Lesson 20 Section 2
Those fractions are getting smaller. As the denominator -- the number of equal parts -- gets larger, then the size of each part gets
Also, since one-sixth is smaller than one-fifth, 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:
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.
Continue on to the Section 3.
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