Table of Contents

Motivation Question

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Basic Concept of Fractions

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Basic Fraction Ideas

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Equivalent Fractions

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Finding Simplest Form

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Bar Diagrams

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Ratio

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Ratio-Fraction Word Problems

Motivation Question

How would you answer this question?

MSUM is hosting a six kilometer women's cross-country meet at Johnson Park on a course that is two kilometers long. Pat completed two laps. How much of the race has she completed?

There are two ways that people may state the solution to the problem. Since prior to this session we have used only whole numbers, we would probably have answered the question by saying that Pat has completed four kilometers of the race and has two kilometers left to run. But, we could also state the solution using fractions by saying that Pat has completed two-thirds of the race and has one-third of the race remaining.

Though this problem allows us to use either whole numbers or fractions to state the solution, many problems are best stated using only fractions.


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