Equivalent Fractions Calculator
Generate a list of fractions equal in value to a given fraction, or check whether two fractions are equivalent — with simplified form, decimal/percentage, and a step-by-step derivation.
Input
Leave blank for a simple fraction; set it to enter a mixed number (e.g. 2 3/4).
Output
| Property | Value |
|---|---|
| No data yet | |
| Label | Fraction | Decimal |
|---|---|---|
| No data yet | ||
More ways to use this tool
REST API
curl -X POST https://api.iotools.cloud/v1/tool/equivalent-fractions-calculator \
-H "Authorization: Bearer YOUR_API_KEY" \
-H "Content-Type: application/json" \
-d '{
"mode": "generate",
"wholeNumber": "",
"numerator": "1",
"denominator": "2",
"count": "5"
}'Swap in your own key from your account. The tool's fields are the body — no wrapper.
Ask an AI agent
Use the IOTools `equivalent-fractions-calculator` tool (Equivalent Fractions Calculator) on this input:
YOUR_INPUT_HEREPaste this at any agent connected to the IOTools MCP server, then add your input.
Embed widget
<iframe
src="https://iotools.cloud/embed/equivalent-fractions-calculator/"
width="100%" height="520" frameborder="0" scrolling="no" loading="lazy"
title="Equivalent Fractions Calculator — iotools.cloud"
sandbox="allow-scripts allow-forms allow-same-origin allow-downloads allow-popups allow-popups-to-escape-sandbox"
allow="clipboard-write"
style="width:100%;border:1px solid #e5e7eb;border-radius:12px;overflow:hidden"></iframe>
<script src="https://iotools.cloud/embed.js" async></script>Drop this into your own page — free, no key required, just a link back.
| Cost per API/MCP call | From 5 credits |
|---|---|
| Need more credits? | View pricing |
Also available with
Guides
The Equivalent Fractions Calculator does two things: generate a list of fractions that all equal the same value as a fraction you enter, or check whether two fractions are equivalent.
How to use it
Generate mode
- Enter a fraction (numerator, denominator, and an optional whole number for a mixed number like 2 3/4).
- Pick how many equivalent fractions to generate — from 5 up to 100.
- Read the Fractions list: each row scales the numerator and denominator by the same multiplier (×2, ×3, …), so every row has the same value as the original. The Result table also shows the fully simplified fraction, its decimal, and its percentage.
Check mode
- Enter Fraction A and Fraction B (each with an optional whole number).
- The Result table reports whether they're equivalent, along with each fraction's simplified form.
- Step-by-Step shows the cross-multiplication used to verify it:
a/b ≡ c/d ⇔ a×d = b×c.
For example, generating 5 equivalents of 1/2 returns 1/2, 2/4, 3/6, 4/8, 5/10 — all equal to 0.5. Checking 2/4 against 1/2 confirms they're equivalent (2×2 = 1×4).
What makes fractions equivalent?
Two fractions are equivalent when they represent the same value, even though the numerator and denominator differ — multiplying (or dividing) both the numerator and denominator of a fraction by the same non-zero number never changes its value. 1/2 and 50/100 are equivalent because 50/100 is 1/2 scaled by 50.
Why cross-multiplication for the equivalence check?
Comparing two fractions by converting each to a decimal and checking for equality can be misled by floating-point rounding on repeating decimals (like 1/3). Cross-multiplying instead — checking a×d = b×c — only ever compares integers, so the check is exact regardless of how many digits the decimal would need.
For the reverse direction — converting a fraction to a decimal, or a decimal back to a fraction — see the Fraction to Decimal Converter, which also covers fraction addition, subtraction, multiplication, and division.
Privacy
This calculator runs entirely in your browser. Your numbers are never uploaded, logged, or stored — the computation happens locally on your device.