simplify : 0.65bar + 0.67 bar

Let x = 0.65 x = 0.6565 . . . . . . . . . . (1) \Rightarrow 100 x = 65.6565 . . . . . . . . . . . . (2) Subtracting (1) from (2), we get 100 x - x = 65 \Rightarrow 99 x = 65 \Rightarrow x = \frac{65}{99} Let y = 0.67 y = 0.6767 . . . . . . . . . . (1) \Rightarrow 100 y = 67.6767 . . . . . . . . . . . (2) Subtracting (1) from (2), we get 100 y - y = 67 \Rightarrow 99 y = 67 \Rightarrow y = \frac{67}{99} Now, x + y = \frac{65}{99} + \frac{67}{99} = \frac{132}{99} = \frac{44}{33} = \frac{4}{3}

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