Why is [tex]\frac{6}{8}[/tex] greater than [tex]\frac{5}{8}[/tex] but less than [tex]\frac{7}{8}[/tex]?

Because when the denominator is the same for all the numbers. You just think of it as counting whole numbers, and when you do that you find that 6 is greater than 5, and less than 7.

Answered by samswaggn | 2024-06-10

Understanding why 6/8 is greater than 5/8 but less than 7/8 can be simplified by looking at the fractions with a common denominator. In this case, all fractions have the denominator 8, making it easier to compare the numerators directly. When comparing fractions with the same denominator, the fraction with the larger numerator is larger because it represents a larger portion of the whole.
For example, 6/8 represents six parts out of eight, 5/8 represents five parts out of eight, and 7/8 represents seven parts out of eight. It's evident that six parts is more than five parts but less than seven parts. Therefore, 6/8 is larger than 5/8 because 6 is greater than 5, and 6/8 is smaller than 7/8 because 6 is less than 7. This application of fraction comparison is a fundamental principle in mathematics that helps us understand the relative sizes of different parts of a whole.

Answered by BenicioBrody | 2024-06-24

The fraction 8 6 ​ is greater than 8 5 ​ because 6 is greater than 5, and it is less than 8 7 ​ because 6 is less than 7. Since all fractions share the same denominator, we can compare the numerators directly. Thus, we find that 5 < 6 < 7 .
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Answered by samswaggn | 2024-10-01