How can 32/3 be expressed as a mixed number?

• A. 10 1/3
• B. 11 2/3
• C. 10 2/3
• D. 9 1/3

Answer: (C)

To express the improper fraction 32/3 as a mixed number, you first need to divide the numerator (32) by the denominator (3). When you perform this division, 32 divided by 3 equals 10 with a remainder of 2.

The quotient, 10, represents the whole number part of the mixed number. The remainder, 2, forms the numerator of the fractional part, and since we are still working with a denominator of 3, the fractional part becomes ( \frac{2}{3} ).

Thus, combining the whole number with the fractional part, 32/3 as a mixed number is expressed as 10 ( \frac{2}{3} ). This translates to 10 2/3, confirming that this is the correct representation of the original improper fraction.