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## #1 2005-09-14 19:51:54

altar
Member
Registered: 2005-09-14
Posts: 5

### very easy problem solving, but I'm just soooooooo bad at this

I decided to get back into learning how to solve these little problems that used to drive me mad when I was a kid. I found a website that explains problem solving by using an example BUT there's a fraction simplification I just don't understand.
The part I don't understand is the simplification of:
by_Faizah=m-(1/3m-4)/4-3  into m/6-2   If someone could explain that to me I'd be most grateful.
(I had to copy the entire image so sorry it's very long..)

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## #2 2005-09-14 20:42:46

ganesh
Moderator
Registered: 2005-06-28
Posts: 21,812

### Re: very easy problem solving, but I'm just soooooooo bad at this

by_Faizah=m-(1/3m-4)/4-3
This should be written as   {[m-(1/3m-4)]/4}-3

= {[m - 1/3m +4]/4}-3

= {[2/3m+4]/4}-3

= {[(2m+12)/3]/4}/ - 3

= {[2m+12]/12} - 3

= {[2m+12]-36}/12

= {2m - 24}/12

= m/6 - 2

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #3 2005-09-14 21:00:45

altar
Member
Registered: 2005-09-14
Posts: 5

### Re: very easy problem solving, but I'm just soooooooo bad at this

Thanks   I think I got it, but I must work on my algebra. m-1/3m = 2/3m is so obvious but my brain refuses to see it.. aaah my head!

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## #4 2005-09-14 21:24:06

altar
Member
Registered: 2005-09-14
Posts: 5

### Re: very easy problem solving, but I'm just soooooooo bad at this

just a little question here,
you wrote:
= {[2m+12]/12} - 3

= {[2m+12]-36}/12

= {2m - 24}/12

= m/6 - 2

Would the following be correct also?
= {[2m+12]/12} - 3

=  [2m/12] +1-3

= m/6 - 2

?

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## #5 2005-09-14 22:10:43

ganesh
Moderator
Registered: 2005-06-28
Posts: 21,812

### Re: very easy problem solving, but I'm just soooooooo bad at this

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #6 2005-09-14 23:16:49

altar
Member
Registered: 2005-09-14
Posts: 5

### Re: very easy problem solving, but I'm just soooooooo bad at this

= {m - [1/3m -4] - [m/6 -2]  /2} -2
The result is given: m/4+1
= {m - [1/3m -4] - [m/6 -2]  /2} -2
= {       2/3m +4  - [m/6 -2]  /2} -2
= {       2/3m +4  - [m/6 -12/6]  /2} -2
=         2/6m +2  - [m/12 +12/12]   -2
=         4/12m +2  - m/12 +1   -2
=         m/4 +1

Was that right? (I always get some sign changes wrong..)

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## #7 2005-09-14 23:45:45

ganesh
Moderator
Registered: 2005-06-28
Posts: 21,812

### Re: very easy problem solving, but I'm just soooooooo bad at this

altar wrote:

= {m - [1/3m -4] - [m/6 -2]  /2} -2
The result is given: m/4+1
= {m - [1/3m -4] - [m/6 -2]  /2} -2
= {       2/3m +4  - [m/6 -2]  /2} -2
= {       2/3m +4  - [m/6 -12/6]  /2} -2

= {2/3m +4 - m/12 +1}-2

= {2/3m - m/12 + 5} - 2

= 11/12m + 5 - 2

= 11/12m + 3

= (11m+36)/12

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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## #8 2005-09-15 01:35:36

altar
Member
Registered: 2005-09-14
Posts: 5

Thanks a lot

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## #9 2005-09-17 03:08:17

i need help
Guest

### Re: very easy problem solving, but I'm just soooooooo bad at this

There are three houses in a row and in the other side there are three fountains, each house must take water from each fountain without the pipes intersecting. The problem must be solved in two dimensions.

## #10 2005-09-17 03:33:04

kylekatarn
Member
Registered: 2005-07-24
Posts: 445

### Re: very easy problem solving, but I'm just soooooooo bad at this

i need help wrote:

There are three houses in a row and in the other side there are three fountains, each house must take water from each fountain without the pipes intersecting. The problem must be solved in two dimensions.

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## #11 2006-03-29 12:38:36

kenner101
Guest

### Re: very easy problem solving, but I'm just soooooooo bad at this

WeLl,
i KiNdA' gEt It BuT nOt mUcH!!!!!!!!!!!!!!!!!!!!!

## #12 2006-04-08 21:48:50

hope
Guest

### Re: very easy problem solving, but I'm just soooooooo bad at this

altar wrote:

I decided to get back into learning how to solve these little problems that used to drive me mad when I was a kid. I found a website that explains problem solving by using an example BUT there's a fraction simplification I just don't understand.
The part I don't understand is the simplification of:
by_Faizah=m-(1/3m-4)/4-3  into m/6-2   If someone could explain that to me I'd be most grateful.
(I had to copy the entire image so sorry it's very long..)
http://www.hawaii.edu/suremath/k4_12dir … mints1.GIF