Can someone please go through the details on how to solve this? The correct answer is

Edit: Title should read variable Fractions obviously my mistake.

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- Jun 8th 2008, 09:20 AMcmf0106Variable Factions help

Can someone please go through the details on how to solve this? The correct answer is

Edit: Title should read variable F**r**actions obviously my mistake. - Jun 8th 2008, 10:11 AMmasters
- Jun 8th 2008, 11:56 AMcmf0106
I think that clarifies that question a few more on the same subject though.

1.in this example for canceling variables we have

Note that in this example the x in the denominator is applied to the 2 and x in the numerator. Shown here , the x in the denominator goes to both numerators thus

2.However in this example

For the solution the author does not apply the whole denominator to both of the numerators and this is confusing me greatly. Working this problem out we have

why is the 2 + 3x not applied to both parts of this numerator resulting in ?

thanks in advance - Jun 8th 2008, 12:42 PMmasters
The first expression is made up of addends (terms that are added together). You must have a common denominator to combine them.

Your second expression is a product. You do not need a common denominator. You simply multiply numerators and denominators and factor out any common elements in the product or along the way.

reduces to - Jun 8th 2008, 02:17 PMmasters