Equivalent Fractions Calculator

Find fractions equal to your original fraction

Enter Your Fraction

How to Find Equivalent Fractions

Choose a Multiplier

Pick any whole number (2, 3, 4, 5, etc.).

Multiply Both Parts

Multiply BOTH the numerator and denominator by that number.

Result is Equivalent

The new fraction represents the same value as the original.

Examples

Example 1: Find equivalents of 1/2

1/2 × 2/2 = 2/4

1/2 × 3/3 = 3/6

1/2 × 4/4 = 4/8

1/2 × 5/5 = 5/10

All of these equal 1/2

Example 2: Find equivalents of 2/3

2/3 × 2/2 = 4/6

2/3 × 3/3 = 6/9

2/3 × 4/4 = 8/12

2/3 × 5/5 = 10/15

All of these equal 2/3

Example 3: Simplifying 6/8 to find equivalents

First simplify: 6/8 = 3/4 (divide both by 2)

Then find equivalents of 3/4:

3/4, 6/8, 9/12, 12/16, 15/20...

All represent the same amount

About Equivalent Fractions

Equivalent fractions are different fractions that represent the same value or amount. For example, 1/2, 2/4, 3/6, and 50/100 all represent exactly the same quantity - one half.

Why Equivalent Fractions Matter

Adding/Subtracting: Need common denominators (equivalent fractions)
Comparing: Convert to equivalents with same denominator
Simplifying: Find the simplest equivalent form
Real-world: Same amount expressed different ways (1/2 = 50/100 = 50%)

The Golden Rule

Whatever you do to the top, you must do to the bottom.

When you multiply or divide both the numerator and denominator by the same non-zero number, you create an equivalent fraction. This is like multiplying by 1 in the form of n/n, which doesn't change the value.

Visual Understanding

Imagine a pizza: 1/2 of a pizza is the same amount as 2/4, 3/6, or 4/8. You are just cutting it into more pieces, but the total amount stays the same.

Finding Simplest Form

The simplest equivalent fraction (lowest terms) is found by dividing both parts by their Greatest Common Divisor (GCD). For example, 12/18 simplifies to 2/3 by dividing both by 6.

Real-World Applications

Money: 1/4 dollar = 25/100 dollars = 25 cents
Measurement: 1/2 inch = 2/4 inch = 4/8 inch
Time: 1/2 hour = 30/60 minutes
Cooking: 1/3 cup = 2/6 cup = 5 tablespoons + 1 teaspoon

How to Use This Calculator
1
Enter Your Values
Input the required values in the calculator fields above. Make sure all inputs are valid numbers.
2
Click Calculate
Press the "Calculate" button to perform the calculation and see your results.
3
Review Results
Review the calculated results displayed below. Use these values for your needs.
Formula
Formula will be calculated based on the inputs provided.
Example:
Example: Enter your values above and click Calculate to see the formula in action.
About Equivalent Fractions Calculator
The Equivalent Fractions Calculator is a useful tool for calculating equivalent fractions values. This calculator helps you quickly and accurately determine the results you need for your calculations.
When to Use This Calculator
Quick Calculations: Get instant results without manual computation
Accuracy: Ensure precise calculations every time
Planning: Use for project planning and estimation
Verification: Double-check your manual calculations
Why Use Our Calculator?
✅ Instant Results: Get accurate calculations immediately
✅ Easy to Use: Simple interface for all skill levels
✅ 100% Free: No registration or payment required
✅ Mobile Friendly: Works on all devices
✅ Accurate: Precise mathematical calculations
Tips for Best Results
Double-Check Inputs: Verify all values before calculating
Use Valid Numbers: Ensure inputs are valid numbers
Review Results: Check results for reasonableness
Clear and Retry: Clear inputs if you need to recalculate
Frequently Asked Questions

Are there infinite equivalent fractions?

Yes! You can multiply by 2/2, 3/3, 4/4... forever. Each creates a new equivalent fraction, so there are infinitely many equivalent fractions for any given fraction.

How do I know if two fractions are equivalent?

Cross multiply: if a/b and c/d are equivalent, then a×d = b×c. Or simplify both to lowest terms - if they match, they are equivalent.

What is the simplest equivalent fraction?

The simplest form (or lowest terms) is when the numerator and denominator have no common factors other than 1. For example, the simplest form of 6/8 is 3/4.

Can I divide to find equivalents?

Yes, but only if both the numerator and denominator are divisible by the same number. Dividing gives you simpler equivalents, while multiplying gives you more complex ones.

Why is this useful in real life?

Equivalent fractions help you convert between different units (1/2 gallon = 2 quarts), compare quantities, and work with measurements in recipes or construction where you need specific denominations.