17/ 2 as a mixed number. Give your answer in its simplest form.
The Correct Answer and Explanation is:
To express 172\frac{17}{2}217 as a mixed number, follow these steps:
- Divide the numerator (17) by the denominator (2): 17÷2=8 remainder 117 \div 2 = 8 \text{ remainder } 117÷2=8 remainder 1 This tells us that 17 can be divided into 8 whole parts, with a remainder of 1.
- Write the whole number part:
The quotient from the division is 8, so the whole number part of the mixed number is 8. - Write the remainder as a fraction:
The remainder is 1, and the denominator is the same as the original denominator, which is 2. Therefore, the fractional part is 12\frac{1}{2}21.
Thus, the mixed number form of 172\frac{17}{2}217 is:8128 \frac{1}{2}821
Explanation:
- Mixed number: A mixed number consists of a whole number and a proper fraction. It represents a quantity greater than or equal to 1 but less than the next whole number.
- Simplifying: The fraction 12\frac{1}{2}21 is already in its simplest form because 1 and 2 have no common factors other than 1. Hence, there is no need to simplify further.
Why this works:
By dividing 17 by 2, you find how many whole parts fit into 17 (which is 8). The remainder (1) represents the leftover part, and it is expressed as a fraction of the original divisor (2). Combining the whole part and the fractional part gives the final mixed number.
So, the mixed number equivalent of 172\frac{17}{2}217 is 8128 \frac{1}{2}821.
