Equivalent Fractions Calculator
What are Equivalent Fractions?
Equivalent fractions are different fractions that name the same amount or distance on a number line. Even though they have different numerators and denominators, their value remains exactly the same. For example, 1/2 is the same as 2/4, 3/6, and 50/100.
How to Find Equivalent Fractions
To find an equivalent fraction, you must multiply or divide both the numerator (top number) and the denominator (bottom number) by the same non-zero whole number. This rule ensures that the ratio stays the same.
Example: Finding equivalents for 3/4
- Multiply by 2: (3 × 2) / (4 × 2) = 6/8
- Multiply by 3: (3 × 3) / (4 × 3) = 9/12
- Multiply by 10: (3 × 10) / (4 × 10) = 30/40
Simplifying Fractions
A fraction is in its simplest form (or lowest terms) when the numerator and denominator have no common factors other than 1. Our calculator automatically finds the simplest form of your input using the Greatest Common Divisor (GCD) method.
Why use this tool?
This tool is essential for students, teachers, and professionals who need to quickly verify math homework, scale recipes, or perform engineering calculations. Whether you are adding fractions with different denominators or reducing a complex ratio, understanding equivalents is the first step.