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Is 95\frac{9}{5} a rational number?\newlineChoices:\newline(A) yes\newline(B) no

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Identify rational and irrational numbersright chevron icon

Full solution

Q. Is 95\frac{9}{5} a rational number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Understand the form: Step 11: Understand the form of 95\frac{9}{5}. 95\frac{9}{5} is a fraction where both numerator (99) and denominator (55) are integers.
  2. Check decimal expression: Step 22: Check if the fraction can be expressed as a terminating or repeating decimal.\newlineSince 55 is the only prime factor of the denominator, 95\frac{9}{5} can be expressed as a decimal which is 1.81.8, a terminating decimal.
  3. Define rational numbers: Step 33: Define rational numbers.\newlineA rational number can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero.
  4. Conclude rationality: Step 44: Conclude if 95\frac{9}{5} is rational based on its decimal expression.\newlineSince 95\frac{9}{5} is a terminating decimal and fits the definition of a rational number, it is rational.

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