Pam  0:00  
Hey, fellow mathers! Welcome to the podcast where Math is Figure-Out-Able. I'm Pam.

Kim  0:07  
And I'm Kim.

Pam  0:07  
And this is a MathStratChat episode because we chat about our math strategies. Every Wednesday evening, I throw out a math problem on social media, and people from around the world chat about the strategies they use and comment on each other's thinking, Hey, Kim, did you know I'm getting lots of comments on LinkedIn now? 

Kim  0:23  
Oh.

Pam  0:23  
How fun is that? 

Kim  0:24  
You're

Kim  0:24  
putting MathStratChat there? 

Pam  0:25  
I am. Yeah.

Kim  0:27  
That's exciting. Alright, so this Wednesday our math problem was, if four-fifths is half of a number, what is three-fourths of that same number? How would you solve this problem? Pause, solve it however  you'd like. Come on back to hear how we're solving it. The problem is, if four-fifths is one-half of a number, what is three-fourths of that same number? 

Pam  0:46  
Hmm.

Kim  0:47  
Do you want to go or do

Kim  0:48  
you want me to? 

Pam  0:50  
Well, I'm playing with relationships right now.

Kim  0:55  
Okay.

Pam  0:55  
Yeah, I'm going to go. If four-fifths is half of a number, that's kind of like two-fourths of a number.

Kim  1:03  
Mmhm.

Pam  1:03  
And I want three-fourths of that number, so I need another half of it. Does that make sense? So, half of four-fifths is two-fifths, so I got to add the fourth-fifths and the two-fifths. 

Kim  1:13  
Wait, half? Oh, yeah. Half of... Yeah, sorry.

Pam  1:16  
Fourth-fifths is two-fifths. And I got to add that back to the half to get three-fourths. Wow, I'm shooting out lots of fractions here. So, that would be six-fifths. Oh, my gosh I love that my brain just did that. 

Kim  1:27  
Great job. 

Pam  1:28  
I did not used to be able to do that. As well, at least. Like, yeah. Think of the fact that I need three chunks. And if I can think about four-fifths as 2 chunks, I need 1 more of those chunks. Okay, what were you thinking

Pam  1:41  
about? 

Kim  1:41  
I'm going to tell you what I did, and then I'm going to tell you... Because I was thinking while you're thinking. Good job. And I'm going to tell you how I knew that mine was correct based on what you did. So, I said to myself, I don't really want to do all the fractions, so I wrote 8, 0.8 is one-half of a number.

Pam  2:04  
Code switching.

Kim  2:05  
Yeah, four-fifths to me, always reads 0.8.

Pam  2:09  
Okay. 

Kim  2:09  
So, then I said, if that's half the number, the whole number is 1.6. 

Pam  2:15  
Okay.

Kim  2:17  
But then I need three-fourths of 1.6.

Pam  2:20  
Okay. 

Kim  2:20  
And I know that if 16 is the whole number, then 12 is three-fourths. 

Pam  2:26  
Mmhm.

Kim  2:27  
So, then I said that must be 1.2. And then when you said... What did you say? You said six-fifths.

Pam  2:35  
Mmhm.

Kim  2:35  
Then I said, "Ah, that makes sense, because that's equivalent to twelve-tenths." Which is 1.2.

Pam  2:43  
Oh, nice. Ooh, that twelve-tenths, 1.2. I had to think about that for a sec. 

Kim  2:47  
Yeah, yeah.

Pam  2:47  
Okay.

Kim  2:48  
That was a fun one.

Pam  2:52  
Three-fourths of of 16. I like it. 

Kim  2:54  
Yeah.

Pam  2:55  
Yeah. Alright.

Kim  2:56  
Alright. Well, we can't wait to see what you do every week. You know, we're waiting on it. Join us on MathStratChat and let us know how you think about the problems and comment on other people's

Kim  3:05  
thinking.

Pam  3:05  
Yeah, we love it when you do that. We'll post the problems on Wednesday around 7:00 p.m. Central. When you answer, tag me and use the hashtag MathStratChat, then join us to hear how we're thinking about the problem. Ya'll, thanks for being part of the Math is Figure-Out-Able movement. Math is Figure-Out-Able!