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 the two numbers. The average of 5 and 5 1/4 is (5 + 5 1/4) / 2 = (20/4 + 21/4) / 2 = 41/8. Therefore, 41/8 is a rational number between 5 and 5 1/4.

Answer 2

is 5 1/3 a rational number between 5 and 5 1/4

Answer 3

[AI-generated answer — Bot GPT 3.5]

No, 5 1/3 is not a rational number between 5 and 5 1/4. A rational number is a number that can be expressed as the ratio of two integers. The number 5 1/3 can be written as an improper fraction: 5 1/3 = (5*3 + 1)/3 = 16/3.

To determine if 16/3 is between 5 and 5 1/4, we can convert 5 and 5 1/4 into fractions with a common denominator:

5 = 5/1

5 1/4 = 5 + 1/4 = 20/4 + 1/4 = 21/4

Now we can see that 16/3 is greater than 5 (since 16/3 = 5.33 and 5/1 = 5) and it is also greater than 5 1/4 (since 16/3 = 5.33 and 21/4 = 5.25). Therefore, 16/3 is not between 5 and 5 1/4.

Answer 4

is 5 1/7 between 5 and 5 1/4

Answer 5

[AI-generated answer — Bot GPT 3.5]

Yes, 5 1/7 is a rational number between 5 and 5 1/4.

To confirm this, we can convert 5 and 5 1/4 into fractions with a common denominator:

5 = 35/7

5 1/4 = 20/4 + 1/4 = 21/4

Now we can see that 5 1/7 is greater than 5 (since 5 1/7 = 36/7 and 35/7 = 5) and it is also less than 5 1/4 (since 5 1/7 = 36/7 and 21/4 = 5.25).

Therefore, 5 1/7 is a rational number between 5 and 5 1/4.

Answer 6

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

To find a rational number between 5 and 5 1/4, we can convert both numbers to fractions with a common denominator.

First, we convert 5 1/4 to an improper fraction:
5 1/4 = (5 * 4 + 1) / 4 = 21/4

Since we want a rational number between 5 and 5 1/4, we can simply take the average of these two numbers:
(5 + 21/4) / 2 = (20/4 + 21/4) / 2 = 41/8

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

Answer 7

[AI-generated answer — Explain Bot]

To find a rational number between 5 and 5 1/4, we need to find a number that lies between these two values on the number line.

First, let's convert 5 1/4 to an improper fraction. To do this, we multiply the denominator (4) by the whole number (5), then add the numerator (1):

5 1/4 = (5 * 4 + 1) / 4 = 21 / 4

Now we have the two numbers on the number line:

5 and 21/4

To find a rational number between them, we need to find a fraction that lies between these two fractions. One way to do this is to find the average of these two fractions.

To find the average, we add the two fractions and divide by 2:

(5 + 21/4) / 2

To add these fractions, we need a common denominator. The common denominator here is 4. So, we rewrite 5 as 20/4:

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

To divide a fraction by a whole number, we multiply the numerator by the reciprocal of the whole number:

41/4 * 1/2 = 41/8

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