Warm Up Feb. 17th Take out a piece of paper and answer the following question. (Not a grade… not for the state of Texas… just for me!) Elaborate as much as you’d like. Then bring it to my desk and take out the work from yesterday. Can cell phones be used as educational tools? What is your preferred seating arrangement? (Groups, with friends? Rows, next to friends? Random? Please elaborate.)
Definition of a Rational Expression In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions.
Since they are fractions Simplify a Rational Expression. Divide the same expression from numerator and denominator
Since they are fractions Simplify a Rational Expression. Divide the same expression from numerator and denominator
Since they are fractions There are numbers that will not work in the Rational expression. They are -7, 3 and -3. Why?
Since they are fractions Factor out the denominator. Can you see why -7, 3 and -3 do not work as answers?
Since they are fractions Factor out the denominator. -7, 3 and -3 do not work as answers because they make the denominator zero. They are called Excluded Values.
Simplify Assume the denominator cannot equal zero.
Simplify Assume the denominator cannot equal zero. Factor out a negative one to move things around
Simplify Assume the denominator cannot equal zero.
Simplify Assume the denominator cannot equal zero.
Multiply the fractions Reduce to simplest form
Multiply the fractions Reduce to simplest form. Multiply straight across
Multiply the fractions Reduce to simplest form
Multiply the fractions Reduce to simplest form.
Multiply the fractions Reduce before multiply.
Multiply the fractions Reduce before multiply.
Multiply the fractions Reduce before multiply.
Multiply the fractions Reduce before multiply.
Multiply the fractions Reduce before multiply.
Multiply the fractions Reduce before multiply.
Multiply the fractions Reduce before multiply.
What is the difference of Division and Multiply of fractions? Do you remember?
What is the difference of Division and Multiply of fractions? When dividing you multiply by the inverse of the second fraction.
Divide the Rational Expressions You can only Reduce when Multiplying
Divide the Rational Expressions You can only Reduce when Multiplying
Definition of Complex fraction A fraction with fractions in the numerator or denominator.
How to simplify a Complex fraction Remember fractions are division statements.
Simplify the Complex fraction Remember fractions are division statements.
Simplify the Complex fraction Remember fractions are division statements.
Simplify the Complex fraction
Simplify the Complex fraction
Simplify the Complex fraction