Equation 16 · Part 4 · Measuring What a RAG System Retrieves, Not Just What It Answers
Denominator: total claims in the response
What this part means
The complete quantity below the fraction bar; it must be nonzero for this division.
Its job in the formula
total claims in the response occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.
Full expression→Denominator: total claims in the response→Article meaning
The passage around this formula
Ragas is a widely used reference-free evaluation framework built explicitly around this separation: it scores retrieval effectiveness, the faithfulness with which a model uses retrieved passages, and generation quality, without requiring a human-written ground-truth answer for every query [ 4 ] . Its faithfulness metric is defined mechanically rather than as a vague notion of “sounding grounded”: a response is decomposed into individual factual claims, each claim is checked against the retrieved context to see whether it can be inferred from it, and the score is the resulting ratio, as the framework’s own documentation states [ 5 ] : . Notice what this formula does and…
Learn the underlying idea
A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.
Open the illustrated fractions: division written vertically guide →
Sources cited in the surrounding passage
- [4] Ragas: Automated Evaluation of Retrieval Augmented Generation ↗
- [5] Faithfulness: RAGAS Metrics Documentation ↗
These citations provide research context; check each source for the exact claim it supports.