Number Theory
# Rational Numbers

Which of the following is equal to \(\frac{11}{9}\)?

A) \(1.1\)

B) \(1.\overline{1}\)

C) \(1.2\)

D) \(1.\overline{2}\)

E) \(1.9\)

**Details and assumptions:**

\(9.\overline{3} = 9.33333...\)

\[\begin{align*} 0.111111\ldots &= \frac{1}{9} \\ \\ 0.121212\ldots &= \ ? \end{align*}\]

Express \( 1 . 2 \overline{94} \) as a fraction.

Which of the following is equal to \(0.\overline{21}\)?

A) \(\frac{20}{99}\)

B) \(\frac{7}{33}\)

C) \(\frac{21}{10}\)

D) \(\frac{20}{9}\)

E) \(\frac{12}{99}\)

**Details and assumptions:**

\(9.\overline{3} = 9.33333...\)

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