Convert the following rational number into decimal form and state the kind of its decimal expansion:
$\frac{29}{12}$
$\frac{29}{12}$
(A) To convert $\frac{29}{12}$ into decimal form,we perform long division:
$29 \div 12 = 2.41666...$
Since the digit $6$ repeats indefinitely,the decimal expansion is $2.41\overline{6}$.
Because the remainder never becomes zero and a digit repeats,it is a Non-terminating recurring decimal.
$29 \div 12 = 2.41666...$
Since the digit $6$ repeats indefinitely,the decimal expansion is $2.41\overline{6}$.
Because the remainder never becomes zero and a digit repeats,it is a Non-terminating recurring decimal.
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