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What does the mixed number 1 47/63 represent as an improper fraction?

  1. 3 7/79

  2. 8 4/15

  3. 9 11/21

  4. 114/175

The correct answer is: 114/175

To convert the mixed number 1 47/63 into an improper fraction, you start by multiplying the whole number by the denominator of the fractional part. In this case, multiply 1 (the whole number) by 63 (the denominator), which gives you 63. Next, add the numerator of the fractional part, which is 47. This results in: 63 + 47 = 110. Finally, you place this sum over the original denominator (63) to form the improper fraction: 110/63. The answer suggested as D (114/175) does not match the calculation. The correct improper fraction from the mixed number 1 47/63 is actually 110/63 and none of the options provided reflect this computation accurately. Thus, the conversion process correctly yields 110/63.