In this session, you will explore the relationships between fractions and decimals and learn how to convert fractions to decimals and decimals to fractions. You will also learn to predict which fractions will have terminating decimal representations and which will have repeating decimal representations.

If you think about fractions and their decimal representations together, there are many patterns you can observe (which are easy to miss if you only think about them separately).

Part A:

Fractions to Decimals

Part B:

Decimals to Fractions

Part C:

Ordering Fractions

 Homework

 In this session, you will do the following: • Understand why every rational number is represented by either a terminating decimal or a repeating decimal • Learn to predict which rational numbers will have terminating decimal representations • Learn to predict the period -- the number of digits in the repeating part of a decimal -- for rational numbers that have repeating decimal representations • Understand how to convert repeating decimals to fractions • Understand how to order fractions without converting them to decimals or finding a common denominator

 Throughout the session you will be prompted to view short video segments. In addition to these excerpts, you may choose to watch the full-length video of this session.
 Previously Introduced: New in This Session:
 Session 7: Index | Notes | Solutions | Video