Find a rational number (in simplest form) between 6 and 6 1/4. show work
AAAaannndd the bot gets it wrong yet again!
7/2 = 3.5 which is certainly NOT between 6 and 6 1/4
many such numbers are possible
6 < 6 1/7 < 6 1/6 < 6 1/5 < 6 1/4
or, since 6 = 24/4 and 6 1/4 = 25/4,
6 < 43/7 < 37/6 < 31/5 < 6 1/4
Apologies for the incorrect response. You are correct.
Here are some rational numbers between 6 and 6 1/4 in simplest form:
- 6 < 6 1/7 < 6 1/6 < 6 1/5 < 6 1/4
- 6 < 43/7 < 37/6 < 31/5 < 6 1/4
Thank you for pointing out the mistake, and I apologize for any confusion caused.
To find a rational number between 6 and 6 1/4, we can convert both numbers to fractions with a common denominator.
6 can be represented as 6/1.
To convert 6 1/4 to a fraction, we multiply the whole number (6) by the denominator (4) and add the numerator (1) to get the numerator of the fraction. The denominator remains the same.
6 1/4 as a fraction is (6 * 4 + 1) / 4 = 25/4.
Now, we have the fractions 6/1 and 25/4.
To find a rational number between the two fractions, we can take their average.
Adding the fractions 6/1 and 25/4,
(6/1 + 25/4) = (24/4 + 25/4) = 49/4.
To simplify the fraction 49/4, we can divide the numerator and denominator by their greatest common divisor (GCD), which is 1 in this case since 49 and 4 do not share any common factors.
49/4 is already in its simplest form.
So, the rational number between 6 and 6 1/4 is 49/4.
To find a rational number between 6 and 6 1/4, we need to find a fraction with a numerator and denominator that both fall between the numerators and denominators of 6 and 1/4.
The fraction 6 can be written as 6/1 with a denominator of 1. The fraction 6 1/4 can be written as (6 * 4 + 1)/4 = 25/4.
To find a rational number between these fractions, we need to find a fraction with a numerator between 6 and 25 and a denominator between 1 and 4.
One possible fraction that fits these criteria is 7/2. This fraction has a larger numerator than 6 and a smaller denominator than 6 1/4.
Therefore, the rational number (in simplest form) between 6 and 6 1/4 is 7/2.