Write the following in decimal form and state what kind of decimal expansion each has:
$\frac{5}{13}$
$\frac{5}{13}$
(N/A) To find the decimal expansion of $\frac{5}{13}$,we perform long division of $5$ by $13$:
$5 \div 13 = 0.384615384615...$
Since the remainder repeats after a certain number of steps,the quotient also repeats.
Thus,$\frac{5}{13} = 0.\overline{384615}$.
The decimal form of $\frac{5}{13}$ is a non-terminating recurring decimal.
$5 \div 13 = 0.384615384615...$
Since the remainder repeats after a certain number of steps,the quotient also repeats.
Thus,$\frac{5}{13} = 0.\overline{384615}$.
The decimal form of $\frac{5}{13}$ is a non-terminating recurring decimal.
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