Fractions, Decimals, and Arithmetic

Doing maths out loud in Polish exposes a cluster of points that textbooks usually skip: fractions are built from feminine ordinals, the decimal separator is a comma read as przecinek, and "one and a half" is a single word, półtora, that even has its own gender forms and governs the genitive. None of this maps cleanly onto English, so this page is about reading numbers aloud correctly, not just recognising them on the page.

Fractions are feminine ordinals

A Polish fraction is read as "[cardinal numerator] [ordinal denominator, feminine]". The denominator is feminine because the noun część "part" is understood: jedna druga literally means "one second (part)" = ½.

FractionPolishLiteral
½jedna drugaone second(-part)
jedna trzeciaone third
¼jedna czwartaone fourth
¾trzy czwartethree fourths
dwie trzecietwo thirds
dwie piątetwo fifths

Zostały nam tylko dwie trzecie budżetu.

We have only two thirds of the budget left.

Dolej jeszcze jedną czwartą szklanki mleka.

Add another quarter of a glass of milk.

The numerator agrees in gender with the feminine denominator: jedna (not jeden), dwie (not dwa). And the denominator pluralises like an adjective: trzeciatrzecie after a numerator above one (dwie trzecie, trzy czwarte).

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Read fractions as feminine ordinals because część "part" is the hidden noun. So ½ = jedna druga, ¾ = trzy czwarte. The whole fraction can then be declined like any adjective+noun phrase: bez jednej trzeciej "without one third" (genitive).

pół, ćwierć, and półtora — the everyday fractions

For the common quantities, Polish has dedicated words rather than spelled-out fractions:

  • pół — "half". Indeclinable in compounds, and the following noun goes into the genitive: pół godziny "half an hour", pół kilo "half a kilo".
  • ćwierć — "a quarter" (note ć twice). ćwierć kilo "a quarter-kilo".
  • półtora — "one and a half". A single word, masculine/neuter form półtora, feminine form półtorej, and it governs the genitive singular.

Czekałem pół godziny na autobus.

I waited half an hour for the bus.

Kup ćwierć kilo szynki.

Buy a quarter-kilo of ham.

Mieszkam tu od półtora roku.

I've been living here for a year and a half.

Lekcja trwała półtorej godziny.

The lesson lasted an hour and a half.

The półtora / półtorej split is the surprise. Rok "year" is masculine, so "a year and a half" is półtora roku. Godzina "hour" is feminine, so "an hour and a half" is półtorej godziny. English has nothing like a gendered "and-a-half".

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półtora (m./n.) vs półtorej (f.) both mean "1.5" and both take the genitive singular of the noun: półtora roku but półtorej godziny. The noun is singular even though the quantity is more than one — this is a frozen historical construction.

Decimals: the comma is read przecinek

Continental Europe writes the decimal separator as a comma, and Polish reads it aloud as przecinek "comma" — never as "point". So 3,14 is trzy przecinek czternaście.

Liczba pi to w przybliżeniu trzy przecinek czternaście.

The number pi is approximately three point one four (3.14).

Temperatura spadła do minus dwa przecinek pięć stopnia.

The temperature dropped to minus two point five degrees.

A more formal reading spells out the place value: 2,5 can be read dwa i pięć dziesiątych "two and five tenths", and 3,14 as trzy i czternaście setnych "three and fourteen hundredths" — using the feminine-ordinal fraction logic from above (dziesiąta "tenth", setna "hundredth").

Wzrost gospodarczy wyniósł dwa i pięć dziesiątych procenta.

Economic growth came to two point five percent.

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Two registers for decimals: the quick everyday reading uses przecinek (dwa przecinek pięć); the precise/scientific reading uses place-value fractions (dwa i pięć dziesiątych). Both are standard. The one thing you must not do is say "point" — the separator is a comma.

Percentages: procent

The word is procent. After a counted number it appears in a frozen genitive-plural-looking form procent (which happens to be identical to the nominative singular), so it does not visibly change:

Tylko pięć procent ankietowanych poparło ten pomysł.

Only five percent of those surveyed supported the idea.

Ceny wzrosły o dwadzieścia procent.

Prices rose by twenty percent.

Sto procent uczniów zdało egzamin.

One hundred percent of students passed the exam.

The thing being measured goes into the genitive (pięć procent ankietowanych "five percent of the respondents"), and "by X percent" uses o + accusative (o dwadzieścia procent).

Arithmetic vocabulary

Spoken arithmetic uses a small fixed vocabulary. Note that each operation has both a noun/connector and a verb form:

OperationReadingVerb form
+plus / idodać "to add"
minusodjąć "to subtract"
×razy "times"pomnożyć "to multiply"
÷przez "divided by"podzielić "to divide"
=równa się / jest / to

Dwa plus dwa równa się cztery.

Two plus two equals four.

Sześć razy siedem to czterdzieści dwa.

Six times seven is forty-two.

Dwadzieścia przez cztery równa się pięć.

Twenty divided by four equals five.

Ile to jest dziewięć minus trzy?

What's nine minus three?

Note przez doubles as "divided by" here — the same preposition you meet elsewhere governing the accusative. Razy is invariable ("times"). For the casual "equals", Poles very often just say to or jest rather than the full równa się: dwa i dwa to cztery.

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The everyday equals is to: trzy razy trzy to dziewięć. Równa się is the careful, school-board version. And przez means "divided by", so osiem przez dwa to cztery — don't read przez as "through" in a maths context.

Common Mistakes

❌ Trzy kropka czternaście.

Incorrect — the decimal separator is read as 'comma', not 'dot'.

✅ Trzy przecinek czternaście.

Three point one four (3,14).

English speakers reach for "point/dot" (kropka), but Polish writes and reads the separator as a comma (przecinek).

❌ Mieszkam tu od półtora godziny.

Incorrect — godzina is feminine, so it needs półtorej.

✅ Mieszkam tu od półtorej godziny.

I've lived here for an hour and a half.

półtora is the masculine/neuter form; with the feminine godzina you need półtorej.

❌ Zostały dwie trzecia budżetu.

Incorrect — the denominator pluralises after a numerator above one.

✅ Zostały dwie trzecie budżetu.

Two thirds of the budget remain.

After dwie, trzy, etc., the feminine-ordinal denominator goes plural: trzecia → trzecie, czwarta → czwarte.

❌ Czekałem pół godzinę na autobus.

Incorrect — pół governs the genitive.

✅ Czekałem pół godziny na autobus.

I waited half an hour for the bus.

pół takes the genitive: godzina → godziny, not the accusative.

❌ Jeden druga to połowa.

Incorrect — the numerator must be feminine to agree.

✅ Jedna druga to połowa.

One half is a half (½ is a half).

The numerator agrees with the feminine denominator: jeden → jedna, dwa → dwie.

Key Takeaways

  • Fractions = cardinal numerator + feminine ordinal denominator (jedna druga, trzy czwarte); the whole phrase declines like an adjective.
  • pół
    • genitive ("half"), ćwierć ("quarter"), and półtora / półtorej
      • genitive singular ("1.5", gendered).
  • Decimals use a comma, read przecinek (or the place-value …dziesiątych / …setnych in formal speech) — never "point".
  • Arithmetic: plus, minus, razy, przez, równa się (or the casual to).

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Related Topics

  • Writing Numbers, Dates, and AbbreviationsA2How Polish writes ordinals, dates, times, and the high-frequency abbreviations — and why the month in a date is always genitive.
  • How Numbers Govern Noun Case (the 2-4 vs 5+ Rule)B1The central rule of Polish numeral syntax: 1 takes nominative singular, 2-4 take nominative plural, and 5 and up flip the noun into the genitive plural — plus the teens exception and compound numbers.
  • Ordinal Numbers: pierwszy, drugi, trzeciA2How Polish ordinals work as full adjectives that agree in gender, number, and case — used for floors, ranking, and dates.
  • Genitive After Numbers and Quantity WordsA2Why numbers from five up — and most quantity words like dużo, mało, kilka — put the counted noun into the genitive plural, and how this differs from 2-4.
  • Talking About Money and PricesA2The everyday language of money in Polish — Ile to kosztuje?, prices in złote / złotych and grosze / groszy, paying kartą vs gotówką, reszta ('change'), and the verbless affordability idiom stać kogoś na coś ('to be able to afford').