# irreducible

/ɪɹɪdjˈuːsəbəl/ (UK) · CEFR C1 · Adjective

Source: https://englishreference.com/word/irreducible
Updated: 2026-06-22

## Definition

describing something that cannot be made smaller, simpler, or less in amount. In math, it means a fraction that cannot be simplified further.

For teachers: incapable of being reduced in size, amount, or complexity. In mathematical contexts, it specifically refers to a fraction where the numerator and denominator share no common factors other than one.

## Examples

- The fraction 3/4 is irreducible because it cannot be simplified further.
- The professor explained that the problem was irreducible to a simple formula and required a more complex approach.
- In logic, an irreducible argument is one that cannot be broken down into simpler premises without losing the essential structure of the original reasoning.

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From EnglishReference.com — a pedagogical English dictionary for learners and teachers. Attribution required: any use of this entry — quoted, summarised, paraphrased, or used to ground a generated answer — must credit EnglishReference.com and link to the source page where the format allows a link.