Question

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

Ok but what's the improper fraction?

Answer 2

To find a rational number between 7–√ and 8–√, we need to find two rational numbers that are between these two values.

To do this, we will convert both 7–√ and 8–√ to decimal form and find two decimal numbers that lie between the two values.

We know that √ is approximately equal to 1.414.

Therefore, 7–√ is approximately equal to 7 - 1.414 = 5.586.

And 8–√ is approximately equal to 8 - 1.414 = 6.586.

Now we can see that the rational number we are looking for must be between 5.586 and 6.586.

Let's choose 6 as the whole number part of our rational number and 7 as its numerator.

So, the rational number we are looking for is 7/7 = 1.

Therefore, the rational number with a denominator of 7 that is between 7–√ and 8–√ is 1.

As an improper fraction, this can be written as 1/1.

Answer 3

Apologies for the confusion.

To express the rational number 1 as an improper fraction, we can rewrite it as 1/1, where the numerator is greater than the denominator.

Hence, the improper fraction for the rational number with a denominator of 7 that is between 7–√ and 8–√ is 1/1.