{"version":"1.0.0","segments":[{"speaker":"Pam","startTime":0.72,"endTime":4.35,"body":"Hey, fellow mathematicians!"},{"speaker":"Pam","startTime":0.72,"endTime":4.35,"body":"Welcome to the MathStratChat"},{"speaker":"Pam","startTime":4.53,"endTime":9.66,"body":"episode of the podcast Math is"},{"speaker":"Pam","startTime":4.53,"endTime":9.66,"body":"Figure-Out-Able. I'm Pam Harris."},{"speaker":"Kim","startTime":9.93,"endTime":10.98,"body":"And I'm Kim Montague."},{"speaker":"Pam","startTime":11.31,"endTime":14.16,"body":"And what is MathStratChat?"},{"speaker":"Pam","startTime":11.31,"endTime":14.16,"body":"Well, every Wednesday evening, I"},{"speaker":"Pam","startTime":14.16,"endTime":16.8,"body":"throw out a math problem on"},{"speaker":"Pam","startTime":14.16,"endTime":16.8,"body":"social media, and people from"},{"speaker":"Pam","startTime":16.8,"endTime":20.7,"body":"around the world share the"},{"speaker":"Pam","startTime":16.8,"endTime":20.7,"body":"strategies they use. We love to"},{"speaker":"Pam","startTime":20.7,"endTime":21.6,"body":"see your thinking!"},{"speaker":"Kim","startTime":21.84,"endTime":24.84,"body":"So, this Wednesday, our"},{"speaker":"Kim","startTime":21.84,"endTime":24.84,"body":"math problem that we shared was"},{"speaker":"Kim","startTime":24.87,"endTime":29.67,"body":"3 and 1/3 divided by 4. How"},{"speaker":"Kim","startTime":24.87,"endTime":29.67,"body":"would you solve this problem?"},{"speaker":"Kim","startTime":29.79,"endTime":33.33,"body":"Pause the podcast, solve it any"},{"speaker":"Kim","startTime":29.79,"endTime":33.33,"body":"way you want, and then come back"},{"speaker":"Kim","startTime":33.33,"endTime":36.78,"body":"and listen to how we solve it."},{"speaker":"Kim","startTime":33.33,"endTime":36.78,"body":"The problem was 3 and 1/3"},{"speaker":"Kim","startTime":36.81,"endTime":38.04,"body":"divided by 4."},{"speaker":"Pam","startTime":38.58,"endTime":41.73,"body":"Alright. So, Kim, I've been"},{"speaker":"Pam","startTime":38.58,"endTime":41.73,"body":"playing with a strategy the last"},{"speaker":"Pam","startTime":41.73,"endTime":46.11,"body":"few MathStratChat episodes."},{"speaker":"Pam","startTime":41.73,"endTime":46.11,"body":"People might be like, \"Pam, stop"},{"speaker":"Pam","startTime":46.11,"endTime":50.7,"body":"with your stupid divide out"},{"speaker":"Pam","startTime":46.11,"endTime":50.7,"body":"strategy, like share the brownie"},{"speaker":"Pam","startTime":50.7,"endTime":55.11,"body":"with people.\" Check out how it"},{"speaker":"Pam","startTime":50.7,"endTime":55.11,"body":"works on this problem. So, if I"},{"speaker":"Pam","startTime":55.11,"endTime":59.13,"body":"have 3 and 1/3 divided by 4. By"},{"speaker":"Pam","startTime":55.11,"endTime":59.13,"body":"the way, I'm going first today,"},{"speaker":"Pam","startTime":59.13,"endTime":59.22,"body":"Kim."},{"speaker":"Kim","startTime":60.18,"endTime":61.26,"body":"It's totally fine"},{"speaker":"Kim","startTime":60.18,"endTime":61.26,"body":"(unclear)."},{"speaker":"Pam","startTime":61.26,"endTime":64.77,"body":"Here we go. Taking over."},{"speaker":"Pam","startTime":61.26,"endTime":64.77,"body":"I'm excited! Alright, so if I"},{"speaker":"Pam","startTime":64.77,"endTime":67.68,"body":"have 3 and 1/3 brownie shared"},{"speaker":"Pam","startTime":64.77,"endTime":67.68,"body":"with 4 people. You might be"},{"speaker":"Pam","startTime":67.68,"endTime":72.12,"body":"like, \"Pam, that's a terrible"},{"speaker":"Pam","startTime":67.68,"endTime":72.12,"body":"strategy.\" Or is it? Because"},{"speaker":"Pam","startTime":72.15,"endTime":74.58,"body":"let's say that I've got those 4"},{"speaker":"Pam","startTime":72.15,"endTime":74.58,"body":"people, and they're looking"},{"speaker":"Pam","startTime":74.61,"endTime":78.57,"body":"hungrily at those 3 and 1/3"},{"speaker":"Pam","startTime":74.61,"endTime":78.57,"body":"brownies. I'm going to go ahead"},{"speaker":"Pam","startTime":78.57,"endTime":82.62,"body":"and give everybody a 1/2 of a"},{"speaker":"Pam","startTime":78.57,"endTime":82.62,"body":"brownie. So, if I give 4 people"},{"speaker":"Pam","startTime":82.65,"endTime":87.87,"body":"1/2 of a brownie, I've gotten"},{"speaker":"Pam","startTime":82.65,"endTime":87.87,"body":"rid of 2 brownies, right? So, I"},{"speaker":"Pam","startTime":87.9,"endTime":93.6,"body":"now have only 1 and 1/3 brownie"},{"speaker":"Pam","startTime":87.9,"endTime":93.6,"body":"left. Well, 1 and 1/3 brownies,"},{"speaker":"Pam","startTime":93.6,"endTime":98.79,"body":"that's like 4/3 because I have"},{"speaker":"Pam","startTime":93.6,"endTime":98.79,"body":"3/3 and 1/3. So, that's 4/3. And"},{"speaker":"Pam","startTime":98.79,"endTime":103.86,"body":"I have four 1/3's to split among"},{"speaker":"Pam","startTime":98.79,"endTime":103.86,"body":"4 people. That means they each"},{"speaker":"Pam","startTime":103.86,"endTime":104.7,"body":"get a third."},{"speaker":"Kim","startTime":104.73,"endTime":105.15,"body":"Nice."},{"speaker":"Pam","startTime":105.45,"endTime":107.52,"body":"Everybody got a half of a"},{"speaker":"Pam","startTime":105.45,"endTime":107.52,"body":"brownie and a third of a"},{"speaker":"Pam","startTime":107.52,"endTime":110.79,"body":"brownie. Bam! That's a pretty"},{"speaker":"Pam","startTime":107.52,"endTime":110.79,"body":"slick strategy for"},{"speaker":"Pam","startTime":110.79,"endTime":111.27,"body":"that problem."},{"speaker":"Kim","startTime":111.27,"endTime":113.16,"body":"Nice. Yeah, it is nice."},{"speaker":"Pam","startTime":113.4,"endTime":114.96,"body":"Thank you. I appreciate"},{"speaker":"Pam","startTime":113.4,"endTime":114.96,"body":"that. Alright."},{"speaker":"Kim","startTime":116.7,"endTime":121.2,"body":"I did not think about fair"},{"speaker":"Kim","startTime":116.7,"endTime":121.2,"body":"sharing or dealing out. What I"},{"speaker":"Kim","startTime":121.2,"endTime":124.89,"body":"actually thought about was..."},{"speaker":"Kim","startTime":121.2,"endTime":124.89,"body":"Oh, gosh, here I am with the"},{"speaker":"Kim","startTime":126.03,"endTime":130.65,"body":"division words. I... Is it"},{"speaker":"Kim","startTime":126.03,"endTime":130.65,"body":"partitive? Is it quotitive? I"},{"speaker":"Kim","startTime":130.65,"endTime":133.86,"body":"think it's quotitive. So, I"},{"speaker":"Kim","startTime":130.65,"endTime":133.86,"body":"actually thought about an"},{"speaker":"Kim","startTime":133.86,"endTime":136.23,"body":"equivalent division problem."},{"speaker":"Pam","startTime":136.5,"endTime":137.1,"body":"Ah, partitive."},{"speaker":"Kim","startTime":137.13,"endTime":141.72,"body":"So... Thank you. I can"},{"speaker":"Kim","startTime":137.13,"endTime":141.72,"body":"never get those right. But, so 3"},{"speaker":"Kim","startTime":141.72,"endTime":146.01,"body":"and a 1/3, I didn't want to mess"},{"speaker":"Kim","startTime":141.72,"endTime":146.01,"body":"with, and so I thought, \"Let me"},{"speaker":"Kim","startTime":146.01,"endTime":150.06,"body":"think about how to get out of"},{"speaker":"Kim","startTime":146.01,"endTime":150.06,"body":"the thirds.\" So, I thought about"},{"speaker":"Kim","startTime":150.09,"endTime":157.56,"body":"scaling up, times 3. And so,"},{"speaker":"Kim","startTime":150.09,"endTime":157.56,"body":"instead of 3 and a 1/3, I made"},{"speaker":"Kim","startTime":157.56,"endTime":161.04,"body":"the problem 10 divided by 12."},{"speaker":"Pam","startTime":162.24,"endTime":163.5,"body":"Okay, how'd you get the 10."},{"speaker":"Kim","startTime":164.1,"endTime":167.31,"body":"So, 3 and a 1/3 times 3 is"},{"speaker":"Kim","startTime":164.1,"endTime":167.31,"body":"10."},{"speaker":"Pam","startTime":167.88,"endTime":169.59,"body":"You might want to spell"},{"speaker":"Pam","startTime":167.88,"endTime":169.59,"body":"that out a little bit."},{"speaker":"Kim","startTime":170.1,"endTime":177.33,"body":"3 times 3 is 9, and 1/3"},{"speaker":"Kim","startTime":170.1,"endTime":177.33,"body":"times 3 is 1. So, then 9 and 1"},{"speaker":"Kim","startTime":177.33,"endTime":178.05,"body":"is 10."},{"speaker":"Pam","startTime":178.44,"endTime":179.16,"body":"Brilliant."},{"speaker":"Kim","startTime":179.94,"endTime":183.6,"body":"So, then, that would be the"},{"speaker":"Kim","startTime":179.94,"endTime":183.6,"body":"first part of the division"},{"speaker":"Kim","startTime":183.6,"endTime":187.77,"body":"problem. And so, then, I also"},{"speaker":"Kim","startTime":183.6,"endTime":187.77,"body":"need to scale the divided by 4."},{"speaker":"Pam","startTime":187.77,"endTime":187.8,"body":"Mmhmm."},{"speaker":"Kim","startTime":190.08,"endTime":195.57,"body":"And so, that would be"},{"speaker":"Kim","startTime":190.08,"endTime":195.57,"body":"divided by 12. So, 3. So, then,"},{"speaker":"Kim","startTime":195.57,"endTime":199.23,"body":"that that gave me 10 divided by"},{"speaker":"Kim","startTime":195.57,"endTime":199.23,"body":"12. So, scaled both them up"},{"speaker":"Kim","startTime":199.23,"endTime":203.97,"body":"times 3. And then, I just have"},{"speaker":"Kim","startTime":199.23,"endTime":203.97,"body":"10 divided by 12, which is"},{"speaker":"Kim","startTime":204.03,"endTime":205.26,"body":"10/12."},{"speaker":"Pam","startTime":205.65,"endTime":206.49,"body":"Nice."},{"speaker":"Kim","startTime":206.52,"endTime":207.87,"body":"Which is equivalent to"},{"speaker":"Kim","startTime":206.52,"endTime":207.87,"body":"five-sixths."},{"speaker":"Pam","startTime":207.93,"endTime":210.12,"body":"Yeah, and let me just share"},{"speaker":"Pam","startTime":207.93,"endTime":210.12,"body":"maybe with people who are"},{"speaker":"Pam","startTime":210.12,"endTime":212.58,"body":"listening. So, I... And this"},{"speaker":"Pam","startTime":210.12,"endTime":212.58,"body":"might be what you have on your"},{"speaker":"Pam","startTime":212.58,"endTime":215.61,"body":"paper. Maybe I should have"},{"speaker":"Pam","startTime":212.58,"endTime":215.61,"body":"asked. I wrote 3 and 1/3, and"},{"speaker":"Pam","startTime":215.61,"endTime":221.04,"body":"then the fraction bar 4. So,"},{"speaker":"Pam","startTime":215.61,"endTime":221.04,"body":"visually it looks like 3 and 1/3"},{"speaker":"Pam","startTime":221.04,"endTime":225.75,"body":"over 4. So, it's kind of like a"},{"speaker":"Pam","startTime":221.04,"endTime":225.75,"body":"compound fraction, we sometimes"},{"speaker":"Pam","startTime":225.75,"endTime":230.55,"body":"call it. So, then, you said to"},{"speaker":"Pam","startTime":225.75,"endTime":230.55,"body":"yourself, you're going to find"},{"speaker":"Pam","startTime":230.55,"endTime":233.52,"body":"an equivalent fraction. So,"},{"speaker":"Pam","startTime":230.55,"endTime":233.52,"body":"then, I wrote equals. And you"},{"speaker":"Pam","startTime":233.52,"endTime":236.34,"body":"said 3 and a 1/3 times 3. And"},{"speaker":"Pam","startTime":233.52,"endTime":236.34,"body":"so, I have this like scaling"},{"speaker":"Pam","startTime":236.34,"endTime":239.73,"body":"mark. 3 and 1/3 times 3 is 10."},{"speaker":"Pam","startTime":236.34,"endTime":239.73,"body":"And then, 4 times 3, scaling"},{"speaker":"Pam","startTime":239.73,"endTime":242.43,"body":"mark, is 12. And you end up with"},{"speaker":"Pam","startTime":239.73,"endTime":242.43,"body":"a fraction ten-twelfths."},{"speaker":"Kim","startTime":242.73,"endTime":243.0,"body":"Yep."},{"speaker":"Pam","startTime":243.54,"endTime":246.33,"body":"Yeah, which is five-sixths."},{"speaker":"Pam","startTime":243.54,"endTime":246.33,"body":"And now, you have me wondering"},{"speaker":"Pam","startTime":246.33,"endTime":249.51,"body":"is a half plus a third,"},{"speaker":"Pam","startTime":246.33,"endTime":249.51,"body":"five-sixths. And now, I'm"},{"speaker":"Pam","startTime":249.51,"endTime":253.05,"body":"thinking about a clock, and I"},{"speaker":"Pam","startTime":249.51,"endTime":253.05,"body":"just thought about the minute"},{"speaker":"Pam","startTime":253.05,"endTime":256.11,"body":"hand on the sixth, and then plus"},{"speaker":"Pam","startTime":253.05,"endTime":256.11,"body":"another 20 minutes. Sure enough,"},{"speaker":"Pam","startTime":256.11,"endTime":259.14,"body":"sticks me up on the 10. And"},{"speaker":"Pam","startTime":256.11,"endTime":259.14,"body":"that's ten-twelfths, so"},{"speaker":"Pam","startTime":259.14,"endTime":262.89,"body":"five-sixth. Cool. Nice, problem."},{"speaker":"Pam","startTime":259.14,"endTime":262.89,"body":"Alright."},{"speaker":"Kim","startTime":262.89,"endTime":265.32,"body":"Yeah, it was a good"},{"speaker":"Kim","startTime":262.89,"endTime":265.32,"body":"problem. Well chosen, Pamela."},{"speaker":"Kim","startTime":266.94,"endTime":270.24,"body":"Alright. We can't wait to see"},{"speaker":"Kim","startTime":266.94,"endTime":270.24,"body":"your strategies, and I wonder if"},{"speaker":"Kim","startTime":270.24,"endTime":273.0,"body":"it was like one of ours."},{"speaker":"Kim","startTime":270.24,"endTime":273.0,"body":"Represent your thinking, take a"},{"speaker":"Kim","startTime":273.0,"endTime":276.3,"body":"picture of your work, and tell"},{"speaker":"Kim","startTime":273.0,"endTime":276.3,"body":"the world on social media. While"},{"speaker":"Kim","startTime":276.3,"endTime":278.4,"body":"you're there, check out what"},{"speaker":"Kim","startTime":276.3,"endTime":278.4,"body":"other people did and please"},{"speaker":"Kim","startTime":278.4,"endTime":279.9,"body":"comment on their thinking as"},{"speaker":"Kim","startTime":278.4,"endTime":279.9,"body":"well."},{"speaker":"Pam","startTime":280.26,"endTime":283.08,"body":"And when you do, tag me on"},{"speaker":"Pam","startTime":280.26,"endTime":283.08,"body":"Twitter at @PWHarris or"},{"speaker":"Pam","startTime":283.08,"endTime":287.28,"body":"Instagram, PamHarris_math. And"},{"speaker":"Pam","startTime":283.08,"endTime":287.28,"body":"on Facebook, look for Math is"},{"speaker":"Pam","startTime":287.31,"endTime":291.39,"body":"Figure-Out-Able and use the"},{"speaker":"Pam","startTime":287.31,"endTime":291.39,"body":"hashtag MathStratChat. And make"},{"speaker":"Pam","startTime":291.39,"endTime":293.7,"body":"sure you check out our next"},{"speaker":"Pam","startTime":291.39,"endTime":293.7,"body":"MathStratChat problem that we're"},{"speaker":"Pam","startTime":293.7,"endTime":296.76,"body":"going to post every Wednesday ad"},{"speaker":"Pam","startTime":293.7,"endTime":296.76,"body":"infinitum, as the world"},{"speaker":"Pam","startTime":296.76,"endTime":300.93,"body":"continues to spin around. You'll"},{"speaker":"Pam","startTime":296.76,"endTime":300.93,"body":"see MathStratChat problems every"},{"speaker":"Pam","startTime":300.93,"endTime":304.47,"body":"Wednesday. And then, pop back"},{"speaker":"Pam","startTime":300.93,"endTime":304.47,"body":"here to hear how we are thinking"},{"speaker":"Pam","startTime":304.47,"endTime":307.41,"body":"about the problem. We love"},{"speaker":"Pam","startTime":304.47,"endTime":307.41,"body":"having you as part of the Math"},{"speaker":"Pam","startTime":307.41,"endTime":310.14,"body":"is Figure-Out-Able movement."},{"speaker":"Pam","startTime":307.41,"endTime":310.14,"body":"Let's keep spreading the word"},{"speaker":"Pam","startTime":310.14,"endTime":311.58,"body":"that Math is Figure-Out-Able."}]}