Math Park
Adding and Subtracting Fractions
11/24/2021 | 16m 35sVideo has Closed Captions
Use visual fraction models to add and subtract fractions with the same denominators.
Use visual fraction models to add and subtract fractions with the same denominators. Notice patterns in the numerator and denominator of the sum and difference. Get some more practice with identifying and representing equivalent fractions.
Problems playing video? | Closed Captioning Feedback
Problems playing video? | Closed Captioning Feedback
Math Park is presented by your local public television station.
Math Park
Adding and Subtracting Fractions
11/24/2021 | 16m 35sVideo has Closed Captions
Use visual fraction models to add and subtract fractions with the same denominators. Notice patterns in the numerator and denominator of the sum and difference. Get some more practice with identifying and representing equivalent fractions.
Problems playing video? | Closed Captioning Feedback
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- (Bell rings) - (Children shouting Yeah) - Get ready for a very special super-duper math class.
We're going on a field trip where learning math is tons of fun.
Our destination is The Math Park.
- (Music playing) - Howdy, Chipmunks.
Welcome to Math Park.
I'm park ranger, A.Rith Metic, but you can call me ranger Riff.
Math park is the place where there's a fork in the road of knowledge, but students are always spoonfed.
Today we're going to look at the fracture.
Hello Janet?
- Oh, hi ranger, Riff.
Hi everybody.
- What's the matter, Janet.
You're not showing your normal pearly whites.
Is something wrong?
- yeah.
My painting class starts in just a few minutes and I realized I don't have any green paint.
- Oh that doesn't sound so bad.
- Not so bad.
Not so bad.
Tell me ranger Riff.
What color is the grass?
- Green.
- And what color are the leaves on the trees?
- Green.
- And what color is green jello?
- I think green.
- Yeah.
Well, most of the time.
So how can you tell me that?
Not having green paint for your painting class is no big deal.
- It's not a big deal because I can show you how to make green paint and it's easy.
- Really?
Sure.
I've got a little movie on my cell phone.
Show you how to do it.
- Oh, I'd love to see it.
Cool.
- First you take one third of a cup of yellow paint.
- How can you tell if you've got one third of a cup?
- You use a measuring cup.
See the measuring cup has fractions on it.
There's one third of a cup.
Then you pour the yellow paint into a bowl.
Next, you'll need one third of a cup of blue paint.
- And I'll use the measuring cup.
- Right.
You fill it up to the one third mark.
Pour the blue paint into the bowl with the yellow paint.
And then you get a spoon and stir until the yellow and blue are mixed really well.
And look what color you get.
- Green.
That is so cool.
But how much green is it?
- Well let's do the math.
We started with one third cup yellow paint, and one third cup blue paint.
- So that's one third plus one third.
What does that add up to?
- Well, what do you think?
- Ooh, I really don't know.
- Well, let's watch the next part of our movie.
Watch what happens when we pour the green paint back into the measuring cup.
What fraction mark does the paint come up to on the measuring cup?
- (Birds chirping) - It's two-thirds.
So that's one-third plus one-third equals two-thirds.
- That's right.
You got it.
You know, some people would have said that one-third plus one third would have equal to six because they would have added the numerator and the denominator.
- Well, it's a common mistake.
- Well, I understand how that happens, but we're adding thirds.
So the denominator stays the same one third plus one third equals two-thirds.
- Thanks, ranger Riff.
I have just enough time to mix my green paint.
See you later.
- So long.
Good luck to ya.
- Here's a way to use fraction bar models to help you add fractions.
We're going to solve one sixth plus four sixth.
They both have the same denominator.
So this will be pretty easy.
- So, we have one sixth plus four sixths.
Here's what it means.
Let's draw a fraction bar, cut into six equal pieces.
Beautiful.
Next, shade in one sixth of the bar.
That's it.
One sixth of the bar is shaded.
The next thing we have to do is to add four sixths.
We don't have to draw another fraction bar though.
We just shade in four more of the six pieces.
Isn't that wonderful?
So how many pieces are shaded in now?
Yeah, five of the six pieces are shaded red.
And what does that tell us?
One sixth plus four sixths is five sixths.
- (music playing) - And now it's time to play Fraction Action.
Today's contestants are Loud Mouth, and Bullhorn.
Above their heads is a bar model divided into eighths.
Whichever contestant is the first one to completely fill in the bar model.
Wins.
Okay Loud Mouth, you're first.
Watch the fraction of generator and yell stop at any time.
- Stop!
It says one eight.
- That's one eighth for loud mouth.
All right.
Now it's your turn.
Bullhorn.
- Stop!
- Oh stopped on three eighths.
One eighth plus three eighths equals four eights.
- I got half of the bar filled.
- Your turn loud mouth.
- Okay.
Stop.
It stopped down.
Two eighths.
- We had four eighths, four eighths, plus two eighths equals six eighths.
- Six eighths.
Ha Ha.
I'm so close.
- Not close enough.
- Your turn Bull horn.
- Stop.
Oh, no.
It stopped a one eight.
- We had six eighths plus one eighth equals seven eights.
- Seven eighths.
You're sunk now, Bull Horn.
Stop.
Three eights.
I win.
- Not so fast, Loud Mouth.
You need one eight to win.
Three eighths is too big.
- Say what?
- Sorry about that.
Your turn Bull Horn.
- Stop.
Oh, look at that.
One eighth - Seven eighths plus one eight equals eighth eighths.
The whole bar is filled and Bullhorn is the winner.
- I won.
I won.
Hey, what do I win?
- This beautiful umbrella.
- An umbrella.
I don't need an umbrella.
- (Thunder noise) - Well, Loud Mouth being a good sport makes you a winner in the end.
- (Music playing) - And now Bill and Barbara's Math Drama.
- Barbara.
I'm home.
- I'm in the kitchen.
Well, hello darling.
How was your day at work?
- Dreadful.
But at least I get to come home to.. Cupcakes.
- Well, I'll tell you something.
It just keeps on getting better because these cupcakes are for my aunt Erna's birthday party tonight.
- Oh no, not another evening with aunt Erna.
- Bill.
- Yes.
I was just thinking hot diggity.
Another fun-filled evening with aunt Erna.
- And guess what?
Aunt Agnes?
Aunt Ruth and Helen and Francis.
Andy and Gloria will all be there.
- Oh great.
I'm going to be completely cornered tonight.
- Isn't that just wonderful, Bill?
- Peachy.
- (Phone rings) - Hello?
Oh yes.
Hello, aunt Erna.
How is our birthday girl?
Uh Huh?
Oh, oh no, no.
That's not a problem at all.
No, it's completely fine.
Oh, no worries.
All right, then I'll see you shortly.
Okay.
Bbye.
Oh no.
- What is it, Cupcake?
- It's devastating.
It's aunt Erna.
She called to say that aunt Agnes and Helen don't want frosting on their cupcakes.
- That is devastating news.
You've already frosted the eight cupcakes.
You can't exactly unfrost them.
There's only one thing to do.
Cancel the birthday celebration.
- No, no.
I have a solution to our problem.
- Send all your aunts out for pizza?
- No, I have a better solution.
And that solution is right here.
It's called a Subtractor.
- Barbara, it looks like a cell phone.
- Well, it is, but there is a subtraction button on it and all you have to do is point and watching.
Voila!
I mean, right now we have eight eights of the cupcakes with frosting on them, right?
Yes.
But we want two of the cupcakes to not have frosting on them, correct?
- Yes.
- All I have to do is set this to subtract frosting and watch.
- That's amazing.
Eight eighth of the cupcakes were frosted, but we subtracted frosting from two of the cupcakes.
Eight eighths minus two eighths equals six eighths, six out of the eight cupcakes still have frosting.
- That's right.
Six eighths.
- This is a wonderful device.
Can it subtract anything?
- I guess so.
Take a look.
- Just imagine the fun we could have with this device at aunt Erna birthday celebration, we could make that warp disappear off the end of her nose.
- Bill.
- I'm just kidding.
So let's see you just push these buttons here like that.
And then, - Bill, where did he go?
Bill.
Bill.
- Where did Bill go?
and will he return in time for aunt Erna's birthday party?
for the answers to these and other questions tune in tomorrow for bill and Barbara's Math Drama.
- We just saw how Bill and Barbara used a phone app to subtract fractions with the same denominators, but you don't really need an app to do it.
Let's try another one.
- Three fifths minus two fifths, ah, subtracting fractions might seem scary but less use our trusty old bar model to help us understand that better.
We're working with Fifth's so let's cut the bar model into five equal pieces.
We're starting off with three fifths.
So that means we need to shade in three of the five pieces.
Good job.
But we've got to subtract two fifths.
So here we go.
Let's unshade two of the five pieces.
Like that.
And what do you have left?
You got it.
One fifth.
- (Music playing) - Howdy Green horns.
I'm Math Billy and we're going to have a little quick draw contest to see who's faster at mathematics.
Me or you?
Here is how it's going to work in just a moment, you're going to see two fractions above my head and you have to decide what goes between them.
Greater than less than or equal sign.
And we'll see who's faster.
Are you ready?
Get set, Get set.
Draw.
- (music playing) I'm ready.
Whoo.
I think I got the answer.
Oh yeah I'm sure this time.
Done.
Did you get the equal sign?
Cause three sixths equals one half.
If you got it and you're smarter than a chicken calculator.
While you're faster than a pouncing dandelion, but I'm going get you next time.
(cowboy laughing) - (music playing) - (music playing) - Hiyah.
Sixths.
Five sixths.
- Bill, bill I thought that sounded like you.
What are you doing here?
We're supposed to be going to aunt Erna's birthday party.
Come on.
It's like you don't even want to go.
- Yes honey.
- Did you hear that?
That means Math Park is closing for today until Math Park reopens.
I salute you Math Chipmunks.
- (Children shouting yeah) - (Music playing) - Math park is presented by Lucky Cat Productions.
(music continues playing)
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Math Park is presented by your local public television station.