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PolarisHub

Math-MCP

by PolarisHub

simplify_fraction

Reduce a fraction to lowest terms using integer strings, preserving precision for large numbers beyond JSON's safe integer range.

Instructions

Reduces a fraction exactly using integer strings, preserving values larger than JSON's safe integer range

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
numeratorYesInteger numerator as a decimal string
denominatorYesNon-zero integer denominator as a decimal string
Behavior2/5

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

With no annotations, the description carries the full burden, but it does not disclose the return format, error handling for zero denominator, or how the result is presented. The agent cannot infer the output structure from a single sentence.

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

Conciseness5/5

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

Single sentence front-loaded with the main action, no fluff. Every word adds value.

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

Completeness3/5

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

Despite the tool's simplicity, the description fails to mention the return value (expected to be simplified numerator and denominator as strings). With no output schema, this is a notable gap affecting completeness.

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

Parameters4/5

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

Schema coverage is 100%, but the description adds the critical context that strings preserve large integers beyond JSON safe range, which adds meaning beyond the schema's basic pattern descriptions.

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

Purpose5/5

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

The description clearly states the verb 'Reduces' and the resource 'fraction', and emphasizes the preservation of large integer values, distinguishing it from sibling tools like fraction_arithmetic that perform other operations.

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?

No explicit guidance on when to use this tool versus alternatives (e.g., greatest_common_divisor or fraction_arithmetic). The description only hints at use cases involving large integers but does not provide direct comparisons or when-not-to-use conditions.

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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