Abag of trail weighs 11 1/2 ounces each serving of trail mix is 3/4 ounce how many servings are in the bag of trail mix? show your work

So, the bag weights 11, that is 11.5,, and also that is correct?

I changed it into an improper fraction, because the division will be easier later.

A serving is . So what we need to do is the divide the weight of the bag, that is by the weight of the serving, that is .

a division by fraction is a multiplication by its inverse, like this:

*

now we can simplify: the denominator of the first and the nominator of second are multilications of 2:

*

so there are 15 servings and a little will be left over.