00:00Friends, today's topic is ratios and proportions. Let's get straight to our first topic: what is a ratio?
00:06A ratio is defined as the division of two quantities of the same unit, at least one of which must be non-zero.
00:35What do we call that part? We call it a ratio.
00:42So, friends, the ratio of a to b can be shown as a divided by b.
00:53It is shown as a divided by b.
01:01Let's give an example.
01:08What is this ratio of 5 kilograms to 2 kilograms, guys?
01:24Make sure that both items use the same units, such as kilograms or liters, when written next to them.
01:325 kilograms, and its unit is kilograms, so we can take the ratio of 2 kilograms, right guys?
01:39Yes, so we say the ratio is 5 to 2.
01:44Okay, let's buy one more, guys.
01:51Now, if we say that 4 kilograms is equal to 8 liters, can we consider that a ratio, friends? No.
02:05From where?
02:07From where?
02:07You can't make comparisons using terms like 1 kilogram or 1 liter here, because the units are different.
02:18Since they are different, let's show you here, friends, what was 4 kilograms?
02:26An 8-liter yield is not possible.
02:33Friends, this isn't about percentages.
02:37For example, let's say Müge is 9 years old and Mine is 12 years old.
03:00Let's look at the ratio of Müge's age to Mine's age.
03:19Hey everyone, how old is Müge? She's 9!
03:22I'm saying this because Mine's age is 12, so the ratio is 9 divided by 12.
03:26If we simplify this even further, we can also write it as 3 divided by 4.
03:32We say the ratio is 3 to 4.
03:36Let's expand on our example a little further.
03:42Let's say, for example, that 100 liters of water are mixed with 20 liters of alcohol.
04:02First of all, friends, let's ask this question.
04:05The ratio of the volumes of water and alcohol is what represents a volume in liters, right friends?
04:11Let's look at the ratio of the volumes of water and alcohol.
04:21This.
04:23So, what's our water situation now, folks?
04:25In liters.
04:27What kind of alcohol are we drinking?
04:29It's also measured in liters.
04:32Yes.
04:33So, friends, this is what we'll do.
04:36How much water did we have?
04:37100.
04:40How much alcohol do we have?
04:4120 liters.
04:43If we set the ratio to 120, it would be 5.
04:46That place doesn't have a unit, folks.
04:48We write the ratio as 5.
04:50They differ in number.
04:50Yes.
04:51Let's move on to the second one.
04:57The ad is mixed in at home.
05:09Let's take a look at the alcohol content, guys.
05:12What is this?
05:12Okay friends, I'll write it down right away.
05:15Alcohol, liters, division... what were they again, guys?
05:21Mixture.
05:23What was that?
05:24A mixture of water and alcohol.
05:26Liter.
05:27It's also equal to that.
05:29How much alcohol do we have, guys?
05:30It's 20 liters.
05:31I'm writing 20.
05:32How much of the mixture is there, guys?
05:33100 plus 20, right?
05:36100 plus 20 liters.
05:38A mixture of the two.
05:39That's 120 liters.
05:40So when we divide 20 by 120, we get 1.6.
05:44We find our answer as 1 divided by 6.
05:46If we were to calculate this as a percentage...
05:49If it's 1 in 6, what percentage is that?
05:53We'll get to those later through the concept of direct proportionality.
05:556 times x equals 100.
05:58x equals 50 divided by 3.
06:00I simplified it even further.
06:02It's also equal to that.
06:03We find this to be 16.6% in percentage terms.
06:07Thank you for watching.
06:07Goodbye.
06:07Goodbye.
06:07Goodbye.
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