A baby's T-shirt requires 4/5 yards of fabric, or 4/5 of a
yard of fabric.
How many T-shirts can be made from 48 yards?
So what we want to do is we essentially want to say how
many groups of 4/5 of a yard can we make with 48 yards?
So you literally view this as we want to take 48 yards and
divide it into groups of 4/5 of a yard, and say how many
groups are there?
Because each of those groups can make
one to baby's T-shirt.
If you give me 4/5 of a yard, one baby's T-shirt, so the
number of groups of 4/5 is the number of babies' T-shirts.
Now, when we divide by a fraction, we just have to
remember that that is the same thing, that is completely
equivalent to multiplying times the
reciprocal of the fraction.
So if we have 4/5 here, that'll be 5/4, the
reciprocal.
Now, you still might say, hey, I have a whole number here and
a fraction, and you just have to remember any whole number
can be written as a fraction.
This is the same thing as 48/1 times 5/4.
Now, we could just multiply it out at this point and figure
out what 48 times 5 is and that'll be over 4, but that'll
get big numbers and it'll be hard to kind of divide and all
that, but we could divide at this stage right here.
We could divide the numerator and the denominator by 4.
Or we could say, look, this is going to be equal to 48 times
5, whatever that is, over 4.
Now, let's divide the numerator by 4.
Well, we could divide 48 by 4, and we will get to 12, and
whatever we did to the numerator, we have to do to
the denominator, so if we divide 4 by 4, we get 1.
So then we're left with 12 times 5, which is equal to 60.
12 times 5, which is equal to 60/1, which is the exact same
thing as 60.
So you can actually make 60 children's or babies' T-shirts
from 48 yards if each of them use 4/5 of a yard.