A fraction as a divisor

A fraction is actually a division exercise! A result obtained from a division exercise is called a quotient and if it is incomplete, it will appear in the form of a fraction.

It is important to remember the rules:
The fraction line - symbolizes the division operation.
The numerator - symbolizes the number that is being divided (the divided number) - what must be equally divided among all (for example, cakes, pizzas, etc.)
The denominator - symbolizes the number that divides the numerator. (for example, the number of people that should be divided among)

A division exercise can be converted into a fraction easily and quickly according to the above rules.

Convert the division exercise $4:2=$ into a fraction

Solution:
In the numerator - put the number being divided: $4$
Let's not forget the fraction line that will mark the division operation.
In the denominator - put the number that divides the numerator: $2$
We get: $4 \over 2$
Obviously, we can simplify it and we get $2$ (it was asked how many times the denominator fits into the numerator)

Another exercise:
Convert the division exercise $10:3=$ into a fraction

Solution:
In the numerator - put the number being divided: $10$
Let's not forget the fraction line that will mark the division operation.
In the denominator -> put the number that divides the numerator-> $3$
We get: $10 \over 3$
We can convert it into a mixed fraction and we get $3 \frac{1}{3}$

We will be asked how many times the denominator fits into the numerator without remainder
in our exercise $3$ fits into $10$: $3$ times - this will be the number of whole numbers.
The denominator - will remain the same: $3$
In the numerator - we will subtract the original numerator minus the result of the product between the number of whole numbers we obtained multiplied by the denominator. That is: $10-(3 \times 3)=1$
The final result: $1$ will appear in the numerator.

In the kitchen, there are $6$ delicious chocolate cookies.
Roberto, Mariana, and Lionel want to share them equally.
How many cookies will each one get?

Solution:
To find out how many cookies each one will get, we will have to do a division exercise.
We will write down the number of cookies divided by the number of people and get the result.
That is:
$6:3=2$
We could write the exercise as a fraction as we learned before and get:
$\frac{6}{3}=2$
each one will get $2$ cookies.

Bernard, Oscar, Nicholas, Ernest, and Gabriel are playing in the courtyard.
Suddenly, the teacher brings them $6$ pizzas and asks them to share equally.
How many pizzas will each child receive?

Solution:
To answer, we will need to write a division exercise: the number of pizzas to be divided, divided by the number of children in the courtyard.
That is:
$6:5=$
Pay attention! It's time to turn the exercise into a fraction to know exactly how many pizzas each child received.
We will invert and get $\frac{6}{5}=$
Now, we will convert the similar fraction into a mixed number and get $1 \frac{1}{5}$.
Each child received one whole pizza and another fifth of a pizza. Or in summary $1 \frac{1}{5}$ pizzas.

$3$ Good friends celebrated a birthday in the garden.
On the table –> $4$ Cakes.
The children were asked to distribute the cakes equally.

Solution:
This time, we will write the division exercise directly as a fraction to save us a step.
In the numerator - the number that needs to be divided: $4$ Cakes.
In the denominator - the number by which the cakes are divided: $3$ -> the number of children celebrating.
We will obtain:
$\frac{4}{3}$
(The fraction expresses the division exercise for us $4:3=$)
We will convert it into a mixed number and obtain: $1 \frac{1}{3}$
Each child received $1 \frac{1}{3}$ cake.

What would happen if there were only $2$ cakes on the table? How much would each child get then?

Solution:
If there were $2$ cakes on the table we would get:
$2 \over 3$

It is impossible to reduce it or convert it into a mixed number and that is exactly the answer.
All the children would have received $2 \over 3$ cake.