Question

a and b are two single digit natural number such that 0.abab..*n is an integer value for all values of a and b . what is the least three digit number that n can assume

Answer 1

Answer:

The fraction a/b is equals the repeating decimal 0.ababab. If a and b are single-digit positive integers, what is the value of a + b.

The repeating decimal 0.232323… is equal to 2399, and 0.373737… equals 3799, etc. In general, the repeating decimal 0.abab… is equal to 10a+b99. If this is also equal to ab, we get the equation,

ab=10a+b99

Solving this for a,

a=b299−10b,

which has single-digit positive integer solution a=b=9. Indeed,

9/9=0.9999…

so the answer to the question is a+b=18.

_______________________

please follow me back and add me to your brain list

Answer 2

Answer:

thanks mama and papa you are interested in one NB