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Comparing and Ordering Fractions: A Guide to Distances in Kayaking

This guide focuses on comparing and ordering fractions using the least common denominator (LCD). You'll learn how to determine which of two distances is greater by comparing fractions, illustrated through Julie and Seth's kayaking trip. The process involves finding the LCD, converting fractions, and comparing numerators. Examples are provided for better understanding, including ordering a set of fractions from least to greatest. Engage in practice questions to reinforce your skills in fraction comparison and ordering.

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Comparing and Ordering Fractions: A Guide to Distances in Kayaking

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Presentation Transcript

  1. 4.5 Goal: Comparing and Ordering Fractions • Something to think about? • Julie and Seth are kayaking down a river. Julie kayaks a distance of 7/10 mile, and Seth kayaks 3/4 of a mile. Who kayaked the greater distance?

  2. Definition The LEAST COMMON DENOMINATOR (LCD) of two or more fractions is the least common multiple of the denominators. When comparing two or fractions: • Find the LCD of the fractions • Use the LCD to write equivalent fractions. • Compare the numerators.

  3. Example 1: Comparing Fractions Using LCD • To find who kayaked the greater distance we just talked about you need to compare 7/10 and 3/4

  4. Example 2: Ordering Fractions • Order the fractions 2/3, 3/8, 1/6, and 3/4 from least to greatest.

  5. Your Turn!!! • Copy and complete the statement using <> or =. • 5/8 __ 7/12 • 5/6__ 9/10 • 3/14__1/4

  6. Example 3: Comparing Fractions using Approximation • Use approximation to tell which fraction is greater, 13/24 or 15/34.

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