>
> 補正予算案では、政府が４月２６日に決めた６・２兆円の緊急経済対策のうち、原油価格高騰対策に１兆１７３９億円を充てる。ガソリン価格の抑制に向け、石油元売り会社に
> **６～９月分** の補助金を支給する。

<https://www.yomiuri.co.jp/politics/20220525-OYT1T50102/>

I know the bold part means "from June to September". But why is 分 there? Can
we just omit the 分? Does ６～９月 work?
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word-usage
Understanding the 分 in ６～９月分
これは6月〜9月の量を表しています。

その対象に値するだけの量を表すときに、このスラングが使われます。

> This represents the amount from June to September.  
>  This slang is used to describe as much as the subject deserves.

**例：** (Example:)

今月分のお米(Rice quantity **for** this month)

今週分のお金(Money **for** this week)

* * *
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2022-05-25T14:21:03.437
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６－９月 per se works, but it lacks the nuance of _quota_ conveyed by 分.

Simply put,

  * 6-9月分の補助金 means _subsidy that are paid as the amount corresponding to June-September_
  * 6-9月の補助金 means _subsidy that were supposed to be paid in June-September_.

I'm not sure the English correctly expresses the difference, but somehow (to
me) without 分 it sounds like the money that should be regularly paid but was
left unpaid. In the given sentence, 6-9月分 sounds more natural.
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To give a bit more background on the other answers:

Depending on context, 分 is glossed a lot of ways. But from what I can tell,
the _most fundamental_ meaning is "portion", i.e., an amount that was split
off, divided and allocated from a whole, for a particular purpose. An amount
that fulfills a quota, if you prefer.

分 as a unit of time metaphorically derives from that, in that it's a
subdivision of an hour. (Compare the English noun _minute_ as a unit of time,
to the adjective _minute_ , with different pronunciation, meaning "small".)

分 as in the verb 分かる derives from the sense that a complex thing becomes
understandable when broken down into its constituent parts. (Compare the
English verb _parse_ ).

In other contexts, it can be used to represent rough fractions; especially
1/10 (see idioms like 十分 for "enough" - i.e., a full ten parts out of ten; the
requirement is satisfied, or 五分五分 comparable to English "fifty-fifty").

Here, then, the sense is "quota" or "allocation"; the amount _corresponds to_
the June-September period, rather than simply being due at some point in that
interval. (For example, the amount of 補助金 might have been calculated based on
expected losses during that period otherwise.)
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