分之 (fractions)

• Pinyin: fēnzhī
• Formation: Denominator + 分之 + Numerator
• Hanzi breakdown: 分 = 八 (divide) + 刀 (knife), 之 = evolved from a pictograph of a foot stepping forward

Meaning

Chinese expresses fractions in the reverse order of English: denominator + 分之 + numerator. For example, 三分之一 (literally 'of three parts, one') means one-third. This structure is used for all fractions, percentages, and proportions.

The 分之 fraction structure is mathematically precise and used consistently across all contexts — from casual conversation to academic writing. 分 means 'to divide' and 之 is a classical possessive particle meaning 'of,' so the literal reading is 'of X divisions, Y.' Percentages use 百分之 (out of one hundred): 百分之五十 means 50%. For common fractions, Chinese sometimes uses approximate expressions instead, like 一半 for one-half. When used as a modifier before a noun, the fraction takes 的: 三分之二的学生. This reverse ordering compared to English (where 'one-third' states the numerator first) is a common source of confusion for learners.

Examples

1. 全班三分之二的同学通过了考试。 Two-thirds of the class passed the exam.
2. 这个项目已经完成了五分之四。 This project is already four-fifths complete.
3. 地球表面大约十分之七是海洋。 About seven-tenths of the Earth's surface is ocean.

Usage Guide

Context: spoken, written, academic

Tone: informational

Do Say

• 今天来上课的学生只有四分之三。
• 这本书我已经读了十分之六。
• 我们部门有五分之二的人会说两种语言。

Don't Say

• 二之分三的同学迟到了。(The order is denominator + 分之 + numerator — say 三分之二, not 二之分三) → 三分之二的同学迟到了。
• 这个蛋糕我吃了一分之三。(一分之三 means 3/1 which equals 3, not one-third — the correct fraction for 'one-third' is 三分之一) → 这个蛋糕我吃了三分之一。

Origin & History

The Chinese fraction system reads top-down conceptually — 'out of X parts, take Y' — which is the reverse of English 'Y out of X.' The character 分 means 'divide' and 之 is a classical possessive particle, so 三分之一 literally means 'of three divisions, one.'

Cultural Context

Generation: All ages

Social background: Universal