Why is [tex]\frac{6}{8}[/tex] greater than [tex]\frac{5}{8}[/tex] but less than [tex]\frac{7}{8}[/tex]?
Answer (3)
Because if you draw a three pies and cut all of them into 8 pieces and shade 6 in one, 5 in the other, and 7 into the last one, you will see that there is a bigger piece shaded in the one with 6 shaded than the pie with 5 shaded. And less shaded than the one with 7 shaded. Hope I helped :)
6/8 is greater than 5/8 since it has a larger numerator with the same denominator, representing a larger portion of a whole. However, 6/8 is less than 7/8 because 7 is greater than 6, indicating an even larger portion.
Understanding Fractions
When comparing fractions with the same denominator, such as 6/8, 5/8, and 7/8, it is straightforward to determine which is greater or lesser. Since the denominators are the same, the size of the slice remains consistent across all fractions. Thus, the fraction with the greater numerator represents the greater part of the whole. Therefore, 6/8 is greater than 5/8 because 6 is more than 5. Similarly, 6/8 is less than 7/8 because 6 is less than 7. It's like having pieces of a pie; if you have six slices out of eight, you have more pie than someone with five slices, but less than someone with seven slices.
The fraction 8 6 is greater than 8 5 because 6 is greater than 5. It is less than 8 7 because 6 is less than 7. All fractions have the same denominator, which makes comparison straightforward by looking only at the numerators.
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