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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.

# Converting Repeating Decimals into Fractions

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 $$0.\overline{21}$$?

A) $$\frac{20}{99}$$
B) $$\frac{7}{33}$$
C) $$\frac{21}{10}$$
D) $$\frac{20}{9}$$
E) $$\frac{12}{99}$$

Details and assumptions:

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

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