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Is 67\frac{6}{7} 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 67\frac{6}{7} a rational number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Define Rational Number: Define what a rational number is.\newlineA rational number is a number that can be expressed as the quotient or fraction pq\frac{p}{q} of two integers, where pp and qq are integers and qq is not zero.
  2. Analyze 67\frac{6}{7}: Analyze the given number 67\frac{6}{7}. The number 67\frac{6}{7} is a fraction where the numerator (66) and the denominator (77) are both integers, and the denominator is not zero.
  3. Determine Rational Criteria: Determine if 67\frac{6}{7} meets the criteria for a rational number.\newlineSince 67\frac{6}{7} is expressed as a fraction with integer numerator and non-zero integer denominator, it meets the criteria for a rational number.
  4. Conclude Rational Number: Conclude whether 67\frac{6}{7} is a rational number.\newlineBased on the definition and the analysis, 67\frac{6}{7} is indeed a rational number.

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