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

2 Answers

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Answer:

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

User Tobias Domhan
by
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5 votes

Final Answer:

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.

User Joshua Shearer
by
8.8k points

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