Represent the following in fractional form (pq,wherep,q∈1andq≠0)
i) 1.1¯4
ii) 3.3¯79
(1)
Let x=1.1¯4
x=1.14444....... (1)
Subtract (2) from (3),
100x−10x=103.0000
90x=103
x=10390=pq
(2)
Let x=3.3¯79
x=3.3797979....... (1)
10x=33.7979....... (2)
1000x=3379.7979....... (3)
Subtract (2) from (3),
1000x−10x=3346.0000
990x=3346
x=3346990
x=1673495=pq