what is the simplest form of fraction of 17 2?
The Correct Answer and Explanation is:
To express 17/2 as a mixed number, the fraction is already in improper form, meaning the numerator (17) is larger than the denominator (2). To convert it to a mixed number, follow these steps:
- Divide 17 by 2: Perform the division to determine how many whole numbers fit into 17. 17÷2=8 remainder 117 \div 2 = 8 \text{ remainder } 117÷2=8 remainder 1 This means 17 can be written as 8 whole parts with a remainder of 1. Therefore, the mixed number is: 8128 \frac{1}{2}821
- Simplify the remainder: The remainder is 1, and it is over the original denominator of 2. So, the fraction part is 12\frac{1}{2}21.
Thus, the mixed number representation of 17/2 is 8 1/2.
Explanation:
A mixed number consists of a whole number and a fraction. To convert an improper fraction like 17/2 into a mixed number, you divide the numerator (17) by the denominator (2). The quotient gives the whole number part, and the remainder, written over the original denominator, gives the fractional part.
The improper fraction 17/2 means we are taking 17 parts, each of size 1/2. If we divide these into full parts (whole numbers), we get 8 full parts (each of size 2/2). The remaining 1/2 completes the fraction.
This method of conversion works for any improper fraction. The key is to perform the division and use the quotient for the whole number and the remainder for the fractional part. The mixed number makes it easier to interpret and visualize the fraction in terms of whole numbers and smaller fractional units.
