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

Answer 1

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

First, let's convert 6 and 6 1/4 to fractions with the same denominator:

6 = 6/1
6 1/4 = 25/4

We can see that 6 is equal to 24/4, so our two fractions become:

24/4 and 25/4

Now, to find a rational number between these two fractions, we need to find a fraction with a numerator greater than 24 but less than 25. Let's choose the fraction 24.5/4:

24.5/4 simplified to its simplest form is 49/8.

Therefore, one rational number between 6 and 6 1/4 is 49/8.