To convert the mixed number 9 1/2 into an improper fraction, we follow a straightforward process. A mixed number consists of a whole number and a proper fraction. In this case, 9 is the whole number and 1/2 is the proper fraction.
First, we multiply the whole number (9) by the denominator of the fraction (2):
- 9 × 2 = 18
Next, we add the numerator of the fraction (1) to this result:
- 18 + 1 = 19
Now, we place this result over the original denominator:
- So, 9 1/2 as an improper fraction is 19/2.
Therefore, the improper fraction representing 9 1/2 is 19/2.