Hi, I'd like to show
you how to divide
a mixed number by a fraction.
If you see what we have
here, we have a mixed number
divided by a fraction.
What we need to first do
is convert our mixed number
into a fraction.
Over on this sidebar, I'll
convert our mixed number
to a fraction.
So I have 2 and 3/5, and what
I've taught in past videos,
when converting a mixed
number to a fraction,
we multiply our denominator
times our whole number,
and then add the numerator.
So 2 times 5 is 10,
plus 3 will be 13/5.
I have 13/5, divided by 3/4.
Also, another kind
of shortcut that we
can use when dividing
fractions is to think of
take the second term, and flip
it to give you its reciprocal.
Then you can go ahead
and multiply across.
If I have 13/5 multiplied by--
now the reciprocal of
3/4 is going to be 4/3.
And the reason why we
have its reciprocal,
because if you guys remember,
the definition of reciprocal
is when you multiply a
number by its reciprocal,
the answer equals 1.
So, I multiply by
the reciprocal.
I have 13 times 4, is
going to be 52, over 15.
I'm going to leave my
answer as a mixed number.
That is how you divide a
mixed number by a fraction.
