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Strategies for Comparing Fractions
Unit 1 Lesson 4 Strategies for Comparing Fractions
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Compare the following sets of numbers using a greater than >, less than < or equal sign =.
3, ,020 99, ,000
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Comparing You can use a visual
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However it is easier to use unit fractions!
Comparing You can use a visual However it is easier to use unit fractions!
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Comparing Both fractions have the same number of unit fractions-which is 2. One fractions has two-fifths, the other has two-sevenths. Which is bigger- a fifth or a seventh? If you had a pizza, would you rather share it with five people or seven people? If you share it with five people you would get a bigger piece, so fifths are larger than sevenths. So two-fifths would be larger than two-sevenths.
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How would we compare and
There are a variety of ways to compare these fractions, but creating fractions with common denominators is often the easiest way. If we look at these two fractions, one denominator is a factor of the other. If we use 8 as our common denominator, we will only have to change one fraction. After creating two fractions with common denominators, it is much easier to compare the fractions.
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How would we compare and
One is the only number that is a factor of both numbers. We will need to change both denominators. The product of 5 and 7 is 35, which will work for the common denominator. This method will always work!
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How would we compare and
Once again we will need to change both denominators. The product of 6 and 9 is 54, which will work for the common denominator. However, we know that both 6 and 9 will go into 18, so that will be a better denominator to use.
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