To convert the improper fraction 17/8 into a mixed number, you follow a simple process:
- Divide the numerator by the denominator: In this case, you divide 17 (the numerator) by 8 (the denominator). This gives you a quotient of 2.
- Find the remainder: Next, calculate the remainder of 17 divided by 8. Since 8 goes into 17 two times, you multiply 2 by 8, which equals 16. Now subtract this from the original numerator: 17 – 16 = 1. Thus, the remainder is 1.
- Express as a mixed number: A mixed number consists of a whole number and a proper fraction. Here, the whole number is the quotient (2), and the proper fraction is the remainder (1) over the original denominator (8). Therefore, you can express this as:
The mixed number is:
2 1/8
In conclusion, 17/8 as a mixed number is 2 1/8.