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

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,714

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

Character is who you are when no one is looking.

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

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

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,714

Character is who you are when no one is looking.

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

How about this one?

= {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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 16,714

altar wrote:

How about this one?

= {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

Character is who you are when no one is looking.

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

Thanks a lot

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**i need help****Guest**

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.

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

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.

Check your other post.

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**kenner101****Guest**

WeLl,

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

**hope****Guest**

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