculator uses the principle:

Where:

• \( a \) — Original numerator
• \( b \) — Original denominator
• \( n \) — Multiplication factor (1 through 20)

Explanation: Multiplying both numerator and denominator by the same number creates an equivalent fraction that represents the same value as the original.

3. Importance of Equal Fractions

Details: Understanding equal fractions is fundamental in simplifying fractions, comparing fractions, adding/subtracting fractions with different denominators, and solving ratio problems.

4. Using the Calculator

Tips: Enter any positive integers for numerator and denominator. The calculator will generate 20 equivalent fractions by multiplying both numbers by factors from 1 to 20.

5. Frequently Asked Questions (FAQ)

Q1: Why stop at 20 equivalent fractions?
A: While there are infinite equivalent fractions, 20 provides a practical demonstration of the concept.

Q2: Can I use this with decimal numbers?
A: The principle works with decimals, but this calculator is designed for whole numbers for clarity.

Q3: How is this different from simplifying fractions?
A: This shows expansion (making fractions larger but equal), while simplification makes fractions smaller but equal.

Q4: What if I enter a fraction that can be simplified?
A: The calculator will still generate correct equivalent fractions based on your input.

Q5: Can I use negative numbers?
A: The principle works with negatives, but this calculator uses positive integers for simplicity.