What is a rational number with a denominator of 7 that is between 7–√ and 8–√ . Write your answer as an improper fraction.(1 point)

Answer 1

To find a rational number that is between 7–√ and 8–√ , we need to evaluate the decimal values of 7–√ and 8–√ .

7–√ ≈ 4.86 (rounding to two decimal places)
8–√ ≈ 3.86 (rounding to two decimal places)

Now, we need to find a rational number with a denominator of 7 that falls between 4.86 and 3.86.

The closest integer to 4.86 is 5, and the closest integer to 3.86 is 4.

So, the rational number between 7–√ and 8–√ can be written as 5/7.

Therefore, the answer is 5/7.