Maths · Sets and their representation

If the denominator of a fraction has only factors of 2 and factors of 5 , the de

If the denominator of a fraction has only factors of 2 and factors of 5 , the decimal expression

  • A. has equal numerator and denominator
  • B. becomes a whole number
  • C. does not terminate
  • D. terminates

Step-by-step solution

A fraction in simplest form terminates as a decimal if and only if its denominator has no prime factors other than 2 and 5. Since the denominator only has factors 2 and 5, the decimal expansion terminates.
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