Array rational sum

array-rational-sum · version 1.0.0 · Numbers & math · free, no key needed

Sum an array of canonical rationals and return the reduced total.

Use when you need to: array rational sum · sum an array of rationals · add a list of fractions.

Supported

• array rational sum
• sum an array of rationals
• add a list of fractions
• total of rational numbers

Not supported

• mean of rationals
• min and max of rationals
• floating-point sum
• decimal string sum
• CSV column sum
• IEEE-754 arithmetic

Behavior

• Input values is an array of rational objects with canonical integer-string numerator and denominator.
• Each denominator must be a positive canonical integer; zero and negative denominators are rejected.
• An empty array sums to numerator 0 over denominator 1.
• The running total is reduced by gcd after each addition, with the sign only on the numerator.
• Zero is always numerator 0 over denominator 1.
• At most 10000 values. After reduction, numerator and denominator may each have at most 1000 digits excluding sign.

Input

• values (array of object, required): max items 10000

Output

• numerator (string, required)
• denominator (string, required)

Limits

• max values: 10000
• max digits: 1000

Example

Request input:

{
  "values": [
    {
      "numerator": "1",
      "denominator": "2"
    },
    {
      "numerator": "1",
      "denominator": "3"
    },
    {
      "numerator": "1",
      "denominator": "6"
    }
  ]
}

Response:

{
  "result": {
    "numerator": "1",
    "denominator": "1"
  }
}

How to call it

MCP

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

{
  "id": "array-rational-sum",
  "version": "1.0.0",
  "input": {
    "values": [
      {
        "numerator": "1",
        "denominator": "2"
      },
      {
        "numerator": "1",
        "denominator": "3"
      },
      {
        "numerator": "1",
        "denominator": "6"
      }
    ]
  }
}

HTTP (no key)

curl -X POST https://computefirst.net/v1/tools/array-rational-sum/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"values":[{"numerator":"1","denominator":"2"},{"numerator":"1","denominator":"3"},{"numerator":"1","denominator":"6"}]}'

The machine-readable contract is at /v1/tools/array-rational-sum/versions/1.0.0.

CLI

node cli.mjs run array-rational-sum 1.0.0 --input input.json --base-url https://computefirst.net

Get the client at /clients/cli/.

Related tools

• Array rational mean: Return the reduced arithmetic mean of an array of canonical rationals.
• Array rational min max: Return the reduced numeric minimum and maximum of an array of canonical rationals.
• Rational add: Add two rational numbers given as numerator/denominator integer strings and return the reduced sum.
• Array integer GCD: Compute the non-negative greatest common divisor of an array of canonical integer strings.
• Array integer LCM: Compute the non-negative least common multiple of an array of canonical integer strings.
• Rational multiply: Multiply two rational numbers given as numerator/denominator integer strings and return the reduced product.