Rational Numbers: Level 2 Challenges Practice Problems Online

What is $0.1212 \ldots$ in fractional form?

4/33 5/99 4/96 1/25 3/25 1/33

If $\frac{1}{21}$ equals the repeating decimal $0.0476190476190...$ , what is the $51^{st}$ digit after the decimal point of the repeating decimal?

$\frac{n}{ 810} = 0.\overline{d25} = 0.d25d25d25d25\ldots$

For which positive integer $n$ , will $d$ be a digit?

$\large \displaystyle {0. \overline{42}-0.\overline{35}= \, ?}$

Note: $0.\overline{ab}=0.abababab \ldots$

0.7

0.\bar{7}

\dfrac{7}{9}

\dfrac{4}{13}

\dfrac{7}{99}

None of the above choices

Is $0.285714285714\overline {285714}$ rational?

Note: The notation $“\, \overline{285714}"$ indicates that these digits in the decimal are being repeated. For example, $0.1\overline{2} = 0.12222 \ldots.$

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Rational Numbers: Level 2 Challenges