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## 5th grade foundations (Eureka Math/EngageNY)

### Course: 5th grade foundations (Eureka Math/EngageNY) > Unit 5

Lesson 3: Topic C: Foundations- Multiplying fractions and whole numbers visually
- Multiply fractions and whole numbers
- Compare with multiplication
- Compare with multiplication word problems
- Multiplication word problem: carrots
- Division word problem: row boat
- Multiplication and division word problems
- Multi-step unit conversion examples (U.S. Customary)
- US customary conversion word problems

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# Multi-step unit conversion examples (U.S. Customary)

CCSS.Math:

Sal solves multi-step unit conversion example using U.S. Customary units of measure.

## Want to join the conversation?

- what is a decagram?(10 votes)
- A decagram is a 10-point star polygon. So basically, a start that has 10 points.

Hope this helps! If you have any questions or need help, please ask! :)(12 votes)

- can you subtract to figure the problem?(7 votes)
- Is it possible to compare capacity with length?(7 votes)
- 3 pounds is 48 ounces of Pasta but pasta and cheese combined is 60 ounces.(6 votes)
- if you bought 24 sandwich's at poppies and each sandwich cost 5.83 and you only have $200. do you have at least the amount to buy 24 sandwich's?(2 votes)
- That was very confusing but I get it now. I have one question, what if you doing that with feet and miles?(2 votes)
- its to much to understand(2 votes)
- 1 ton 1,000 pounds(2 votes)
- If there is a 20 piece McDonald’s nugget In front of me and 5 ketchup packets on the side, also there is a 5 ounce drink on the table. How can we split the ketchup to where all the nuggets can have some ketchup and how much do I drink with 5 nuggets?

Example listed at:8:46am(2 votes) - what does symetric or symetry mean?(2 votes)
- it means the sides of the object are exactly the same on both sides.(1 vote)

## Video transcript

- [Instructor] Brooklyn
purchased three pounds of pasta and 12 ounces of cheese to
make macaroni and cheese. What is the total weight, in ounces, total weight in ounces, of the pasta and cheese combined? So they give us the weight
of the pasta in pounds, and they give us the weight
of the cheese in ounces, and we want to add the total weight, but they have to all be in ounces. So let's first, let's first convert these
three pounds of pasta into a certain amount of
ounces of ounce, of pasta. So we already know that one
pound is equal to 16 ounces. They tell us that. So what would three pounds be? So, if I had three pounds, how many ounces would that be? I encourage you to pause the
video and think about it. Well, let's see, if you're
having three times the pounds, you're also going to have
three times the ounces. So, if one pound is 16 ounces,
if you have three times as many pounds, you're
gonna have three times as many ounces. So 16 times three is 48, 48 ounces. So Brooklyn, the three pounds
of pasta that she purchased, that can also be viewed as 48 ounces. 48 ounces of pasta. So she has 48 ounces of pasta, and 12 ounces of cheese. So what is the total weight,
in ounces, of them combined? Well it's going to be 48 ounces 48 ounces plus the 12 ounces of cheese. 48 ounces of pasta plus
12 ounces of cheese, give us a total of 60
ounces of pasta and cheese, combined. Let's do another example, with other units. So we are told, David is making a wall out of bricks. Each brick is 2/3 of a foot long. Each brick is 2/3 of a foot long. There are 20 bricks lined up
end to end to make the wall. What is the total length
of the wall in inches? We've got to pay attention to the units. So they give us the length
of each brick in feet. So, we know that each brick here, let me draw a brick. The length here is 2/3 of a foot. 2/3 of a foot. So what would this length be in inches? Well, once again, we can look
at the conversion between foot and inches. If I go from one foot to 2/3 of a foot, well I've multiplied by 2/3. So, if one foot is 12 inches,
and if I want to know how many inches 2/3 inches, or 2/3 of a foot is in inches, well, I would multiply by 2/3 again. In either case, you could
view this as multiplying both sides of this conversion, by 2/3. And so, 2/3 of a foot
is 2/3 times 12 inches. And so 12 times two over three, that would be 24 over three. So this is going to be
equal to 24 over three inches. I'll just write I-N for
short, right over here. 24 over three, which is
equal to eight inches. So each brick is, either you
could view it as 2/3 of a foot long or you could view it as eight inches. Eight inches long. And there are 20 bricks lined up end to end to make the wall. So what is the total length
of the wall in inches? Well, it's going to be eight brick, each brick is eight inches, times 20. Times 20. And eight times two is 16, so eight times 20 is 160 inches. Let's do one more of these. And this time, let's
deal with some volume. So this says, Blanca buys
two gallons of green paint. She uses five quarts to
paint her front porch and 0.5 quarts to paint the front porch swing. How may quarts of paint
does Blanca have left? So we're given the
original amount in gallons, but we want to know how
many quarts she has left. So let's convert the amount
she originally has into quarts. So they tell us one gallon
is equal to four quarts. So two gallons, two gallons is going to be equal to two gallons is going to be twice as many quarts, is gonna be eight quarts. So that's what she starts with. And one way to think about this, I just took this conversion, well if I'm a have twice as many gallons, then I'm gonna have twice as many quarts, if I want to express
that volume in quarts. So, one way of thinking about it, she starts with eight quarts. She starts with eight quarts. Eight quarts. She uses five quarts to
paint her front porch. So minus five quarts, on the front porch, is what she used. And she used .5 quarts
to paint the porch swing. So minus 0.5 quarts. That looks like a "g." 0.5 quarts. Well, what is that going to be? Well, eight minus five is three, minus .5 is 2.5. So she is going to be
left with 2.5 quarts. And we have answered the question in terms of the units they care about. In terms of quarts.