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### Course: Class 8 (Foundation)>Unit 6

Lesson 1: Ratio and proportion

# 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.

## Want to join the conversation?

• 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?
• 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.
• It's an 8 to 12 ratio, right?
• its the # of apples to the # of fruit 😁
• why is it always about apples and organes??
• I want it to be apples and bannanas [lick!]
• what if for each apple there was 2 bananas, then there were no apples
• Then there would be 0 bananas as well.
• 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!
• what does this have to do with lebrons legacy?
• Nothing, its math.