How do you convert 6 3/8 to each rational number into the form a/b ?

You would multiply denominator and the whole number then add that product to the numerator. You would then get an improper fraction and divide the numerator from the denominator to get a rational number.

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To convert a mixed number like 6 3/8 into a rational number in the form a/b, you need to follow these steps:

Step 1: Rewrite the mixed number as an improper fraction.
To convert the whole number part to a fraction, multiply it by the denominator of the fraction and add the numerator.
In this case, 6 multiplied by 8 equals 48. Adding the numerator 3 gives us a total of 51.
So, 6 3/8 as an improper fraction is 51/8.

Step 2: Simplify the fraction, if possible.
To check if the fraction can be simplified, find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 51 and 8 are 1. Since they have no common factors other than 1, the fraction cannot be simplified further.

Step 3: Write the fraction in the form a/b.
The fraction 51/8 is already in the form a/b, since there are no common factors between the numerator and denominator.

Therefore, 6 3/8 can be converted to the rational number 51/8.