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### Course: Arithmetic > Unit 10

Lesson 10: Multiplying fractions word problems# Multiplying fractions word problem: muffins

Learn how to solve word problems involving the multiplication of fractions. Watch an example of a real-life scenario where fractions need to be multiplied, and then practice applying this concept to similar problems. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

- To solve, can't you also do 3/4 divided by 2? 3/4*1/2=3/8, right?(26 votes)
- Yes you can! Dividing by a number is the same as multiplying by its
**reciprocal**. To find the reciprocal of a number we swap the numerator and denominator. Just be careful not to get confused when saying you divide a fraction by something. For example, you might accidentally do this:`3/4 ÷ 2`

3/(4÷2)

3/2

Which as you know isn't right!(21 votes)

- 1/2 means half?? right or wrong(11 votes)
- Yes 1/2 and half are the same thing. They are both one half.(8 votes)

- 7/24x20/21x9/10=(7 votes)
- how do you know whether you have to add, subtract, divide, or multiply?? Someone help please asap!!(5 votes)
- In worded problems like this, the clue to add, subtract, divide, or multiply comes from a few words in the problem itself

If you see the words sum, altogether or increase in a worded problem, you probably have to do addition. If you see the words difference, decrease or less than, you probably have to do subtraction. If you see the words of, each or product, you probably have to multiply. If you see the words per, average or shared equally, you probably have to divide.

In this worded problem, we see the word "of". This means we have to multiply 1/2 by 3/4. If you do that, the answer is 3/8(6 votes)

- i don't get how to simply(5 votes)
- Let's say your answer is 42/12 you have to cut them in half so the 42 will become 21 and the 12 will be cut in half and be 6 so your answer is 12/6 and you can cut it in half again 12 cut in half is 6 and 6 cut in half is 3 now we have 6/3 and that is 50 percent so we make that a 1/2. Ask more if your still stuck.(2 votes)

- in multiplying fractions do you always have to multiply the denominator all the time or just certain problems?(4 votes)
- The central hotel just hired a new chef . This chef mkes a hot sauce dat uses 1 3/4 tablespoons of chilly powder he needs to increase d recipe by 3 1/2 times how many table spoons of chilly powder should be used?(3 votes)
- You should just multiply the tablespoons the chef uses by the number of times he needs to increase: 1 3/4 x 3 1/2. The answer is 4 3/8.(3 votes)

- I don't get this.(4 votes)
- what fraction of an houyr is 7 minutes?(4 votes)

## Video transcript

A recipe for banana oat muffins
calls for 3/4 of a cup of old-fashioned oats. You are making 1/2
of the recipe. How much oats should you use? So if the whole recipe requires
3/4 of a cup and you're making half of
the recipe, you want half of 3/4, right? You want half of the number of
old-fashioned oats as the whole recipe. So you want 1/2 of 3/4. So you just multiply 1/2 times
3/4, and this is equal to-- you multiply the numerators. 1 times 3 is 3. 2 times 4 is 8. And we're done! You need 3/8 of a cup of
old-fashioned oats. And let's visualize that a
little bit, just so it makes a little bit more sense. Let me draw what 3/4 looks like,
or essentially how much oats you would need in a normal
situation, or if you're doing the whole recipe. So let me draw. Let's say this represents a
whole cup, and if we put it into fourths-- let me divide
it a little bit better. So if we put it into fourths,
3/4 would represent three of these, so it would represent
one, two, three. It would represent
that many oats. Now, you want half
of this, right? Because you're going to make
half of the recipe. So we can just split
this in half. Let me do this with
a new color. So you would normally use this
orange amount of oats, but we're going to do half the
recipe, so you'd want half as many oats. So you would want
this many oats. Now, let's think about
what that is relative to a whole cup. Well, one way we can do it is
to turn each of these four buckets, or these four pieces,
or these four sections of a cup into eight sections
of a cup. Let's see what happens
when we do that. So we're essentially turning
each piece, each fourth, into two pieces. So let's divide each
of them into two. So this is the first piece. We're going to divide it into
two right there, so now it is two pieces. And then this is the second
piece right here. We divide it into one piece
and then two pieces. This is the third piece, so
we divide it into one, two pieces, and this is the fourth
piece, or the fourth section, and we divide it into
two sections. Now, what is this as a fraction
of the whole? Well, we have eight
pieces now, right? One, two, three, four, five,
six, seven, eight, because we turned each of the four, we
split them again into eight, so we have 8 as the denominator,
and we took half of the 3/4, right? Remember, 3/4 was in orange. Let me make this very
clear because this drawing can get confusing. This was 3/4 right there. So that is 3/4. This area in this purple color
is 1/2 of the 3/4. But let's think about it
in terms of the eights. How many of these sections
of eight is it? Well, you have one section of
eight here, two sections of eight there, three sections
of eight, so it is 3/8. So hopefully that makes some
sense or gives you a more tangible feel for what
it means when you take 1/2 of 3/4.