Express 0.125(bar on 125) in the form p/q
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Answered by
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given :- 0.125125125125...
let x be = 0.125125125... -------(1)
multiplying both sides by 1000
1000 × x = 1000 × 0.125125125...
1000x = 125.125125125... -------(2)
subtract equation (1) from equation (2)
1000x - x = 125.125125125... - 0.125125125...
999x = 125
x = 125/999
so multiply both p and q by 10.
hence, 125/999 is the form of p/q of 0.125125125125...
HOPE THIS HELPS..!!
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