New News Algebra #4

Understanding Fractions

Idea: Rational Expression = two algebraic expressions written as a ration (variables & fractions combined)

Fraction fundamentals:

A number over itself = one

e.g. (x+5)/(x+5)=1

e.g. (2x2)/(2x2)=1

A number over one = itself

e.g. (3x-2)/1=3x-2

e.g. (10x2-2)/1=10x2-2

To increase a fraction by a variable = numerator * variable / denominator

e.g. (N*2x2)/x=(2x2*N)/x

e.g. (A*3x3)/2x=(3x3*A)/2x

4. a fraction’s numerator & denominator both times same variable = original fraction

e.g. a/b=(an)/(bn)

e.g. (2x)/(2a)=x/a