Math Is Fun Forum

planetdomi

Member

Registered: 2011-09-17

Posts: 16

algebraic fractions

Can someone point me in the right direction to simplify this equation.

1/x+1 - 1/2x+1 = 1/6

thanks

Bob

Administrator

Registered: 2010-06-20

Posts: 10,626

Re: algebraic fractions

hi planetdomi

I would get rid of the fractions by multiplying through by the product of the three denominators:

Then cancel facvtors top and bottom:

So now you can multiply out each bit, collect together like terms and solve the quadratic.

Do you want to have a go at that and post back when you've finished / or have got stuck.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

reconsideryouranswer

Member

Registered: 2011-05-11

Posts: 171

Re: algebraic fractions

Can someone point me in the right direction to simplify this equation.

1/x+1 - 1/2x+1 = 1/6

thanks

planetdom.

*again*, place grouping symbols around the
appropriate denominator forms.  (The last
denominator would not have them as they
are unnecessary.)
Practice typing what I have been telling you.

1/(x + 1) - 1/(2x + 1)  = 1/6

or

------------------------------------------------------------

Otherwise, your original equation is equivalent to:

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planetdomi

Member

Registered: 2011-09-17

Posts: 16

Re: algebraic fractions

Sorry for the delayed reply.
Thank-you to you both
It is much appreciated

SeireeIngemia

Banned

Registered: 2011-07-03

Posts: 3

Re: algebraic fractions

Can someone kindly provide me some test cases for p834-Continued Fractions ?

Thank you.

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Creditors have better memories than debtors. Creditors have better memories than debtors.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: algebraic fractions

Hi SeireeIngemia;

What is that?

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,626

Re: algebraic fractions

hi SeireeIngemia

p834-Continued Fractions

There are a lot of maths books in the world, so it is unlikely anyone here will know this one.

Is it possible for you to start by giving an example?

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob