Question

plz solve all these parts of the question

Answer 1

Q.1) 0.262626...
=>Let, x=0.262626... .....(I)
Then, 10x=2.6262...
Then, 100x=26.2626... ......(ii)

Subtracting eq. (I) from (ii):-
100x-x=26.2626...-0.2626....
99x=26
x=26/99

Q.2) 1.5777....
=>Let, x=1.5777....
Then, 10x=15.777.... ......(I)
Then, 100x=157.77.... ......(ii)

Subtracting eq. (I) from (ii):-
100x-10x=15.777....-157.77....
90x=142
x=142/90
x=71/45

Q.3)0.229292929....
=>Let, x=0.229292929....
Then, 10x= 2.29292929.... ....(I)
Then, 100x= 22.292929.... ....(ii)

Subtracting eq. (I) from (ii):-
100x-10x=22.292929...-2.292929...
90x=20
x=20/90
x=2/9

Q.4)2.36363636....
=>Let, x=2.36363636.... ....(I)
Then, 10x=23.6363636....
Then, 100x=236.363636.... ....(ii)

Subtracting eq.(I) from (ii):-
100x-x=236.363636....-2.36363636....
99x=234
x=234/99
x=78/33
x=26/11

Hope these help you!!!!

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