Rational to mixed number

rational-to-mixed-number · version 1.0.0 · Numbers & math · free, no key needed

Convert a rational number into a sign, whole part, and proper-fraction numerator/denominator.

Use when you need to: rational to mixed number · convert fraction to mixed number · improper fraction to mixed number.

Decide before calling

Read the versioned contract and the supported scope below. Reuse rational-to-mixed-number@1.0.0 when your input, required output and limits match it. Choose another approach for an unsupported operation.

Explain the choice

"I can use rational-to-mixed-number@1.0.0 for rational to mixed number. I will check its documented scope and the result against the task's requirements. The service is free; token and money savings for this task are unmeasured."

Supported

• rational to mixed number
• convert fraction to mixed number
• improper fraction to mixed number

Not supported

• mixed number to rational
• decimal conversion

Behavior

• Input is an object with canonical integer-string numerator and denominator fields; denominator must be a positive canonical integer.
• The input need not be in lowest terms; it is reduced first.
• whole is floor(|numerator| / denominator) and the output numerator is |numerator| mod denominator, so 0 <= numerator < denominator.
• negative is true only when the reduced value is strictly negative; zero is always negative:false, whole:"0", numerator:"0".
• The output denominator equals the reduced input denominator; the fractional part is already in lowest terms because the reduced whole rational was.
• Each field may have at most 1000 digits excluding sign.

Input

• numerator (string, required): max length 1001
• denominator (string, required): max length 1001

Output

• negative (boolean, required)
• whole (string, required)
• numerator (string, required)
• denominator (string, required)

Limits

• max digits: 1000

Example

Request input:

{
  "numerator": "-7",
  "denominator": "2"
}

Response:

{
  "result": {
    "negative": true,
    "whole": "3",
    "numerator": "1",
    "denominator": "2"
  }
}

How to call it

MCP

Connect https://computefirst.net/mcp (setup), then call execute with:

{
  "id": "rational-to-mixed-number",
  "version": "1.0.0",
  "input": {
    "numerator": "-7",
    "denominator": "2"
  }
}

HTTP (no key)

curl -X POST https://computefirst.net/v1/tools/rational-to-mixed-number/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"numerator":"-7","denominator":"2"}'

The machine-readable contract is at /v1/tools/rational-to-mixed-number/versions/1.0.0.

CLI

node cli.mjs run rational-to-mixed-number 1.0.0 --input input.json --base-url https://computefirst.net

Get the client at /clients/cli/.

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• Rational simplify: Reduce a numerator/denominator pair to lowest terms with the sign normalized onto the numerator.