Question

Show that 1.27777777777 can be expressed in the form of p/q where p and q are integers

Answer 1

Q. Show that 1.27 (bar on 7) can be expressed in the form p/ q form where p and q are integers and q ≠ 0

Solution :

Let

10x = 12.777777.............. (i)

100x = 127.77777............. (ii)

(ii) - (i) = 127.777..... - 12.777....

100x - 10x = 115

90x = 115

x = 115/90

Answer 2

let x=1.277777.....(i)
multiply by 10,both sides
10x=12.77777....(ii)
(ii)-(i)
9x=11.00
x=11/9