1. What Are Equivalent Fractions?

Equivalent fractions are different fractions that represent the same value or proportion of the whole. For example, 1/2 is equivalent to 2/4, 3/6, 4/8 and so on.

2. How Does the Calculator Work?

The calculator uses the equivalent fractions principle:

Where:

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

Explanation: Multiplying both the numerator and denominator by the same number creates an equivalent fraction.

3. Why Learn About Equivalent Fractions?

Details: Understanding equivalent fractions helps with simplifying fractions, comparing fractions, adding and subtracting fractions with different denominators.

4. Using the Calculator

Tips: Enter the original numerator and denominator, then enter how many times you want to multiply them. All values must be positive whole numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the simplest form of a fraction?
A: The simplest form is when the numerator and denominator have no common factors other than 1.

Q2: Can fractions be equivalent if they look different?
A: Yes! Fractions can look completely different but represent the same value (like 1/2 and 50/100).

Q3: How do I know if two fractions are equivalent?
A: Cross-multiply - if a×d = b×c, then a/b = c/d.

Q4: Can I use division to make equivalent fractions?
A: Yes, dividing numerator and denominator by the same number also makes equivalent fractions (simplifying).

Q5: Why is this important in real life?
A: We use equivalent fractions when resizing recipes, comparing prices, measuring ingredients, or dividing things fairly.