Which of the following numbers can be represented as non-terminating, repeating decimals?

Question:

Which of the following numbers can be represented as non-terminating, repeating decimals?

(a) $\frac{39}{24}$

(b) $\frac{3}{16}$

(C) $\frac{3}{11}$

(d) $\frac{137}{25}$

Solution:

Given that

$\frac{39}{24}=1.625$

$\frac{3}{16}=0.1875$

$\frac{3}{11}=0.272727272$

$\frac{1.37}{25}=0.0548$

Here $\frac{3}{11}$ is repeating but non-terminating.

Hence the correct option is.

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