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Express 0.367575.... in p/q form |
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Answer» p/q = 3639/9900 Step-by-step EXPLANATION: Let a = 0.367575.... — (1) MULTIPLYING a by 100. We get, a X 100 = 100x 0.367575... X 100 = 36.7575.... Therefore, 100A = 36.7575.... — (2) Subtracting Equation (1) from Equation (2) Equation (2) - Equation (1) = 100a - a = 99a Similarly, 36.7575.... - 0.367575.... = 36.39 Therefore, 99a = 36.39 => 99a = 3639/100 => a = 3639/9900 p/q = 3639/9900 HOPE IT HELPS YOU. THANKS !^ _ ^ |
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