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Is 34\frac{3}{4} an irrational number?\newlineChoices:\newline(A) yes\newline(B) no

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Identify rational and irrational numbersright chevron icon

Full solution

Q. Is 34\frac{3}{4} an irrational number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Define fraction 34\frac{3}{4}: Step 11: Define the number 34\frac{3}{4}.34\frac{3}{4} is a fraction where the numerator is 33 and the denominator is 44.
  2. Determine decimal type: Step 22: Determine if 34\frac{3}{4} is a terminating or repeating decimal.\newlineWhen we divide 33 by 44, we get 0.750.75, which is a terminating decimal.
  3. Analyze terminating decimals: Step 33: Analyze the nature of terminating decimals. A terminating decimal can be expressed as a fraction with a denominator that is a power of 1010. Since 0.750.75 can be written as 75100\frac{75}{100}, which simplifies to 34\frac{3}{4}, it is a rational number.

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