name- danielle level of question: elementary/middle who is asking question: preservice teacher
I am embarrased to be asking this question, but... is it possible to have a fraction with a zero? For example, 0/4. This does not make sense to me and I do not know what it would be representing, other than nothing! Is it proper to express such a fraction?
The fraction 0/4 does represent something. What it represents is zero.
Suppose that I have 12 pencils to distribute to 4 students so that each student gets the same number of pencils. How many pencils do I give to each student? This is the classic division problem. The number of pencils I give to each student is 12/4 = 3.
Now suppose that I have 0 pencils. If I distribute these pencils among the 4 student then each student gets 0/4 = 0 pencils.
Maybe it helps to consider an example where the measurement is length.