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### Course: 6th grade > Unit 1

Lesson 2: Visualize equivalent ratios- Ratios with tape diagrams
- Ratios with tape diagrams (part:whole)
- Ratios with tape diagrams
- Equivalent ratio word problems
- Simplify a ratio from a tape diagram
- Equivalent ratios with equal groups
- Ratios and double number lines
- Create double number lines
- Ratios with double number lines
- Relate double number lines and ratio tables

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# Ratios with tape diagrams (part:whole)

Find the ratio of open-ended to multiple-choice questions. If the ratio is 5:4, it means for every 5 open-ended questions, there are 4 multiple-choice questions. The video then shows how to use this ratio to complete a table with missing values for multiple-choice and total questions.Read a part-to-whole ratio from a tape diagram showing the ratio of the two parts. Then scale up to generate sets of values that the diagram might represent. Created by Sal Khan.

## Want to join the conversation?

- Can you please add the subtitles(13 votes)
- there are subtitles on most videos, just click the CC at the bottom for "closed captions". is it not on this one?(34 votes)

- I don't get how you get the answer? Great video btw but I mostly don't understand quite a bit of it.(15 votes)
- You get the answer by figuring out what can be multplied by the numbers in the ratios to get your new ratio.(2 votes)

- I kinda get it but also dont get it.. HELP AHHHH :((8 votes)
- so it's like this, you have the smaller numbers, 5 and 4. 5 and 4 are just the ratios. Add 5 and 4 together to get 9(The total amount of questions ratio). Then, for the first answer you can see that 4 is multiplied by 2 to get 8. So then you can just take 9 and multiply it by 2. You get 18! Yay! only 1 more question left! Now you have 45 as your hint. If you divide, that's really just 9 times 5. Now that you know that, you can use the 5 and multiply it with 4. Now you have 20! And you are also done!

Hope this helped :D(8 votes)

- Can someone do an example cause i'm so confused right now(3 votes)
- u could use the same example teacher Sam said.

u also could use ratios in ur question like the upvotes & downvotes:

the number of upvotes to the number of downvotes, which is:

1:1 or 1 to 1(2 votes)

- Are ratios important except for science(2 votes)
- They are always important(2 votes)

- Does anybody have any other purposes for ratios in real life except for cooking?(2 votes)
- Science... For figuring out percentages...

remember ratios are just another form of fractions...(2 votes)

- how do I multiply,divide,subtract and add whole by fractions. for example: 22 x 3/4

21+ 2/9

36- 20/34

And so so forth

And how do I add ratios(2 votes) - I get normal ratios just not the tape ones?!(2 votes)
- where is he getting the multiplication numbers from so confused(1 vote)
- They have a screen next to them and they read off of it, so technically they don’t do it.(2 votes)

- Can you tell me about more tape diagram I don't get it?(1 vote)
- well what you do is you see what the question is first then you see if they ask what like red to blue paint, but there is a trick up there sleeve that a lot of people don't know about. that trick is you have to answer in the order they put it in.(1 vote)

## Video transcript

- [Instructor] We're told
that Peni wrote a survey with open-ended and
multiple-choice questions. The diagram shows the ratio
of the question types. So what it shows us is that for every one, two, three, four,
five open-ended questions, there are one, two, three,
four multiple choice questions. And let's be clear, this
is showing the ratio of open-ended questions to
multiple choice questions. It's not telling us exactly how many of each type of question we have. We just know for every five open-ended, there are four multiple-choice, or for every four multiple-choice, there are five open-ended. The table shows some numbers
of multiple choice questions and total questions that
could be on Peni's survey. Based on the ratio, complete the missing values in the table. So like always, pause this video and see if you can have
a go at this on your own before we work through it together. Alright, so some of you
might not have realized that it says total questions here. It does not say multiple-choice questions and open-ended questions. So, one way to tackle
this is to think about, well, what is going to be the ratio between multiple-choice
questions and total questions? So, let's think. If we were to create another bar for total questions that showed the ratio, for every five open-ended questions, you'll have four multiple-choice questions and you would have nine total questions. So it would look like this: one, two, three, four, five, six, seven, eight and nine. I'm just adding these two together. So, we could say that the ratio of multiple-choice to total questions is going to be four to nine. For every four multiple-choice questions, you're going to have nine total questions. So, in this first row we have eight multiple-choice questions. So, that's two sets of four. So, we're gonna have two
sets of nine total questions. That still is the same ratio. Eight is to 18 as four is to nine. And now in the second row they give us the actual number of total questions. Well, that is nine goes
into 45 five times. That's five sets of nine. So you're gonna have five sets of four multiple-choice questions. So five times four is 20, and we're done.