Express 0.5232323… in the form of p/q. Where p and q are intergers and q≠0
Answers
Answered by
4
let x = 0.5232323....
10x = 5.232323....
100x = 52.323232..
1000x = 523.232323.....
1000x-10x = 523.232323..-5.232323...
990x = 518
x = 518/990
x = 259/495
Answered by
0
Answer:
Step-by-step explanation:
let n = 0.5232323….............
10 n = 5 + 0.232323............
10 n - 5 = 0.232323............
100 [10n - 5 ] = 23.232323..................
100[10 n - 5 ] = 23 + 0.232323.............
100[10n -5 ] = 23 + 10n -5
1000n - 500 = 23 +10n - 5
100n - 10n =500 +23 -5
990 n =518
n = 518/990 =259/495
shot cut method
let n = 0.5232323….............
100 n = 52.3232323..........
100n -n = 52.323232............. - 0.52323232...........=51.8
99n = 51.8
990n =518
495n = 259
n = 259/495
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