Instead of the three dots, write a digit to make the fraction reducible. (Find all possible cases.) 12.../23...

Answer:   {0, 1, 2, 4, 5, 6, 8}Step-by-step explanation:120/230 = 12/23121/231 = 11/21122/232 = 61/116123/233 -- not reducible124/234 = 62/117125/235 = 25/47126/236 = 63/118127/237 -- not reducible128/238 = 64/119129/239 -- not reducible___All even digits will make the fraction reducible, as will the digit 5. Then the digits we're not sure of are 1, 3, 7, 9. Appending 1 to the given numbers makes them divisible by 11, so that digit is included in our list. Ending digits 3, 7, 9 result in fractions that are not reducible. (Numbers 127, 233, and 239 are prime numbers.)