Question:

Which of the following fractions given in the options is the smallest?

Updated On: Mar 4, 2025
  • \(\frac{19}{23}\)
  • \(\frac{29}{47}\)
  • \(\frac{4}{7}\)
  • \(\frac{17}{39}\)
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The Correct Option is D

Solution and Explanation

Comparing Fractions by Converting to Decimals

Step 1: Convert Each Fraction to Decimal Form 

  • 19/23 ≈ 0.826
  • 29/47 ≈ 0.617
  • 4/7 ≈ 0.571
  • 17/39 ≈ 0.436

Step 2: Identify the Smallest Fraction

Among these values, 17/39 (≈ 0.436) is the smallest fraction.

Final Answer:

Thus, the correct answer is (D) 17/39.

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