## Dividing Fractions Word Problem

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

U02_L2_T3_we5 Dividing Fractions Word Problem

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Video Language:
English
Duration:
02:08
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