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What is the improper fraction representation of the mixed number 15 7/12?

  1. 15/1

  2. 187/12

  3. 17/12

  4. 12/15

The correct answer is: 187/12

To convert the mixed number 15 7/12 into an improper fraction, you combine the whole number and the fractional part. The process involves multiplying the whole number by the denominator of the fraction and then adding the numerator of the fraction. In this case, you take the whole number 15 and multiply it by the denominator, which is 12. This gives you: 15 × 12 = 180. Then, you take this result and add the numerator of the fraction, which is 7: 180 + 7 = 187. Now, you place this result over the original denominator of the fraction. Therefore, the improper fraction representation of the mixed number 15 7/12 is: 187/12. This method effectively transforms the mixed number into a single fraction while retaining its value, confirming that the answer of 187/12 is indeed accurate.