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.

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/.

Related tools

• Mixed number to rational: Convert a mixed number (sign, whole part, proper-fraction numerator and denominator) into a single reduced rational.
• Rational power: Raise a rational number to an integer exponent and return the exact reduced result.
• Rational simplify: Reduce a numerator/denominator pair to lowest terms with the sign normalized onto the numerator.
• Rational reciprocal: Invert a rational number given as a numerator/denominator integer-string pair.
• Angle DMS convert: Convert a signed integer angle between degrees, arcminutes, and arcseconds as an exact rational.
• Array integer clamp: Clamp an array of canonical integer strings to optional inclusive min and max bounds.