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## 6th grade (Eureka Math/EngageNY)

### Course: 6th grade (Eureka Math/EngageNY)>Unit 1

Lesson 1: Topic A: Representing and reasoning about ratios

# Part:whole ratios

Sal uses part:whole ratios to compare one type of fruit to a group of fruit.   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 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.
• i am stuck on ratio can you help?
• Hey, you can see Part to Whole ratios as fractions. Lets say, the ratio of blue sofas to total amount of sofas is . You can also see it has 3/11. It doesn't work with part to part ratios though, so pay close attention before answering!
• Ratios are like fraction.
• So think about that it makes things much easier if you don't know this symbol 4:5.
• At , SO....... what you are saying is that ratios are written like time? Doesn't that ever get confusing?

-ratios on a clock
• Ha ha! Ratios on a clock! Well, you can and can’t really get confused. As you may know, a day has 12 hours, so the hours on the clock goes till 12. But, if the the first number in the ratio is greater than twelve you know it isn’t a time you would see on a clock. But, if that’s not the case then you might get confused, unless someone specified.
• 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)
• 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.
• 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!
• how to get back to begining
(1 vote)
• Click this → . You are welcome, Elizabeth.