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September 25, 2025, 04:04:12 am

Author Topic: Whats the numerator?  (Read 2103 times)  Share 

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TrueTears

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Whats the numerator?
« on: September 05, 2009, 12:07:12 am »
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1/(3/2)

is it 1 or 2?
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Flaming_Arrow

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Re: Whats the numerator?
« Reply #1 on: September 05, 2009, 12:29:36 am »
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2
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/0

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Re: Whats the numerator?
« Reply #2 on: September 05, 2009, 12:35:24 am »
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need to specify. Could be 1, 2 or 3

TrueTears

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Re: Whats the numerator?
« Reply #3 on: September 05, 2009, 12:44:22 am »
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It can be both no?

depends on what you denote "numerator"
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dejan91

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Re: Whats the numerator?
« Reply #4 on: September 05, 2009, 01:02:52 am »
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I'd say 2. If you have something like 6/7, you can express it as (3*2)/7 or 3/(7/2) or 2/(7/2)...same thing. Numerator will remain 6.
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/0

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Re: Whats the numerator?
« Reply #5 on: September 05, 2009, 01:41:36 am »
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If you have 3/(7/2) and you let then 3 becomes the numerator?

Some more food for thought:

what is the numerator?

what is the numerator?
« Last Edit: September 05, 2009, 01:43:11 am by /0 »

TrueTears

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Re: Whats the numerator?
« Reply #6 on: September 05, 2009, 01:43:20 am »
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If you have 3/(7/2) and you let then 3 becomes the numerator?

Some more food for thought:

what is the numerator?

what is the numerator?
Yes, that's what I thought as well.
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Mao

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Re: Whats the numerator?
« Reply #7 on: September 05, 2009, 10:59:42 am »
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I'd say 2. If you have something like 6/7, you can express it as (3*2)/7 or 3/(7/2) or 2/(7/2)...same thing. Numerator will remain 6.

does the definition of numerator applies over all equivalent expressions?

Those fractions may look the same, but they are equivalent expressions of each other (they evaluate to the same value), not they are not the same fraction.

though I must say, the use of rigorously defining a numerator is useless.
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kamil9876

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Re: Whats the numerator?
« Reply #8 on: September 05, 2009, 11:33:23 am »
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^ True. But I just hate it how books on continued fractions use "denominator of this is numerator of..." everywhere, get's confusing :/ ... until of course you read the bit on the previous page that you skipped that specifies what they will refer to as numerator :(
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