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Which mixed number is equal to 8 25/56?

  1. 9 11/21

  2. 3/77

  3. 1 47/63

  4. 7 9/26

The correct answer is: 1 47/63

The mixed number 8 25/56 can be analyzed by first converting it into an improper fraction. To do this, multiply the whole number part (8) by the denominator (56) and then add the numerator (25). This results in: 8 * 56 + 25 = 448 + 25 = 473. So, 8 25/56 can be expressed as the improper fraction 473/56. Now, let’s compare this with option C, which is 1 47/63. To convert 1 47/63 into an improper fraction, we perform similar steps: multiply the whole number part (1) by the denominator (63) and then add the numerator (47): 1 * 63 + 47 = 63 + 47 = 110. This gives us the improper fraction 110/63. To find a common denominator to compare 473/56 and 110/63, we can find the least common multiple of 56 and 63, which is 1764. Next, convert each fraction to this common denominator: - For 473/56: (473 * 31)/(56 * 31) = 14663/1764. - For