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When transforming the decimal number 𝟏, 𝟏𝟑̅ to a fraction, what do we get?

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Answer to a math question When transforming the decimal number 𝟏, 𝟏𝟑̅ to a fraction, what do we get?

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Madelyn
4.7
86 Answers
1. Sea x = 1.13\overline{3} .

2. Multiplica ambos lados de la ecuación por 10 para obtener 10x = 11.3\overline{3} .

3. Luego, multiplica ambos lados por 10 otra vez para obtener 100x = 113.3\overline{3} .

4. Restar 10x de 100x da 90x = 102 .

5. Por lo tanto, x = \frac{{102}}{{90}} , que simplifica a x = 1 \frac{{1}}{{9}} .

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