Final answer:To convert the improper fraction 21/9 to a mixed number, divide 21 by 9. The quotient is 2, and the remainder is 3. Therefore, 21/9 is equivalent to the mixed number 2 3/9.Explanation:To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the numerator of the fraction. So, for the improper fraction 21/9, divide 21 by 9. The quotient is 2, and the remainder is 3. Therefore, the mixed number equivalent to the improper fraction 21/9 is 2 3/9.The student is asking how to convert the improper fraction 21/9 into a mixed number. To do this, we divide the numerator by the denominator. Here, 21 divided by 9 equals 2 with a remainder of 3. So, the mixed number is 2 with the fraction 3/9 remaining. However, we should simplify the fraction 3/9 by dividing both numerator and denominator by their greatest common divisor, which is 3, resulting in 1/3. Therefore, the mixed number equivalent to the improper fraction 21/9 is 2 1/3....

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