Which of the following is a non-terminating repeating decimal?
$\frac{35}{14}$
$\frac{14}{35}$
$\frac{1}{7}$
$\frac{7}{8}$

Question

Which of the following is a non-terminating repeating decimal-displaystyle frac-35-14-displaystyle frac-14-35-displaystyle frac-1-7-displaystyle frac-7-8-

Toppr Admin · Accepted Answer

-i- 3514-52 -terminating-ii-xA0-1435-25 -terminating-iii-xA0-17 -Non-terminating-iv-xA0-78 -terminating-So-xA0-17-xA0-is a non terminating repeating decimal-

Which of the following is a non-terminating repeating decimal?351414351778

(i) 3514=52 (terminating)(ii) 1435=25 (terminating)(iii) 17 (Non-terminating)(iv) 78 (terminating)So, 17 is a non terminating repeating decimal.

Which of the following is a non-terminating repeating decimal?
$\frac{35}{14}$
$\frac{14}{35}$
$\frac{1}{7}$
$\frac{7}{8}$

(i) $\frac{35}{14} = \frac{5}{2}$ (terminating)
(ii) $\frac{14}{35} = \frac{2}{5}$ (terminating)
(iii) $\frac{1}{7}$ (Non-terminating)
(iv) $\frac{7}{8}$ (terminating)
So, $\frac{1}{7}$ is a non terminating repeating decimal.