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Learn how to compare unit fractions with different denominators and numerators. Understand that in unit fractions, the smaller the denominator, the greater the fraction if numerators are the same. Get practice examples to master the concept.
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Unit fractions Unit fractions are fractions having 1 as its numerator. For example, compare 1/7 and 1/5. One can conclude that 1/5 > 1/7 by observing the diagram. So, in unit fraction the larger the denominator the smaller will be the fraction. Hence, we conclude that if the numerators are the same in two fractions, the fraction with the smaller denominator is greater of the two
Example 1: Compare 1/3 and 1/7 Solution: We know that larger the denominator, the smaller will be the fraction. Here, 7is greater than 3. 1 1 > 7 3 Ans: 1/3 is greater than 1/7 Example 2: Which is lesser? 1/7 or 1/12? Solution: We know that larger the denominator, the smaller will be the fraction. Here, 12 is greater than 7. 1 1 < 7 12 Ans: 1/12 is lesser than 1/7
Try These • Compare 1/8 and 1/5 • Which is greater? 1/15 or 1/10?