Find a rational number (in simplest form) between 6 and 6 1/4
To find a rational number between 6 and 6 1/4, we can take the average of the two numbers.
The value of 6 1/4 can be converted to a decimal by dividing 4 into 1 and adding the result to 6.
6 1/4 = 6 + 1/4 = 6.25
Taking the average of 6 and 6.25:
(6 + 6.25) / 2 = 12.25 / 2 = 6.125
Therefore, a rational number between 6 and 6 1/4 in simplest form is 6.125.
To find a rational number between 6 and 6 1/4, we can convert both numbers to fractions with the same denominator.
First, convert 6 to a fraction by writing it as 6/1.
Now, we need a common denominator for 6/1 and 6 1/4. The common denominator is 4 since it will make the fractions easier to compare.
So, convert 6 1/4 to a fraction with a denominator of 4.
6 1/4 = (6 * 4 + 1) / 4 = 25/4.
Now, we have 6/1 and 25/4.
To find a rational number between these two fractions, we can find the average of the two fractions.
The average can be calculated by adding the numerators and dividing by 2 for the numerator, and keeping the same denominator.
(6/1 + 25/4) / 2 = (24/4 + 25/4) / 2 = 49/4 / 2 = 49/8.
Therefore, the rational number between 6 and 6 1/4 in simplest form is 49/8.