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0. (979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865)

0.(979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865)

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Explicação passo a passo

1. Monte a divisao longa

$\frac{95}{97}$

$\frac{95}{97} = 95 \div 97$ .

$\frac{95}{97}$

$\frac{95}{97} = 95 \div 97$ .

$\frac{95}{97}$

$\frac{95}{97} = 95 \div 97$ .

$95 \div 97$

$\frac{95}{97} = 95 \div 97$ .

$95 \div 97$

$\frac{95}{97} = 95 \div 97$ .

2. Identifique o ciclo de repeticao

$\frac{95}{97}$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$\frac{95}{97}$

$\frac{950}{97} = d i g i t 9, r e m a \in d e r 77$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$77$

$\frac{770}{97} = d i g i t 7, r e m a \in d e r 91$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$91$

$\frac{910}{97} = d i g i t 9, r e m a \in d e r 37$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$37$

$\frac{370}{97} = d i g i t 3, r e m a \in d e r 79$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$79$

$\frac{790}{97} = d i g i t 8, r e m a \in d e r 14$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$14$

$\frac{140}{97} = d i g i t 1, r e m a \in d e r 43$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$43$

$\frac{430}{97} = d i g i t 4, r e m a \in d e r 42$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$42$

$\frac{420}{97} = d i g i t 4, r e m a \in d e r 32$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$32$

$\frac{320}{97} = d i g i t 3, r e m a \in d e r 29$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$29$

$\frac{290}{97} = d i g i t 2, r e m a \in d e r 96$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$96$

$\frac{960}{97} = d i g i t 9, r e m a \in d e r 87$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$87$

$\frac{870}{97} = d i g i t 8, r e m a \in d e r 94$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$94$

$\frac{940}{97} = d i g i t 9, r e m a \in d e r 67$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$67$

$\frac{670}{97} = d i g i t 6, r e m a \in d e r 88$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$88$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$14$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

$0. (979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865)$

$95 \to 77 \to 91 \to 37 \to 79 \to 14 \to 43 \to 42$ , $979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865$ .

3. Escreva o decimal periodico

$95 / 97 = 0. (979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865)$

$0. (979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865)$

$(979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865) = 0. (979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865)$ .

$0. (979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865)$

$(979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865) = 0. (979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865)$ .

$0. (979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865)$

$(979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865) = 0. (979381443298969072164948453608247422680412371134020618556701030927835051546391752577319587628865)$ .

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