The lyric of a popular song "月亮代表我的心" (YouTube video) contains the phrase "我愛你有幾分".
This is my interpretation:
So I think it should be translated to "I love something you have with few division."
Can't figure where I am wrong.
我 = I
愛你 = love you
有幾分? (in what degree) = how deep? --> how much?
我愛你有幾分? = how deep I love you
分(degree) here is a classifier for depth
Example:
沒半分愛意 (don't have a tiny bit of love) 半分 --> very little/ very lightly
有幾分愛意 (have some degree of love) 幾分 --> mildly
十分愛你 (love you very much); 十分 --> fully
You misunderstand 分 here.
分 does not mean "division" here. Here 分 means the "points" (test score), in an exam or a contest where the perfect score is ten.
分 can also means "perdec" (per ten, a tenth), as a synonym of 成.
三分 three points (out of ten), three perdec (3/10)
五分 five points (out of ten), five perdec (5/10)
十分 ①[original meaning] ten points (out of ten), perfect score, full marks ②[extended meaning] "perfectly", very, extremely
幾分 how many points (out of ten), how many perdec
Assuming that there is an exam called "love", how many points can I get from the exam?
我愛你有幾分？
How many points (out of ten) do I love you?
How many perdec do I love you?
= How much do I love you?
Extra examples:
三分天注定，七分靠打拼。 [famous lyrics]
Three points depend on fate, while seven points depend on hardworking.
3/10 depends on fate, 7/10 depends on hardworking.
[Chinese version of "nature versus nurture"]
逢人只說三分話，未可全拋一片心。[ancient proverb]
Every time you meet a person, you should only tell them three perdec (3/10) of your mind. You should not "throw the entire heart to them" (tell them all your mind).
Some knowledge about the Chinese culture of proportions
Western culture prefers to use "percent" (per hundred, a hundredth), while Chinese culture traditionally uses "perdec" (per ten, a tenth), known as 分, 成, 折.
Examples:
三分 = three perdec (three tenths, 3/10)
七分 = seven perdec (seven tenths, 7/10)
八成 = eight perdec (eight tenths, 8/10)
九成 = nine perdec (nine tenths, 9/10)
折 is only used for discounts.
九折 = nine perdec remaining (i.e. 10% discount)
八折 = eight perdec remaining (i.e. 20% discount)
八五折 (8.5折) = 8.5 perdec remaining (i.e. 15% discount)
Disputes
As 分 is also a traditional Chinese unit of length, which is currently defined as ⅓ centimetre (in mainland China) or 10/33 centimetre (in Taiwan), some people believe that it is better to parse it as the depth of love measured in this length unit, instead of points or perdecs.
Examples:
入木三分 [idiom]
[literally] into the wood for three fen of depth
[figuratively] written in a forceful hand, penetrating, profound
Wait, this dispute might really be the different usage of 分 between mainland China and Taiwan, because the dictionaries really shows different definitions:
Xiandai Hanyu Cidian dictionary from mainland China:
⑧ 十分之一（用于某些计量单位或抽象事物）：分米 | 分升 | 九分成绩，一分缺点
⑧ a tenth (for some units or something abstract): 分米 (decimetre) | 分升 (decilitre) | 九分成绩，一分缺点 (nine tenths of achievement, and one tenth of shortcoming)
Ministry of Education Mandarin Chinese Dictionary from Taiwan:
(6) 計算程度深淺的單位。如「一分努力，一分收穫。」「逢人只說三分話。」
(6) A unit to measure depth, e.g. 一分努力，一分收穫 (one fen of hardworking produces one fen of rewards) and 逢人只說三分話 (every time you meet a person, you should only say three fen of words)
几分 can mean either 几成/十分之几(n/10) or 一些(a bit) according to context.
几成；十分之几(n/10)
E.g. 有几分把握? 我有十分把握/我有十成把握.
In your context, 几分 means a few, a little, some or somewhat/somehow.
So, 我爱你有几分: I somehow love you. Or I love you a bit.
In the song the pauses/wording were there like this 我愛，你有，幾分。 I love,you have, some seperation.
Now after seeing the answers I think it was meant like this. 我愛你，有幾分。I love you, having some depth.
I have some depth in loving you.
