Graphing Linear Equations In Standard Form Page 2

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So far in this course you have learned a lot about rational expressions. You have learned how to simplify
complex algebraic fractions by factoring the numerators and denominators. You have also learned how to
multiply and divide rational expressions. What else is there? Today you will develop a method to add and
subtract algebraic fractions.
3-97. With your team, read your directions for Monica’s sister from homework problem 3-92. Verify that
everyone obtained the same answer and be prepared to share how you added the fractions with the
class.
+
a. Now Monica’s sister wants to know why? Why does she have to do all of those steps with the
common denominator? What is a fraction anyway, and why does adding them have to be so
complicated? Draw some pictures or diagrams or make up some situations that will help her to
know what fractions like
and
mean.
b. Now use your ideas from part (a) to show Monica why she needs a common denominator to
add the two fractions.
3-98. Extend the procedures your class developed for numerical fractions to add these algebraic
fractions.

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