{"version":"1.0.0","segments":[{"speaker":"Pam","startTime":0.9,"endTime":4.44,"body":"Hey, fellow mathematicians!"},{"speaker":"Pam","startTime":0.9,"endTime":4.44,"body":"Welcome to the podcast where"},{"speaker":"Pam","startTime":4.44,"endTime":7.32,"body":"Math is Figure-Out-Able! I'm"},{"speaker":"Pam","startTime":4.44,"endTime":7.32,"body":"Pam."},{"speaker":"Kim","startTime":7.59,"endTime":8.28,"body":"And I'm Kim."},{"speaker":"Pam","startTime":8.58,"endTime":11.91,"body":"And this episode is a"},{"speaker":"Pam","startTime":8.58,"endTime":11.91,"body":"MathStratChat episode. What is"},{"speaker":"Pam","startTime":11.94,"endTime":14.55,"body":"MathStratChat? Well, every"},{"speaker":"Pam","startTime":11.94,"endTime":14.55,"body":"Wednesday evening, I throw out a"},{"speaker":"Pam","startTime":14.55,"endTime":17.7,"body":"math problem on all the social"},{"speaker":"Pam","startTime":14.55,"endTime":17.7,"body":"media and people from around the"},{"speaker":"Pam","startTime":17.7,"endTime":21.36,"body":"world chat about the strategies"},{"speaker":"Pam","startTime":17.7,"endTime":21.36,"body":"they use. We love seeing"},{"speaker":"Pam","startTime":21.36,"endTime":22.11,"body":"everyone's thinking."},{"speaker":"Kim","startTime":22.29,"endTime":22.86,"body":"Okay, y'all,"},{"speaker":"Kim","startTime":22.86,"endTime":29.19,"body":"this Wednesday, our math problem"},{"speaker":"Kim","startTime":22.86,"endTime":29.19,"body":"was 5 and 1/4 divided by 3. How"},{"speaker":"Kim","startTime":29.19,"endTime":32.1,"body":"would you solve this problem? Go"},{"speaker":"Kim","startTime":29.19,"endTime":32.1,"body":"ahead and pause the podcast and"},{"speaker":"Kim","startTime":32.1,"endTime":35.46,"body":"solve the problem any way you"},{"speaker":"Kim","startTime":32.1,"endTime":35.46,"body":"want. The problem is 5 and 1/4"},{"speaker":"Kim","startTime":35.49,"endTime":39.6,"body":"divided by 3. Solve it, and then"},{"speaker":"Kim","startTime":35.49,"endTime":39.6,"body":"come on back to hear how Pam and"},{"speaker":"Kim","startTime":39.6,"endTime":40.23,"body":"I solved it."},{"speaker":"Pam","startTime":41.52,"endTime":44.55,"body":"Alright. So, Kim, I'm going"},{"speaker":"Pam","startTime":41.52,"endTime":44.55,"body":"to ask you to go first today."},{"speaker":"Pam","startTime":44.58,"endTime":47.58,"body":"How were you thinking about 5"},{"speaker":"Pam","startTime":44.58,"endTime":47.58,"body":"and 1/4 divided by 3?"},{"speaker":"Kim","startTime":48.54,"endTime":49.8,"body":"Okay, so"},{"speaker":"Kim","startTime":52.5,"endTime":58.8,"body":"5 and 1/4, I think about..."},{"speaker":"Kim","startTime":52.5,"endTime":58.8,"body":"Well, it's fourths, and so I"},{"speaker":"Kim","startTime":58.8,"endTime":64.5,"body":"know 5 wholes is going to be"},{"speaker":"Kim","startTime":58.8,"endTime":64.5,"body":"twenty 1/4's."},{"speaker":"Pam","startTime":64.5,"endTime":64.53,"body":"Mmhmm."},{"speaker":"Kim","startTime":65.519,"endTime":68.729,"body":"Plus another 1/4. So,"},{"speaker":"Kim","startTime":65.519,"endTime":68.729,"body":"that's twenty-one 1/4's. So, I"},{"speaker":"Kim","startTime":68.729,"endTime":74.789,"body":"wrote down twenty-one 1/4's. And"},{"speaker":"Kim","startTime":68.729,"endTime":74.789,"body":"I know that 21 divided by 3 is"},{"speaker":"Kim","startTime":74.789,"endTime":82.439,"body":"7. So, twenty-one 1/4's is going"},{"speaker":"Kim","startTime":74.789,"endTime":82.439,"body":"to be 7/4."},{"speaker":"Pam","startTime":85.77,"endTime":88.05,"body":"Got it. Because you're"},{"speaker":"Pam","startTime":85.77,"endTime":88.05,"body":"thinking about 21 things,"},{"speaker":"Pam","startTime":88.05,"endTime":90.51,"body":"divided by 3 is 7 of those"},{"speaker":"Pam","startTime":88.05,"endTime":90.51,"body":"things."},{"speaker":"Kim","startTime":90.78,"endTime":91.05,"body":"Yeah."},{"speaker":"Pam","startTime":91.08,"endTime":93.99,"body":"And in this case, it was"},{"speaker":"Pam","startTime":91.08,"endTime":93.99,"body":"fourths, so seven-fourths. Nice."},{"speaker":"Kim","startTime":94.02,"endTime":94.26,"body":"Yep."},{"speaker":"Pam","startTime":94.29,"endTime":97.59,"body":"Nice, I like it. Super"},{"speaker":"Pam","startTime":94.29,"endTime":97.59,"body":"straightforward, makes sense,"},{"speaker":"Pam","startTime":97.59,"endTime":101.97,"body":"and I can see your reasoning."},{"speaker":"Pam","startTime":97.59,"endTime":101.97,"body":"Cool. So, I decided to take a"},{"speaker":"Pam","startTime":101.97,"endTime":106.92,"body":"little bit of partitive approach"},{"speaker":"Pam","startTime":101.97,"endTime":106.92,"body":"where I was thinking about"},{"speaker":"Pam","startTime":106.98,"endTime":111.54,"body":"literally sharing. So, 5 and 1/4"},{"speaker":"Pam","startTime":106.98,"endTime":111.54,"body":"divided by 3. I thought about"},{"speaker":"Pam","startTime":111.54,"endTime":114.48,"body":"like maybe 5 and 1/4 brownies."},{"speaker":"Pam","startTime":111.54,"endTime":114.48,"body":"Say, I don't know, we're hanging"},{"speaker":"Pam","startTime":114.48,"endTime":117.12,"body":"around after a party, and"},{"speaker":"Pam","startTime":114.48,"endTime":117.12,"body":"there's 5 brownies and 1/4 of a"},{"speaker":"Pam","startTime":117.12,"endTime":119.55,"body":"brownie, and there's 3 of us,"},{"speaker":"Pam","startTime":117.12,"endTime":119.55,"body":"and we're hungry. And we're"},{"speaker":"Pam","startTime":119.55,"endTime":123.03,"body":"like, \"Hey, let's split those"},{"speaker":"Pam","startTime":119.55,"endTime":123.03,"body":"evenly.\" So, if we were going to"},{"speaker":"Pam","startTime":123.03,"endTime":126.48,"body":"do that, I think we would"},{"speaker":"Pam","startTime":123.03,"endTime":126.48,"body":"probably start by giving"},{"speaker":"Pam","startTime":126.48,"endTime":129.69,"body":"everybody a brownie, right?"},{"speaker":"Pam","startTime":126.48,"endTime":129.69,"body":"Because there's 3 of us, there's"},{"speaker":"Pam","startTime":129.69,"endTime":133.8,"body":"5 and 1/4 brownies. So, if I"},{"speaker":"Pam","startTime":129.69,"endTime":133.8,"body":"gave everybody a brownie, then"},{"speaker":"Pam","startTime":133.8,"endTime":138.39,"body":"everybody has 1 brownie so far,"},{"speaker":"Pam","startTime":133.8,"endTime":138.39,"body":"and we have 2 and 1/4 brownies"},{"speaker":"Pam","startTime":138.39,"endTime":140.07,"body":"left. Does that make sense?"},{"speaker":"Kim","startTime":140.7,"endTime":140.73,"body":"Mmhmm."},{"speaker":"Pam","startTime":141.59,"endTime":144.74,"body":"So, with those 2 and 1/4"},{"speaker":"Pam","startTime":141.59,"endTime":144.74,"body":"brownies left, I was thinking."},{"speaker":"Pam","startTime":144.77,"endTime":149.15,"body":"Well, then we might say, \"Let's"},{"speaker":"Pam","startTime":144.77,"endTime":149.15,"body":"cut up those 2 brownies into"},{"speaker":"Pam","startTime":149.15,"endTime":153.59,"body":"halves and give everybody a"},{"speaker":"Pam","startTime":149.15,"endTime":153.59,"body":"half.\" So, so far, everybody has"},{"speaker":"Pam","startTime":153.62,"endTime":157.46,"body":"a brownie and a half of a"},{"speaker":"Pam","startTime":153.62,"endTime":157.46,"body":"brownie. And we've sort of used"},{"speaker":"Pam","startTime":157.52,"endTime":162.86,"body":"up 3... The first ones are 3,"},{"speaker":"Pam","startTime":157.52,"endTime":162.86,"body":"and then another 1 and a 1/2, so"},{"speaker":"Pam","startTime":162.86,"endTime":166.49,"body":"it's like 4 and a 1/2 brownies"},{"speaker":"Pam","startTime":162.86,"endTime":166.49,"body":"are gone. And we just had 5 and"},{"speaker":"Pam","startTime":166.52,"endTime":169.28,"body":"1/4. So, we still have a half a"},{"speaker":"Pam","startTime":166.52,"endTime":169.28,"body":"brownie and a quarter of a"},{"speaker":"Pam","startTime":169.28,"endTime":173.24,"body":"brownie left. Can you picture"},{"speaker":"Pam","startTime":169.28,"endTime":173.24,"body":"that? Half and a quarter? That's"},{"speaker":"Pam","startTime":173.24,"endTime":175.91,"body":"like 3/4. We have a half a"},{"speaker":"Pam","startTime":173.24,"endTime":175.91,"body":"brownie and a quarter brownie"},{"speaker":"Pam","startTime":175.91,"endTime":180.44,"body":"left is 3/4. So, if I split up"},{"speaker":"Pam","startTime":175.91,"endTime":180.44,"body":"those three quarters, but to"},{"speaker":"Pam","startTime":180.44,"endTime":183.95,"body":"those three people, they each"},{"speaker":"Pam","startTime":180.44,"endTime":183.95,"body":"get a quarter. So, so far, each"},{"speaker":"Pam","startTime":183.95,"endTime":186.71,"body":"of us has gotten a whole"},{"speaker":"Pam","startTime":183.95,"endTime":186.71,"body":"brownie, a half a brownie, and a"},{"speaker":"Pam","startTime":186.71,"endTime":191.36,"body":"quarter of a brownie, and that's"},{"speaker":"Pam","startTime":186.71,"endTime":191.36,"body":"1 to 3/4's brownies. (unclear)."},{"speaker":"Kim","startTime":192.9,"endTime":193.92,"body":"Can I tell you something?"},{"speaker":"Pam","startTime":193.92,"endTime":193.98,"body":"Yeah."},{"speaker":"Kim","startTime":194.01,"endTime":197.94,"body":"That when you said you were"},{"speaker":"Kim","startTime":194.01,"endTime":197.94,"body":"going to think of it as sharing."},{"speaker":"Pam","startTime":198.12,"endTime":198.69,"body":"Yeah?"},{"speaker":"Kim","startTime":198.96,"endTime":202.62,"body":"And you were talking about"},{"speaker":"Kim","startTime":198.96,"endTime":202.62,"body":"the three people, I looked at"},{"speaker":"Kim","startTime":202.62,"endTime":205.56,"body":"the numbers that I had written,"},{"speaker":"Kim","startTime":202.62,"endTime":205.56,"body":"and I was like, \"Oh, Kim. You're"},{"speaker":"Kim","startTime":205.56,"endTime":208.02,"body":"an Over person. You love to"},{"speaker":"Kim","startTime":205.56,"endTime":208.02,"body":"Over.\""},{"speaker":"Pam","startTime":208.26,"endTime":208.8,"body":"Oh."},{"speaker":"Kim","startTime":208.95,"endTime":213.39,"body":"So, what if it had been 6"},{"speaker":"Kim","startTime":208.95,"endTime":213.39,"body":"brownies divided by 3 people?"},{"speaker":"Kim","startTime":213.78,"endTime":217.98,"body":"Then, everybody would have"},{"speaker":"Kim","startTime":213.78,"endTime":217.98,"body":"gotten 2. But we don't have 6."},{"speaker":"Kim","startTime":218.01,"endTime":221.61,"body":"We have 3/4 less than 6."},{"speaker":"Pam","startTime":222.48,"endTime":224.97,"body":"Wait, I'm not following"},{"speaker":"Pam","startTime":222.48,"endTime":224.97,"body":"you. Say that again? What are"},{"speaker":"Pam","startTime":224.97,"endTime":225.66,"body":"you starting from?"},{"speaker":"Kim","startTime":226.05,"endTime":228.99,"body":"Yeah, if it had been 6"},{"speaker":"Kim","startTime":226.05,"endTime":228.99,"body":"divided by 3 (unclear)."},{"speaker":"Pam","startTime":230.7,"endTime":232.92,"body":"Oh, because the problem..."},{"speaker":"Pam","startTime":230.7,"endTime":232.92,"body":"Okay, so hang on. The problem's"},{"speaker":"Pam","startTime":232.92,"endTime":234.33,"body":"5 and 1/4 divided by 3."},{"speaker":"Kim","startTime":234.42,"endTime":234.96,"body":"Yeah."},{"speaker":"Pam","startTime":234.99,"endTime":237.21,"body":"But you're like, \"What if"},{"speaker":"Pam","startTime":234.99,"endTime":237.21,"body":"we had 6 divided by 3?\" Alright,"},{"speaker":"Pam","startTime":237.21,"endTime":238.59,"body":"I finally follow you. Okay, go"},{"speaker":"Pam","startTime":237.21,"endTime":238.59,"body":"ahead."},{"speaker":"Kim","startTime":238.59,"endTime":239.04,"body":"Okay, then,"},{"speaker":"Kim","startTime":239.04,"endTime":241.56,"body":"everybody would be getting 2"},{"speaker":"Kim","startTime":239.04,"endTime":241.56,"body":"brownies."},{"speaker":"Pam","startTime":241.74,"endTime":242.25,"body":"Okay."},{"speaker":"Kim","startTime":243.18,"endTime":246.12,"body":"But we don't have 6. We"},{"speaker":"Kim","startTime":243.18,"endTime":246.12,"body":"only have 5 and 1/4 brownies."},{"speaker":"Kim","startTime":246.57,"endTime":251.7,"body":"So, we have 3/4 less than the 6"},{"speaker":"Kim","startTime":246.57,"endTime":251.7,"body":"brownies."},{"speaker":"Pam","startTime":252.33,"endTime":252.36,"body":"Mmhmm."},{"speaker":"Kim","startTime":252.57,"endTime":256.35,"body":"So, since there are 3"},{"speaker":"Kim","startTime":252.57,"endTime":256.35,"body":"people, each of those people"},{"speaker":"Kim","startTime":256.35,"endTime":259.65,"body":"like basically has to give back"},{"speaker":"Kim","startTime":256.35,"endTime":259.65,"body":"a quarter, if they had gotten 2"},{"speaker":"Kim","startTime":259.65,"endTime":260.43,"body":"brownies."},{"speaker":"Pam","startTime":261.39,"endTime":261.42,"body":"Mmhmm."},{"speaker":"Kim","startTime":261.63,"endTime":265.98,"body":"So, then, I would get the"},{"speaker":"Kim","startTime":261.63,"endTime":265.98,"body":"same 1 and 3/4 that you got when"},{"speaker":"Kim","startTime":265.98,"endTime":266.46,"body":"you were (unclear)."},{"speaker":"Pam","startTime":266.49,"endTime":269.28,"body":"Nice Over. I really like"},{"speaker":"Pam","startTime":266.49,"endTime":269.28,"body":"that. That was fun. Ha, cool."},{"speaker":"Kim","startTime":269.28,"endTime":269.79,"body":"Yeah."},{"speaker":"Kim","startTime":269.85,"endTime":274.02,"body":"Alright, cool. So, we can't wait"},{"speaker":"Kim","startTime":269.85,"endTime":274.02,"body":"to hear your strategies,"},{"speaker":"Kim","startTime":274.02,"endTime":276.63,"body":"listeners. I wonder if your"},{"speaker":"Kim","startTime":274.02,"endTime":276.63,"body":"strategy was like one of the"},{"speaker":"Kim","startTime":276.63,"endTime":279.45,"body":"ones that we talked about here"},{"speaker":"Kim","startTime":276.63,"endTime":279.45,"body":"or something entirely different."},{"speaker":"Kim","startTime":279.66,"endTime":281.88,"body":"Represent your thinking, and"},{"speaker":"Kim","startTime":279.66,"endTime":281.88,"body":"then take a picture of it and"},{"speaker":"Kim","startTime":281.88,"endTime":286.14,"body":"share it with us, and tell the"},{"speaker":"Kim","startTime":281.88,"endTime":286.14,"body":"world on social media. While"},{"speaker":"Kim","startTime":286.14,"endTime":288.36,"body":"you're there, check out and"},{"speaker":"Kim","startTime":286.14,"endTime":288.36,"body":"comment on what other people"},{"speaker":"Kim","startTime":288.36,"endTime":288.75,"body":"did."},{"speaker":"Pam","startTime":289.44,"endTime":292.5,"body":"And tag me on Twitter at"},{"speaker":"Pam","startTime":289.44,"endTime":292.5,"body":"@PWHarris. Or Instagram,"},{"speaker":"Pam","startTime":292.53,"endTime":296.55,"body":"PamHarris_math. Or look for Math"},{"speaker":"Pam","startTime":292.53,"endTime":296.55,"body":"is Figure-Out-Able on Facebook."},{"speaker":"Pam","startTime":296.88,"endTime":300.09,"body":"And make sure you check out the"},{"speaker":"Pam","startTime":296.88,"endTime":300.09,"body":"next MathStratChat problem. We"},{"speaker":"Pam","startTime":300.09,"endTime":304.44,"body":"post every Wednesday around 7pm,"},{"speaker":"Pam","startTime":300.09,"endTime":304.44,"body":"8pm Central time. Sometime when"},{"speaker":"Pam","startTime":304.44,"endTime":308.16,"body":"I get around to it. And pop back"},{"speaker":"Pam","startTime":304.44,"endTime":308.16,"body":"here to hear what we're thinking"},{"speaker":"Pam","startTime":308.16,"endTime":311.28,"body":"about the problem. Ya'll, we"},{"speaker":"Pam","startTime":308.16,"endTime":311.28,"body":"love having you as part of the"},{"speaker":"Pam","startTime":311.28,"endTime":313.92,"body":"Math is Figure-Out-Able"},{"speaker":"Pam","startTime":311.28,"endTime":313.92,"body":"movement. Help us spread the"},{"speaker":"Pam","startTime":313.92,"endTime":316.11,"body":"word that Math is"},{"speaker":"Pam","startTime":313.92,"endTime":316.11,"body":"Figure-Out-Able!"}]}