newby needing to know how to combine a natural number and an algebraic fraction

Im new to algebra and need to know how:

1 + 2/x^2 + 4 can be combined into 1 term

thanks

Nov 15th 2011, 03:17 PM

e^(i*pi)

Re: newby needing to know how to combine a natural number and an algebraic fraction

Quote:

Originally Posted by ahdavewest751

Im new to algebra and need to know how:

1 + 2/x^2 + 4 can be combined into 1 term

thanks

Are you familiar with adding numerical fractions? If so you know that to add fractions we need to have a common denominator.

Spoiler:

For example . For integers (whole numbers) you learned that you multiply top and bottom but whatever suited.

First you may as well say that to make our life easier

It is the same principle with algebra, you want to get it so that have the same denominator. So what would you multiply by to get a common denominator?

Nov 15th 2011, 03:32 PM

ahdavewest751

Re: newby needing to know how to combine a natural number and an algebraic fraction

ok so I tried this:

1 + 2/x^2 + 4 =

1/x^2 + 4 + 2/x^2 + 4 =

then multiplied the top left numerator by the bottom right denominator and added the numerator to get:

x^2 + 6/x^2 + 4

is that the way its done?

Nov 15th 2011, 04:51 PM

Quacky

Re: newby needing to know how to combine a natural number and an algebraic fraction

I'm extremely confused. Is it:

, or:

The lack of brackets implies the former; your working out (and logic) implies the latter is actually the case, however.

Nov 15th 2011, 05:36 PM

takatok

Re: newby needing to know how to combine a natural number and an algebraic fraction