Question

without actually performing the long division state whether the following rational numbers will have a terminal or non terminal
1)77/210
2)6/15
3)64/455
4)29/343
5)17/8

Answer 1

a)77/210 in simplest form = 11/30.................. non-terminating as the denominator is not in the form of $2^{m}$ x $5^{n}$.

b)6/15=2/5...................terminating as the denominator is in the form of $2^{m}$ x $5^{n}$.

c)64/455................ non-terminating as the denominator is not in the form of $2^{m}$ x $5^{n}$.

d)29/343.................... non-terminating as the denominator is not in the form of $2^{m}$ x $5^{n}$.

e)17/8................terminating as the denominator is in the form of $2^{m}$ x $5^{n}$.

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