Which of the following is a rational number between 5 and 5 1/14?

1 answer

To find a rational number between two given numbers, we can take their average.

The given numbers are 5 and 5 1/14.
To convert 5 1/14 to a fraction, we need to find a common denominator for 1 and 14, which is 14.
5 1/14 can be written as (5 * 14 + 1)/14 = 71/14.

To find the average, we add the two numbers and divide by 2:
(5 + 71/14)/2 = (70/14 + 71/14)/2 = 141/14 / 2 = 141/28.

Therefore, the rational number between 5 and 5 1/14 is 141/28.