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Mathematics 13 Online
iYuko (iyuko):

Simplify Rational Expressions. Tutorial! Check it Out!

iYuko (iyuko):

Recall that a rational number is a number that can be written as 1 integer divided by another integer such as \[3\div4 ~~or~~\frac{ 3 }{ 4 }\]A rational expression is an algebraic expression divided by another algebraic expression. Such as\[(3x+2)\div(x+4) ~~or~~\frac{ 3x+2 }{ x+4 }\]

iYuko (iyuko):

The last fraction is sometimes called a fractional algebraic expression. There is a special restriction for all fractions, including fractional algebraic expressions. The denominator of the fraction cannot be 0. For example, in the expression \[\frac{ 3x+2 }{ x+4}\] The denominator cannot be 0. Therefore, the value of x cannot be -4.

iYuko (iyuko):

We discovered that fractions can be simplified in the following way. \[\frac{ 15 }{ 25 }~=~\frac{ 3\times5 }{ 5\times5 }~=~\frac{ 3 }{ 5}\]This is sometimes referred to as the basic rule of fractions. And can be stated as follows:

iYuko (iyuko):

BASIC RULE OF FRACTIONS: For any polynomials a, b, c \[(b \neq0~~\And~~c \neq0),\]\[\frac{ ac }{ bc }=\frac{ a }{ b }\]

iYuko (iyuko):

Time to Tag people :D @AriPotta @TheAsker2002 @TheSmartOne @Ashleyisakitty @nincompoop @perl @sleepyjess @prettygirl876 @ImaGuest @Callisto @rational @yeye77 @badmood @King.Void. @KendrickLamar2014

OpenStudy (badmood):

~claping~

OpenStudy (badmood):

nice job there

TheSmartOne (thesmartone):

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iYuko (iyuko):

If I left something out, feel free to comment. :)

iYuko (iyuko):

@_kionidawn_xoxo

OpenStudy (anonymous):

im sorry idk it

OpenStudy (perl):

Great works :)

OpenStudy (here_to_help15):

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