Number Theory
Rational Numbers
What is \(0.1212 \ldots\) in fractional form?
by
poo la
If \(\frac{1}{21}\) equals the repeating decimal \(0.0476190476190...\), what is the \(51^{st}\)digit after the decimal point of the repeating decimal?
by
Anuj Shikarkhane
\[ \frac{n}{ 810} = 0.\overline{d25} = 0.d25d25d25d25\ldots \]
For which positive integer \(n\), will \(d\) be a digit?
by
Lakshya Bhatnagar
\[\large \displaystyle {0. \overline{42}-0.\overline{35}= \, ?}\]
\(\)
Note: \(0.\overline{ab}=0.abababab \ldots \)
by
Sandeep Bhardwaj
Is \(0.285714285714\overline {285714}\) rational?
\(\)
Note: The notation \(“\, \overline{285714}" \) indicates that these digits in the decimal are being repeated. For example, \( 0.1\overline{2} = 0.12222 \ldots. \)
by
Mehul Arora