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

\frac{35}{14}

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\frac{14}{35}

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\frac{1}{7}

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\frac{7}{8}

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Solution

The correct option is C $\frac{1}{7}$
(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.

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Similar questions

Q. Which of the following fractions among

\frac{8}{3}

\frac{22}{7}

\frac{3}{8}

\frac{7}{14}

will give non-terminating decimal on conversion?

Q. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

(i)

\frac{23}{8}

(ii)

\frac{125}{441}

(iii)

\frac{35}{50}

(iv)

\frac{77}{210}

(v)

\frac{129}{2^{2} \times 5^{7} \times 7^{17}}

Question 1 (ix)
Without actually performing the long division, state whether $\frac{35}{50}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Q. Without actually performing the long deviation, state whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

\frac{35}{50}

Question 1 (ix)
Without actually performing the long division, state whether $\frac{35}{50}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

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

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

The correct option is C $\frac{1}{7}$
(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.