Question

Express 11.11 bar in the from p/q where p and q and integers and q

Answer 1

Answer:

1/9

Step-by-step explanation:

let x=11.11 11 11.......equation 1

periodicity =2.so,multiplying equation 1 with 100 on both sides.

100(x) = 11.11 11 11................. × 100

100x=11 11.11 11.............. equation 2

equation 2 - 1

100x= 11 11.11 11..............

x= 11.11 11...........

the difference will be 99x=11

x= 11 /99

x= 1/9.