Express 0.54bar recurring decimal as fraction in their simplest form
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55
LET X = 0.54545454.......INFINITE
SO, 100X = 54.54545454....INFINITE
= 100X = 99X + X
= 54.54545454..INFINITE = 99X + 0.54545454....INFINITE [PUTTING VALUE OF X AND 100X]
= 54.545454...INFINITE-0.545454...INFINITE = 99X
= 54 = 99X
= 54/99 = X
= 6/11 = X
OR, X = 6/11 ( ANSWER)
SO, 100X = 54.54545454....INFINITE
= 100X = 99X + X
= 54.54545454..INFINITE = 99X + 0.54545454....INFINITE [PUTTING VALUE OF X AND 100X]
= 54.545454...INFINITE-0.545454...INFINITE = 99X
= 54 = 99X
= 54/99 = X
= 6/11 = X
OR, X = 6/11 ( ANSWER)
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8
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6/11
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