Convert the fraction to a mixed number and simplify. 28/3=
The correct answer and explanation is:
The fraction 28/3 can be converted to a mixed number by dividing the numerator by the denominator.
First, divide 28 by 3. The quotient is 9 because 3 goes into 28 nine times (3 × 9 = 27). The remainder is 1 since 28 – 27 = 1.
This means that 28/3 can be written as the mixed number 9 1/3. The whole number part is 9, and the fractional part is the remainder over the original denominator, which is 1/3.
To check if the fraction part can be simplified, observe the numerator and denominator of the fraction 1/3. The numerator is 1 and the denominator is 3. Since 1 and 3 have no common factors other than 1, the fraction 1/3 is already in its simplest form.
Therefore, the simplified mixed number form of 28/3 is 9 1/3.
This process of converting an improper fraction (a fraction where the numerator is larger than the denominator) to a mixed number involves division to separate the whole number from the fractional remainder. The whole number represents how many times the denominator fits fully into the numerator. The remainder becomes the numerator of the fractional part, with the denominator staying the same. Simplifying the fraction part ensures the answer is expressed in the simplest terms for easier understanding and use in further calculations or comparisons.