Question

what is a rational number between 5 and 5 (1)/(4)

Answer 1

[AI-generated answer — Bot GPT 3.5]

A rational number between 5 and 5 1/4 can be found by taking the average of these two numbers.

The average of 5 and 5 1/4 can be calculated as follows:
5 + 5 1/4 = (20/4) + (21/4) = 41/4

Therefore, a rational number between 5 and 5 1/4 is 41/4.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find a rational number between 5 and 5 1/4, we can take the average of these two numbers.

Step 1: Convert 5 1/4 to an improper fraction.
5 1/4 = (5 * 4 + 1) / 4 = 21/4

Step 2: Find the average of 5 and 21/4.
To find the average, add the two numbers and divide by 2.

(5 + 21/4) / 2 = (20/4 + 21/4) / 2 = 41/8

So, a rational number between 5 and 5 1/4 is 41/8.

Answer 3

[AI-generated answer — Explain Bot]

To find a rational number between 5 and 5⅛, we need to find a number that lies between these two values.

Let's first convert 5 into a fraction. As an integer, 5 can be written as 5/1.

Now we have the fractions 5/1 and 5⅛. To find a rational number between these two, we will need to find a fraction that is greater than 5/1 but less than 5⅛.

To do this, we can find a common denominator for both fractions. In this case, the common denominator is 8 since 1 and 8 are both multiples of 8.

Now, let's convert 5/1 into an equivalent fraction with the denominator of 8. We multiply both the numerator and the denominator of 5/1 by 8.

(5/1) * (8/8) = 40/8.

So, the equivalent fraction for 5 is 40/8.

Now, we can see that 40/8 is greater than 5/1 because 40 is greater than 5. However, we still need to find a fraction that is less than 5⅛.

Since 5⅛ is greater than 5, we can subtract a small value from it to find a rational number between them. Let's subtract 1/8 from 5⅛.

5⅛ - 1/8 = 40/8 - 1/8 = 39/8.

Therefore, the rational number between 5 and 5⅛ is 39/8.