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Fractions As Numbers
GenX-Education
Follow
9/9/2024
Category
📚
Learning
Transcript
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00:00
Hey guys and welcome to the Red Planet.
00:06
I am here hitching a ride headed towards my spaceship to take me home.
00:10
The only problem I have is that I need fraction power and we are low.
00:15
You see, my spaceship runs on fraction power and in order to get the batteries full I need
00:20
to put in the right fractions to recharge the batteries.
00:24
Let's charge the batteries with the fractions I have collected and then I can go home.
00:30
Here we are at the charging station.
00:32
The first thing we need to do is review what is a fraction.
00:36
You may remember from my other videos but just in case you forgot, here we go.
00:41
A fraction represents an equal part of a whole.
00:45
Here we see two circles but only one circle represents a fraction.
00:49
Can you guess which one?
00:52
If you guessed the red circle on the left you are right.
00:56
To be a fraction you must have all equal parts.
00:59
The blue circle on the right is not divided equally so it cannot be a fraction.
01:06
We also need to review how a fraction is written.
01:09
The fraction we see is 1 over 3 or 1 third.
01:14
The top number is called the numerator and the bottom number is called the denominator.
01:19
The numerator is a part of the whole circle.
01:22
The numerator is 1 because there is one yellow part of the whole circle.
01:26
The denominator is the number on the bottom that shows all the parts in the entire circle.
01:31
Because the entire circle is made of 3 parts the denominator is 3.
01:36
This fraction is 1 over 3 also called 1 third.
01:41
Now that we have this out of the way let's move on to recharge my spaceship.
01:46
My batteries only take this type of fraction.
01:49
This is what we call a unit fraction.
01:52
Any fraction where the top number is 1 is called a unit fraction.
01:57
In a unit fraction it doesn't matter what number is the denominator.
02:01
This is why we have the letter b here.
02:03
The letter b can represent any number.
02:06
All this is saying is 1 over any number represented by the letter b.
02:11
So it could be 1 over 2, 1 over 3, 1 over 4, well you get the idea.
02:19
Here is a rectangle that is divided into 4 parts.
02:22
Can you tell me what the fraction is for just this part here?
02:28
This is 1 over 4 or 1 fourth.
02:32
We can see that each of these parts is 1 fourth of the entire rectangle.
02:37
When you put it all together they make one whole rectangle.
02:42
The battery only gets charged when taking one part of the whole or in this case 1 fourth.
02:49
Let's get another fraction.
02:53
Here is a rectangle with 5 equal parts.
02:56
To write the fraction let's start with the denominator.
02:58
What number should the denominator be?
03:02
The denominator is 5 because there are a total of 5 parts of the whole.
03:07
All 5 pieces together make one whole.
03:12
Remember that my batteries get charged with unit fractions which are just one part of
03:16
the whole so we have 1 over 5 or 1 fifth.
03:20
Let's put this fraction in the charger and try another one.
03:26
Here we have 2 circles.
03:28
Let's see how many parts we have in each circle.
03:31
On the left the circle has how many equal parts?
03:36
There are 6 equal parts to this circle so the fraction we want is just one part of the
03:41
6 pieces.
03:44
This fraction is 1 over 6 also called 1 sixth.
03:49
Now let's look at the circle on the right.
03:51
What is the fraction for just one piece of this circle?
03:56
The fraction is 1 over 2 also called 1 half.
04:00
The part we need is 1 half of the entire circle.
04:04
Great job guys I am on my way home now.
04:07
But wait I noticed something.
04:09
On the left we have 1 sixth and on the right we have 1 half but they are definitely different
04:15
in size.
04:17
It looks like you get more with 1 half than 1 sixth.
04:21
This is good to know.
04:22
As the denominator or number on the bottom gets bigger the actual piece itself gets smaller.
04:28
It is like sharing a pizza.
04:30
When you eat it with one friend you both get more than if you share it with 6 friends.
04:38
Awesome job!
04:39
My spaceship is now fully charged.
04:42
Thanks for helping me charge the batteries with unit fractions.
04:46
We will see you next time.
04:47
Goodbye!
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