To convert the improper fraction 19/4 into a mixed number, we first need to divide the numerator by the denominator.
When we divide 19 by 4, we find that 4 goes into 19 a total of 4 times, since 4 x 4 = 16. This leaves a remainder of 3 (because 19 – 16 = 3).
So, we can express this as:
The whole number part is 4, and the remainder forms the new numerator over the original denominator. Thus, we have:
4 and 3/4.
Combining these gives us the mixed number:
4 3/4
So, 19/4 as a mixed number is 4 3/4.