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Express 13. 457777........... in p/q form |
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Answer» here GIVEN that :- 13.4577777... let x be = 13.4577777... ---(i) multiplying both sides by 100 x × 100 = 13.4577777... × 100 100x = 1345.777777... ---(ii) subtracting equation (i) from equation (ii) 100x - x = 1345.777777... - 13.45777777... 99X = 1332.32 x = 1332.32/99 now, in the FORM of p/Q both p and q must be integers but here p is not a integer. so let's multiply both p and q by 100 x = (1332.32 × 100)/(99 × 100) x = 133232/900 = 3028/225 |
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