Given, 2.6¯¯¯¯¯¯34+0.1¯¯¯7
Converting into fraction 2.6¯¯¯¯¯¯34
Let x=2.6343434...
=>10x=26.343434....--------(i)
=>1000x=2634.34343...----(ii)
(ii)-(i)
=>990x=2608
=>x=2608990
Now Converting into fraction 0.1¯¯¯7
Let x=0.17777.....
=>10x=1.77777....------(i)
=>100x=17.7777...-----(ii)
(ii)-(i)
=>90x=16
=>x=1690