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nekit [7.7K]
3 years ago
8

Please Help this is the only one i dont know!!

Mathematics
1 answer:
Stella [2.4K]3 years ago
7 0

Answer:

\large\boxed{x=\dfrac{23}{33}}

Step-by-step explanation:

\text{Let}\ x=0.\overline{69}\\\\x=0.696969...\qquad\text{multiply both sides by 100}\\\\100x=69.696969...\qquad\text{subtract}\ x\ \text{from}\ 100x:\\\\100x-x=69.696969...-0.696969...\\\\99x=69\qquad\text{divide both sides by 99}\\\\x=\dfrac{69}{99}\\\\x=\dfrac{23}{33}

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