1. What Are Equivalent Fractions?

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

2. How Does the Calculator Work?

The calculator uses the equivalent fractions formula:

Where:

• \( a \) — Original numerator
• \( b \) — Original denominator (must be > 0)
• \( n \) — Multiplier (must be > 0)

Explanation: The calculator shows both the multiplied form and the simplified form of the resulting fraction.

3. Importance of Equivalent Fractions

Details: Understanding equivalent fractions is fundamental for comparing fractions, adding/subtracting fractions with different denominators, and solving proportion problems in algebra.

4. Using the Calculator

Tips: Enter the original numerator and denominator, then choose a multiplier. The calculator will show the equivalent fraction and its simplified form.

5. Frequently Asked Questions (FAQ)

Q1: Can the denominator be zero?
A: No, division by zero is undefined in mathematics. The denominator must always be a positive integer.

Q2: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this number.

Q3: What's the largest multiplier I can use?
A: There's no theoretical limit, but very large numbers may cause display issues.

Q4: Can I use negative numbers?
A: The calculator is designed for positive integers only to keep it simple for educational purposes.

Q5: How is this related to Desmos?
A: This demonstrates the mathematical concept behind Desmos's equivalent fraction visualization tools.