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added 173 characters in body
rlj
  • 170
  • 5
Flatten[StringCases[#, "10." ~~ DigitCharacter .. ~~ "/" ~~ (WordCharacter | "." ) ..], 1] & /@ stringdata 

or if you want the first only:

First@Flatten[ StringCases[#, "10." ~~ DigitCharacter .. ~~ "/" ~~ (WordCharacter | "." ) ..], 1] & /@ stringdata 
rlj
  • 170
  • 5