MCQ
The decimal representation of $\frac{71}{150}$ is:
  • A
    A terminating decimal.
  • A non$-$terminating, repeating decimal.
  • C
    A non$-$terminating and non-repeating decimal.
  • D
    None of these.

Answer

Correct option: B.
A non$-$terminating, repeating decimal.

A number is a terminating decimal, if the denominator is of the form $2^m \times 5^n$,
where m and n are non$-$negative integers.
The prime factorisation of the denominator is $2 \times 3 \times 50^2$
So, the denominator will be non$-$ terminating.
Since $\frac{71}{150}$ is a rational number, it will surely be repeating.

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