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Lesson 1: Ratio

# Part:whole ratios

In this video, we explore ratios using apples and oranges. We find the simplified ratio of apples to total fruit (2:5) and learn to represent ratios as fractions (2/5). The fraction indicates that 2/5 of the fruit are apples. Key definitions include ratio, simplified ratio, and fraction notation. Created by Sal Khan.

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• In a problem before, we had 32 1/2 times 2. Supposedly, the answer was 65, I'm a little bit confuse why that is the answer, shouldnt we convert the mixed # into a improper fraction and then multiply by 2?

HELP
• As you said, you can turn 32 1/2 to fraction first then multiply it by 2. It'll look like this: 65/2 * 2 = 65. You can also do it like this: 32 1/2 is the same as 32.5 so multiply it by 2 and you get 65.
• At , are ratios the exact same as fractions? And what is the point of having two different ways of expressing the same thing?
(1 vote)
• You could consider fractions to be a specific kind of ratio in the same way that a square is a specific kind of rectangle. The point of having two ways of expressing them is that they deal with information slightly differently:

A fraction describes a single quantity based on its relationship to another quantity. In this example, the quantity of apples related to the quantity of total fruit. "2/5 of them are apples". This is clear and specific, and you can use it in equations.

Ratios are more flexible. They can be more complicated than fractions and contain more information, but that also makes them harder to use. In the video's example, the ratio of apples to oranges could be expressed as 2:3. You could also add a third number for total fruit; Apples to oranges to total fruit are 2:3:5. Now you can tell just by looking at the numbers that all of the fruit are either apples or oranges, that the fraction that are apples is 2/5 and that the fraction that are oranges is 3/5. However, you couldn't use 2:3:5 in an equation the same way you can with a fraction because it doesn't identify what quantity you are measuring.

Tl;dr: Ratios can give you more information about a complicated data set. Fractions can be used in equations but can't contain as much information. Simple ratios with only two terms can be written as fractions and are equivalent to them.
• At a soccer tournament 12 teams are wearing red shirts, 6 teams are wearing blue shirts, 4 teams are wearing orange shirts, and 2 teams are wearing white shirts.

For every 2 teams at the tournament, there is 1 team wearing _______ shirts.

(Choice A)
Red

(Choice B)
Blue

(Choice C)
Orange

(Choice D)
White
• You're looking for the shirt color that appears once every two teams, so it would have half of the teams that the total does. Since the total is 12 teams, our color should have half of those, which is 6 teams. 6 teams are wearing blue shirts.
• Can 400 percent be a ratio?
• Yes, it can when we convert 400% to a fraction. 400% can also be written as 400/100, and therefore the ratio will become 0. (This is not supposed to be a video benchmark)
• What is the difference of a ratio and a fraction?
• A ratio is a fraction that looks different:
`` 5/6 = 5:6 ``

If you mean a subtraction problem, you can't subtract them.
Hope this helps!
• I need help with this a lot i can't do this can someone help me?
• There are several ways to compare things, so we could have about 3 dogs for every 2 cats in America. You can have a ratio of dogs to cats (3:2), cats to dogs (2:3) or you could have dogs to total where total requires you to add all the parts so dogs to total (3:5) or cats to total (2:5). We could not use the word pets because this is broader than just cats and dogs. With dogs to total, we could have equivalent ratios for smaller subsections such as 3:5, , , , etc. all of which could reduce down to 3:5, but one might be ratio of dogs to total in a house, one might be on a farm, in a block, or in a neighborhood. What parts are confusing you?
• Can someone please explain ratios really need help.
• A ratio is the relationship in number, quantity, or degree between two or more things. For example, there are ratios between the numerator and denominator of a fraction.

There are also ratios between functions.
Below is an example of a ratio:

• 1:2:3
• 2:4:6
The ratio of the second list is 2 times the ratio of the first list, because for each increase of 1 in the first, the second increases by a value two times greater.
The word "ratio" comes from the word "rate".
• are the ratio of apples 🍎 to oranges 🍊 a ratio? because I wouldn’t be able to say it the other way around Right?