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## Rational Numbers

Can all numbers be written as fractions? Don't be irrational - understand some of the fundamental classifications of numbers.

# Level 2

What is $$0.1212 \ldots$$ in fractional form?

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

Is $$0.285714285714\overline {285714...}$$ rational?

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