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:**

$9.\overline{3} = 9.33333...$

$\begin{aligned} 0.111111\ldots &= \frac{1}{9} \\ \\ 0.121212\ldots &= \ ? \end{aligned}$

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

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

**Details and assumptions:**

$9.\overline{3} = 9.33333...$