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Is 43\frac{4}{3} 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 43\frac{4}{3} a rational number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Understand Fraction Form: Step 11: Understand the form of 43\frac{4}{3}. 43\frac{4}{3} is expressed as a fraction where both numerator (44) and denominator (33) are integers.
  2. Check for Simplest Form: Step 22: Check if the fraction is in simplest form.\newlineSince 44 and 33 have no common factors other than 11, the fraction 43\frac{4}{3} is already in its simplest form.
  3. Determine Decimal Type: Step 33: Determine if 43\frac{4}{3} is a terminating or repeating decimal. Divide 44 by 33 to get 1.333…1.333\ldots, which is a repeating decimal.
  4. Recall Rational Number Definition: Step 44: Recall the definition of a rational number.\newlineA rational number can be expressed as a fraction with integers in the numerator and denominator. It includes both terminating and repeating decimals.

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