Question

Which fraction listed is between 4/7 and 6/7

Answer 1

5/7

Step-by-step explanation:

4/7 < x < 6/7

Let x be the middle value of 4/7 and 6/7.

(4/7 + 6/7)/2

(10/7)/2

10/14 = 5/7

4/7 < 5/7 < 6/7

Answer 2

The fraction that is between
`\( (4)/(7) \) and \( (6)/(7) \) is \( (5)/(7) \).`

Step-by-step explanation:

To determine which fraction lies between
`\( (4)/(7) \) and \( (6)/(7) \),` we can consider the numbers that fall within this range. The numerators of these fractions are consecutive integers, making it easy to identify the fraction in the middle. Since
`\( (4)/(7) \) and \( (6)/(7) \)` have numerators of 4 and 6, respectively, the fraction in between them is
`\( (5)/(7) \).`

Understanding the concept of fractions on a number line is helpful in visualizing their relationships. In this case, if you imagine a number line where
`\( (4)/(7) \)` and
`\( (6)/(7) \)` are plotted,
`\( (5)/(7) \)` would be the midpoint between them. This is because the numerators represent the position on the number line, and
`\( (5)/(7) \)` is exactly halfway between 4 and 6.

In conclusion,
`\( (5)/(7) \)` is the fraction that falls between
`\( (4)/(7) \) and \( (6)/(7) \).` This exercise not only reinforces the understanding of fraction comparisons but also highlights the practical application of these concepts when determining values within a given range.