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.
Evaluate \(\displaystyle{\frac{ 0 . \overline{26} }{ 9 . \overline{7} }}\) by changing the decimals into fractions.
Which of the following is equal to \(0.\overline{21}\)?
Details and assumptions:
\(9.\overline{3} = 9.33333...\)