# 2.Topic 1-Video 3

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Sometime students struggle
when they are beginners at reducing fractions.
Students are usually more comfortable with multiplication, versus division.
Therefore, we are going to use multiplication
to reduce our fraction.
First, you must find a common factor
of the numerator and the denominator of the given fraction.
In this case,
a common factor of 32 and 80
is 8.
So what we're going to do
is we're going to write the common factor
of 8 on the top and the bottom of the new fraction bar.
And, then we're going to multiply each of the 8s
by the number that would produce the numerator and the denominator
of the given fraction.
8 times 4 is 32.
And, 8 times 10 is 80.
The next step in this process
is to simply cross out the common factor.
Then you must examine the fraction that we have left,
in this case four tenths,
and ask yourself,
"Is there a common factor that remains
of the 4 and the 10?"
If there is a common factor remaining
of the new fraction,
then you can reduce further.
Because, 2 is a common factor of 4 and 10,
I'm going to write a 2 on the top and a 2 on the bottom,
and multiply those common factors
by the numbers that will produce
the numerator and the denominator of the fraction four tenths.
What we'll have remaining is two fifths.
If there are no common factors remaining
of the numerator and the denominator,
we are reduced to the lowest terms.
So, we would say
that thirty-two eightieths
in the lowest terms is two fifths.
Now, notice how at first,
we did not reduce all the way.
We only reduced some of the way,
but, eventually
we kept examining our new fraction,
and making sure that
we could reduce even further.