Convert the following rational number into decimal form and state the kind of its decimal expansion:
$\frac{4}{13}$
$\frac{4}{13}$
(N/A) To convert $\frac{4}{13}$ into decimal form,we perform long division of $4$ by $13$.
$4 \div 13 = 0.307692307692...$
Since the sequence of digits $307692$ repeats indefinitely,the decimal expansion is $0.\overline{307692}$.
Therefore,the decimal expansion is a non-terminating recurring decimal.
$4 \div 13 = 0.307692307692...$
Since the sequence of digits $307692$ repeats indefinitely,the decimal expansion is $0.\overline{307692}$.
Therefore,the decimal expansion is a non-terminating recurring decimal.
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