[00:00:02.000] - Pam
Hey, fellow math-ers! Welcome to the podcast where Math is Figure-Out-Able! I'm Pam Harris.

[00:00:08.560] - Kim
And I'm Kim Montague.

[00:00:09.920] - Pam
And this episode is a MathStratChat episode where 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.

[00:00:22.880] - Kim
Okay, so this week our math problem was 201.6 divided by 48. How would you like to solve this problem? Pause the podcast, solve it however you'd like, and then come on back. The problem is 201.6 divided by 48.

[00:00:38.130] - Pam
Mmhm. I'm thinking.

[00:00:43.410] - Kim
Okay.

[00:00:48.210] - Pam
I don't know. Do you want me to think out loud? Or?

[00:00:52.620] - Kim
I think I know... I haven't solved it completely, but I think I know what I'm going to do.

[00:00:56.700] - Pam
Okay.

[00:00:57.100] - Kim
So do you want to go first or do you want me to go first?

[00:01:01.500] - Pam
I'm still thinking. You go ahead, and then I'll finish what I was doing.

[00:01:05.340] - Kim
Okay.

[00:01:05.900] - Pam
Okay.

[00:01:07.100] - Kim
So, I, when to think about equivalent ratio. So, I wrote 201.6 divided by 48, like with a fraction bar. And so then I'm going to call that equivalent to 100.8 divided by 24.

[00:01:25.100] - Pam
100.8.

[00:01:29.660] - Kim
Mmhm. That doesn't make me feel all that excited, so I'm going to go... Ooh. Well, I'll keep going.

[00:01:36.060] - Pam
Okay.

[00:01:37.180] - Kim
So then I'm going to write 50.4 divided by 12. And at that point, then I'm going to think about splitting the 50.4, 48 divided by 12, and 2.4 divided by 12.

[00:01:51.810] - Pam
Yeah.

[00:01:52.130] - Kim
So, I know 48 divided by 12 is 4. And then I know 24 divided by 12 would be 2. So, 2.4 divided by 12 is going to be 0.2. So, I'm going to get 4.2.

[00:02:04.770] - Pam
Mmhm.

[00:02:05.490] - Kim
Or 4 and 2/10.

[00:02:08.050] - Pam
Nice. Yeah. So, I was also thinking equivalent ratio.

[00:02:14.300] - Kim
Okay.

[00:02:15.020] - Pam
But I actually scaled up. So, from 201.6 divided by 48, I got 2016 divided by 480. And then I cut them in half. So, I got 1,008 divided by 240. Then I got 252. Then I divided by 4 to get 252 divided by 60. And that's where then you started solving. So, now I'm wondering. Divided by 60. I think I'm going to do what you just did where I'm going to think about 240 divided by 60, and then what's left over is 12 divided by 60.

[00:02:57.750] - Kim
Nice.

[00:02:58.790] - Pam
So, 240 divided by 60 is 4. And 12 divided by 60 is that... Is it 0.2? Now how am I thinking about that? Yeah, because I can see the 5 in the 60, so it's 0.2.

[00:03:12.840] - Kim
So, it's like a fifth, which is equivalent to...

[00:03:15.400] - Pam
Yeah, yeah.

[00:03:16.520] - Kim
I love decimals and fractions.

[00:03:18.760] - Pam
That's nice. Nice problem. Alright.

[00:03:20.440] - Kim
Alright, we can't wait to see what you do every week. We love getting on social media, so join us on MathStratChat and let us know how you think about the problems. And while you're there sharing your ideas, comment on each other's strategies.

[00:03:31.940] - Pam
We love it when you comment on each other's strategies. Y'all, we post the problems on Wednesdays 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. Thanks for being part of the Math is Figure-Out-Able movement. Math is Figure-Out-Able