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Express 9 1/6 as an improper fraction.

  1. 114/175

  2. 0.724

  3. 3/77

  4. 8 4/15

The correct answer is: 114/175

Expressing 9 1/6 as an improper fraction means converting the mixed number 9 1/6 to a fraction where the numerator is larger than the denominator. The answer A, 114/175, is the correct answer because the whole number 9 can be expressed as the denominator of the fraction (9/1) and the fraction 1/6 can be written with a common denominator of 175 (29/175). Therefore, the improper fraction is 114/175. The other options are incorrect because they do not have a larger numerator than denominator or do not represent the given mixed number. Option B, 0.724, is a decimal not a fraction. Option C, 3/77, is a proper fraction and not an improper fraction. Option D, 8 4/15, is a mixed number, not an improper fraction. Therefore, the correct answer is A.