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Express 3.51717171717 ...... in rational form |
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Answer» Answer: 3482 = 1741 990 45 Step-by-step explanation: let X = 3.517171717.......... -------- (1) let x = 3.517171717.......... -------- (1)So, 10x = 35.1717171717....... ---------(2) let x = 3.517171717.......... -------- (1)So, 10x = 35.1717171717....... ---------(2)1000x = 3517.17171717..........----------(3) let x = 3.517171717.......... -------- (1)So, 10x = 35.1717171717....... ---------(2)1000x = 3517.17171717..........----------(3)Now SUBTRACT [ (3)-(2) ] let x = 3.517171717.......... -------- (1)So, 10x = 35.1717171717....... ---------(2)1000x = 3517.17171717..........----------(3)Now Subtract [ (3)-(2) ] 1000x = 3517.17171717........ let x = 3.517171717.......... -------- (1)So, 10x = 35.1717171717....... ---------(2)1000x = 3517.17171717..........----------(3)Now Subtract [ (3)-(2) ] 1000x = 3517.17171717........- 10x = 35.17171717...... let x = 3.517171717.......... -------- (1)So, 10x = 35.1717171717....... ---------(2)1000x = 3517.17171717..........----------(3)Now Subtract [ (3)-(2) ] 1000x = 3517.17171717........- 10x = 35.17171717...... 990x = 3482.0 let x = 3.517171717.......... -------- (1)So, 10x = 35.1717171717....... ---------(2)1000x = 3517.17171717..........----------(3)Now Subtract [ (3)-(2) ] 1000x = 3517.17171717........- 10x = 35.17171717...... 990x = 3482.0 let x = 3.517171717.......... -------- (1)So, 10x = 35.1717171717....... ---------(2)1000x = 3517.17171717..........----------(3)Now Subtract [ (3)-(2) ] 1000x = 3517.17171717........- 10x = 35.17171717...... 990x = 3482.0 THEREFORE, x = 3482 = 1741 let x = 3.517171717.......... -------- (1)So, 10x = 35.1717171717....... ---------(2)1000x = 3517.17171717..........----------(3)Now Subtract [ (3)-(2) ] 1000x = 3517.17171717........- 10x = 35.17171717...... 990x = 3482.0 Therefore, x = 3482 = 1741 990 45 ___________________________________ |
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