There are a couple of ways to look at this question. One way is to think of this question as asking for a mixed number result. Another is to think of it as an improper fraction.

Let's start with just looking at the statement for a moment. We have a mixed number (#4 2/3#) that is being added to a whole number (112). What is this saying? If we talk in terms of pizzas, we have 4 pizza added to another pizza that is only #2/3# there and we're then adding another 112 pizzas. So really, we have three addition statements:

#4+2/3+112#

and being addition, we can add them together:

#4+2/3+112=116 2/3#

This is the **mixed number** form of the answer.

What if we want to know how many equal pieces of pizza there are? For instance, we know that one of our pizzas only has #2/3# left to it. We can say that the smallest "slice" we want to consider is one that is #1/3# of a pizza. To do that, we need to convert the 116 whole pizzas into a form that expresses how many "#1/3# of a pizza slices" they have.

Each whole pizza has 3 slices that are "#1/3# of a pizza" big, so we'll multiply 116 by 3 (#116*3=348#) for the number of slices and put that into the numerator of a fraction. But since we are no longer talking about whole pizzas, we'll need to have a 3 in the denominator to show we're talking about thirds of a pizza:

#116/1=116/1*3/3=348/3#

We can now add the whole thing up:

#348/3+2/3=350/3#

This is the **improper fraction** form.