Question

Express the recurring decimal 7.529529529... in $\sf\large\frac{p}{q}$ form..​

Answer 1

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Let x = 7.529529529..... = 7.529

1000x = 7529.529529.... = 7529.529

1000x - x = 7529.529 - 7.529

999x = 7522.0

999x = 7522

x = 7522/999

The p/q form of the problem is 7522/999

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