Equivalent Fractions Calculator
Enter a fraction to generate equivalent fractions, simplify it, and optionally find an exact equivalent with a specific denominator.
Check if Two Fractions Are Equivalent
Fractions can feel tricky at first, but once you understand equivalent fractions, a lot of math becomes easier. This page gives you a fast calculator plus practical explanations you can use for homework, teaching, or quick checks.
What are equivalent fractions?
Equivalent fractions are different-looking fractions that represent the same value. You create them by multiplying or dividing the numerator and denominator by the same non-zero number.
- 1/2 = 2/4 = 3/6 = 50/100
- 3/5 = 6/10 = 9/15
- 7/8 = 14/16 = 21/24
If the value on a number line is unchanged, the fractions are equivalent.
How to use this equivalent fractions calculator
Generate a list of equivalent fractions
Type your numerator and denominator, choose how many equivalents you want, and click Generate Fractions. The calculator also simplifies your fraction automatically.
Find a matching denominator
If you need a specific denominator (for example, adding fractions in class), enter it in the target denominator box. The calculator will tell you whether an exact equivalent exists.
Compare two fractions
Use the second tool to test if two fractions are equivalent. This is helpful for checking answers on worksheets or quizzes.
Quick equivalent fraction chart
| Base Fraction | Equivalent Forms |
|---|---|
| 1/3 | 2/6, 3/9, 4/12, 5/15 |
| 2/5 | 4/10, 6/15, 8/20, 10/25 |
| 3/4 | 6/8, 9/12, 12/16, 15/20 |
| 5/6 | 10/12, 15/18, 20/24, 25/30 |
Why this matters
Equivalent fractions show up everywhere in math:
- Adding and subtracting fractions (common denominators)
- Simplifying final answers
- Converting ratios and proportions
- Comparing values in algebra and statistics
FAQ
Can equivalent fractions look very different?
Yes. A fraction like 4/6 and 200/300 can look unrelated, but both reduce to 2/3, so they are equivalent.
Do I always need to simplify first?
You do not have to, but simplifying first makes it easier to see patterns and reduces mistakes.
Can a target denominator ever fail?
Yes. For example, 2/3 cannot be written with denominator 10 as an exact equivalent fraction because 10 is not a multiple of 3.
Final tip
When in doubt, use one of these checks: simplify both fractions to lowest terms, or compare cross-products. Both methods are reliable and fast.