When we are dealing with fractions, we need to be able to change between improper fractions and mixed numbers.
An improper fraction (also called a top-heavy fraction) is just a fraction where the top number is bigger than the bottom one, such as...
A mixed number is just a number that is written as a whole and a fraction, like...
So, how do we convert between the two?
When we have an improper fraction, we need to think that the line in the middle of a fraction means to divide.
So the fraction 16/5 can be read as "16 divided by 5" or "how many 5s go into 16?"
If we did the sum 16 ÷ 5, we would get 3 remainder 1.
So how do we put this into the mixed number?
The 3 comes from how many whole 5 go into 16, the 1 comes from the remainder and the 5 comes from how much we divide by.
And it always will be.