Equivalent Fractions Calculator

Find all equivalent fractions for any given fraction. Enter a fraction and instantly see a list of equivalent fractions with visual pie chart comparisons.

📐 Equivalent Fractions Calculator
Result
Visual Diagram
Definition

What is Equivalent Fractions Calculator?

Equivalent fractions are different fractions that represent the same value. For example, 1/2, 2/4, 3/6, and 50/100 are all equivalent fractions — each represents exactly half.

The Equivalent Fractions Calculator generates a list of fractions equal to your input by multiplying (or dividing) both the numerator and denominator by the same number. This principle is the foundation of fraction arithmetic.

Equivalent fractions are essential for adding and subtracting fractions with different denominators, simplifying fractions, and comparing fractions.

Interactive Visualization
Formula

Equivalent Fractions Calculator Formula

To find an equivalent fraction, multiply (or divide) both numerator and denominator by the same non-zero number:

a/b = (a × n) / (b × n) for any non-zero integer n

Example: Find 5 fractions equivalent to 3/4:

  • 3/4 × 2/2 = 6/8
  • 3/4 × 3/3 = 9/12
  • 3/4 × 4/4 = 12/16
  • 3/4 × 5/5 = 15/20
  • 3/4 × 10/10 = 30/40
Examples

Worked Examples

Equivalents of 1/3

2/6, 3/9, 4/12, 5/15, 10/30 — all equal to 1/3.

Equivalents of 2/5

4/10, 6/15, 8/20, 10/25, 20/50 — all equal to 2/5.

Check: Is 4/6 equivalent to 2/3?

Simplify 4/6: GCF(4,6)=2 → 4÷2/6÷2 = 2/3. Yes, they are equivalent.

Equivalents of 7/8

14/16, 21/24, 28/32, 35/40 — all equal to 7/8.

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FAQ

Frequently Asked Questions

Common questions about the equivalent fractions calculator.

Equivalent fractions are fractions that have different numerators and denominators but represent the same value. For example, 1/2 = 2/4 = 3/6 = 50/100.

Multiply both the numerator and denominator by the same number. Example: 2/3 × 4/4 = 8/12. Both 2/3 and 8/12 represent the same value.

Cross-multiply: a/b = c/d if and only if a × d = b × c. Example: 3/4 and 9/12 → 3×12 = 36 and 4×9 = 36. Equal, so the fractions are equivalent.

Equivalent fractions are needed to add and subtract fractions with different denominators. Both fractions must be converted to equivalent fractions with a common denominator before the operation.

Every fraction has infinitely many equivalent fractions. Multiply numerator and denominator by 2, 3, 4, 5, ... to generate as many equivalent fractions as needed.