Find a rational number (in simplest form) between 6 and 6 1/4

Question

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Answer 1

To find a rational number between 6 and 6 1/4, we need to find a fraction that lies between the two given numbers.

The fraction 6 is already in simplest form.

To express 6 1/4 as a fraction, we need to convert the mixed number to an improper fraction.

6 1/4 can be written as (6*4 + 1)/4 = 25/4.

Now, we need to find a fraction between 6 and 25/4.

Since the numbers have a common denominator of 4, we can simply consider the numerators.

The fraction between 6 and 25/4 is (6 + 1)/(4) = 7/4.

Therefore, the rational number (in simplest form) between 6 and 6 1/4 is 7/4.