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Strategies for Comparing and Ordering Fractions

Learn effective strategies for comparing and ordering fractions in this lesson. Understand how to ensure the denominators are the same by finding a common denominator. We explore methods such as rewriting fractions using the least common multiple (LCM) or by multiplying the original denominators. Alongside practical examples, you'll grasp how to convert fractions to equivalent forms and order them from least to greatest. Boost your understanding of fraction comparison and ordering with these essential techniques.

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Strategies for Comparing and Ordering Fractions

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  1. Comparing and Ordering Fractions Lesson 3-7

  2. Strategy • Make sure the denominators are the same. • Compare the numerators. • If the denominators are not the same, then rewrite the fractions using a common denominator. • The new fractions should be equivalent to the original fractions.

  3. Writing Equivalent Fractions • One way to find a common denominator is to multiply the two original denominators. 5 3 > 4 6 6 x 4 = 24 20 > 18 x 4 x 6 18 20 24 24

  4. Another way to compare fractions is to find the LCM of both denominators. • Use the LCM as the new denominator in the equivalent fractions. 7 5 < 9, 18, 27, 36, 45 9 12 12, 24, 36, 48, 60 20 < 21 x 3 x 4 20 21 36 36

  5. Ordering Fractions • Find the LCM of the denominators. • Use the LCM to write equivalent fractions. • Put the fractions in order using the numerators.

  6. Example - Order from Least to Greatest: 3 2 1 5 8 4 x 8 x 5 x 10 15 16 10 40 40 40 8, 16, 24, 32, 40, 48 1/4 < 3/8 < 2/5 5, 10, 15, 20, 25, 30, 35, 40 4, 8, 12, 16, 20, 24, 28, 32, 36, 40

  7. Homework Time

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