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 August 7th, 2017, 08:50 AM #1 Newbie   Joined: Jun 2017 From: America Posts: 7 Thanks: 0 Equivalent fraction of "ONE" Hello guys, what is up? Well, today I'm going to talk about FRACTIONS. There's a curious property in fractions and as simple as it seems however I couldn't figure it out. I'm still trying get the idea. Such property's going to be illustrated down: First we have a general property that says: "The whole is equal all its parts". Now a more particular fraction's property: "Any fraction of any number is equal to that number of times a fraction of 1" 1 1 2 I.E: ---- of 2 = 2 * ---- of 1 or ---- of 1 3 3 3 N N AN Generally: ---- of A = A * ---- of 1 or ---- of 1 M M M Of course this must be proposed only in applicate numbers for 2 cannot be divisible by 3, then I got to the point where I get stuck: 1 2 2 I.E: ---- of 2 days = ---- of 1 day, it fits because still ---- it's only 3 3 3 2 a part of a day, --- of a day cannot be greater than one day, hence I never 3 heard that a part be greater than the whole. Now a last one mere: L = Pound p = Pence 2 2 12 1L = 240 pence then ----> ----- of 6L = 6 * ---- of 1L or ------ of 1L 3 3 3 12 2 if you calculate it, you'll see that ----- of 1L is really = ---- of 6L, 3 3 12 12 but how could ----- be part of 1L if ----- the supposed part is greater than 3 3 1L? Here are the values: 6L = 1440 pence 2 12 ---- of 6L = 960 pence or 4 pounds, and ------ of 1L = 960P or 4P 3 3 12 Again: How may ----- be part of 1L if 960P > 1L ( 4L > 1L) ? 3 "Is all its parts greater than the whole?" I'll be very thankful for any answer! Thanks a lot for the attention guys, and have a nice day! Bye! Last edited by skipjack; August 7th, 2017 at 03:36 PM.
 August 7th, 2017, 10:34 AM #2 Global Moderator   Joined: Dec 2006 Posts: 18,440 Thanks: 1462 Fractions needn't be "parts". Obvious examples of fractions are 1/2 and 2/3. In general, though, fractions can be of the form 3/2 or 18/5. For the rule that the whole equals (the sum of) its parts, those parts wouldn't exceed the whole. Of course, it's still true that 3 = 4/3 + 3/2 + 1/6. In that example, the whole exceeds 1, so its parts can also exceed 1, but they don't exceed 3. Thanks from Jeff Guercio
 August 7th, 2017, 01:36 PM #3 Newbie   Joined: Jun 2017 From: America Posts: 7 Thanks: 0 Hey skipjack, well done! Even with that mess you get it right, thanks a lot! Just now, I see the mess I made in my post; I'll try to fix it. Last edited by skipjack; August 7th, 2017 at 03:34 PM.
August 7th, 2017, 02:36 PM   #4
Newbie

Joined: Jun 2017
From: America

Posts: 7
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Fixed the mess in my thread

Quote:
 Originally Posted by Jeff Guercio Hello guys, what is up? Well, today I'm going to talk about FRACTIONS. There's a curious property in fractions and as simple as it seems however I couldn't figure it out. I'm still trying get the idea. Such property's going to be illustrated down: First we have a general property that says: "The whole is equal all its parts". Now a more particular fraction's property: "Any fraction of any number is equal to that number of times a fraction of 1" EXAMPLE: 1/3 of 2 = 2 * 1/3 of 1 or 2/3 of 1 Generally: N/M of A = A * N/M of 1 or AN/M of 1 Of course this must be proposed only in applicate numbers for 2 cannot be divisible by 3, then I got to the point where I get stuck: EXAMPLE: 1/3 of 2 days = 2/3 of 1 day, it fits because still it's only a part of a day, 2/3 of a day cannot be greater than one day, hence I never heard that a part be greater than the whole. Now a last one more: L = Pound P = Pence 1L = 240 pence then ----> 2/3 of 6L = 6 * 2/3 of 1L ( or 12/3 of 1L). If you calculate it, you'll see that 12/3 of 1L is really = 2/3 of 6L, but how could 12/3 be part of 1L if 12/3 the supposed part of 1L, is greater than 1L? Here are the values: 6L = 1440 pence 2/3 of 6L = 960 pence or 4 pounds, and 12/3 of 1L = 960P or 4L Again: How may 12/3 be part of 1L if 960P > 1L ( 4L > 1L) ? "Is all its parts greater than the whole?" I'll be very thankful for any answer! Thanks a lot for the attention guys, and have a nice day! Bye!
Sorry for the mistakes in the first thread.

Last edited by skipjack; August 7th, 2017 at 03:39 PM.

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