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MaCalculatriceEnLigne

Calculate Fraction

calculate_fraction
Read-onlyIdempotent

Perform fraction operations: add, subtract, multiply, divide, simplify. Returns: {input, result, decimal}. See list_bundles for related 'math' calculators.

Input Schema

NameRequiredDescriptionDefault
den1YesDenominator 1
den2NoDenominator 2
num1YesNumerator 1
num2NoNumerator 2
operationYesOperation

Output Schema

NameRequiredDescriptionDefault
resultNoComputed result. Object whose fields depend on the tool (e.g. {tax, marginal_rate, brackets} for tax tools, {volume_l, gallons} for volume tools).
sourceNoAuthoritative source for the rule or formula (e.g. "Article 197 CGI", "NF DTU 21").
formulaNoHuman-readable formula or method used (e.g. "I=P·r·t", "Magnus formula").
reference_urlNoLink to a calcul2 page documenting the calculation in detail.

Schema Changelog

Changes observed during successful MCP inspections.

  1. First observed

TDQS

B3.2/5.0
Behavior3/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

Annotations already declare readOnlyHint, idempotentHint, destructiveHint=false and openWorldHint=false, so the safety profile is fully covered. The description adds the return shape ({input, result, decimal}) but nothing else behavioral — no note on divide-by-zero handling, denominator constraints, or defaults for the optional operands.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

Two tight, front-loaded sentences with no filler; the operation list leads and the return/cross-reference follow. The return-value clause is slightly redundant given an output schema exists, costing a little density.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness4/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

With 5 fully documented parameters, an output schema, and complete annotations, the description is close to sufficient. It could still note that num2/den2 are optional (so 'simplify' works with a single fraction) and that this tool overlaps calculate_fraction_operations.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 100% and the enum of operations is fully documented in the schema, so the description's list of operations ('add, subtract, multiply, divide, simplify') merely repeats structured data. Baseline 3 is appropriate when the schema already carries parameter meaning.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

States a specific verb+resource ('Perform fraction operations') and enumerates the supported operations, so the tool's function is unambiguous. However, it does not distinguish itself from the near-identical sibling calculate_fraction_operations (nor from calculate_ratio_simplify), leaving the agent unable to tell why it would pick this one over that one.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

There is no statement of when to use this tool versus the duplicate-looking calculate_fraction_operations sibling, nor any prerequisites. 'See list_bundles for related math calculators' is a cross-reference to a discovery tool, not usage guidance for this calculator.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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