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There are two basic types of fractions
proper and improper.
A proper fraction is a fraction who's numerator is smaller than it's denominator.
Right just think about the pizza I had last night.
I ate five slices of the original sixteen slice pizza.
Five out of sixteen slices is the fraction five sixteenths.
Five sixteenths is a proper fraction
because it's numerator five is less than it's denominator sixteen.
Comparing these two pizzas
I think you can see that five sixteens is less than sixteen sixteenths
and sixteen sixteenths equals one.
Therefore five sixteenths is less than one.
That was an example of using fractions to describe parts of a whole.
How do we use fractions to describe members of a set
or objects of a group?
At least a once a month I go bowling with my dad.
I'm not a great at it but I do get my fair share of spares.
As you probably know, there are ten bowling pins.
What you might not know is you can use the ten pins
to represent the members of a set
if you knocked down three pins you have eliminated three members from
the set and this can be represented as three tenths.
Using the same example the remaining seven pins
also represent members of the set.
The fraction seven-tenths can represent them.
Get it?
See... factions don't have to be hard.
Here are just a few more examples of proper fraction to
make sure you can recognize a proper fraction:-
Five-ninths,
Seven-tenths,
Six-thirteenths,
and fifteen-twenty seconds.
Please notice any each and every case the numerator is less than the denominator
this also tells us that the value of each of these proper fractions is less
than one.