Which is the largest of the following fractions ?Options8/1111/172/33/5
Question
Which is the largest of the following fractions ?Options8/1111/172/33/5
Solution
To find the largest fraction among 8/11, 11/17, 2/3, and 3/5, we can compare them by finding a common denominator and then comparing the numerators.
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Convert all the fractions to have the same denominator:
- Multiply the numerator and denominator of 8/11 by 17 to get 136/187.
- Multiply the numerator and denominator of 11/17 by 11 to get 121/187.
- Multiply the numerator and denominator of 2/3 by 51 to get 102/153.
- Multiply the numerator and denominator of 3/5 by 37 to get 111/185.
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Now that all the fractions have the same denominator, we can compare the numerators:
- 136/187 is the largest numerator, so 8/11 is the largest fraction among the given options.
Therefore, the largest fraction is 8/11.
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