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Lesson 20 Section 2 Comparing fractions 



Those fractions are getting smaller. As the denominator  the number of equal parts  gets larger, then the size of each part gets
Also, since onesixth is smaller than onefifth, then two will be smaller than two:
Three will be smaller than three:
And so on. When frations have equal numerators, then the larger the denominator,
Those fractions are getting smaller. In terms of ratios, the ratio of 1 to 2, for example, is greater than the ratio of 1 to 3: When we compare 1 with 2, it appears greater than when we compare it with 3. 



In this sequence,
the fractions are getting larger. Each one is one more of the 6 equal parts into which number 1 has been divided. As for ratios, we say that the ratio of 2 to 5 is smaller than the ratio of 3 to 5: 2, when compared with 5, appears smaller than 3 when compared with 5. Example 1. Arrange these from smallest to largest:
numerator; therefore
The sequence is
In Lesson 23 we will see how to compare fractions with different numerators and denominators. Please "turn" the page and do some Problems. or Continue on to the Section 3. Introduction  Home  Table of Contents Copyright © 2021 Lawrence Spector Questions or comments? Email: teacher@themathpage.com 