Find a rational number (in simplest form) between 6 and 6 1/4 show work
To find a rational number between 6 and 6 1/4, we can first convert both numbers to fractions with a common denominator.
6 can be written as 6/1.
Next, let's convert 6 1/4 to a fraction. Since there are 4 parts in a whole, we can multiply the whole number (6) by 4 and add the numerator (1) to get the numerator of the fraction part.
6 * 4 = 24
24 + 1 = 25
Therefore, 6 1/4 can be written as 25/4.
Now, we have 6/1 and 25/4. To find a number between them, we can look for a fraction with a numerator between 6 and 25.
Let's try the midpoint between 6 and 25:
(6 + 25)/2 = 31/2
Therefore, the rational number between 6 and 6 1/4 in simplest form is 31/2.