In this lesson by Eric Buffington, learn how to solve algebraic equations that involve fractions. Whether you need to add, subtract, multiply, or divide, the process is just a combination of basic math skills. Get started with a few practice problems. As a bonus, you’ll learn about the property of equality and improve your understanding of equations.

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Is there a universal morality? And if so, is it determined by a higher god or gods? Professor Massimmo Pigliucci of Plato Footnote gives you Plato's perspective by introducing you to the story of Euthyphro's dilemma. Do the gods determine what is good? Or do they simply recognize goodness? This moral question first was posed thousands of years ago, but debate still rages today.

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Want to compare, add, or subtract fractions? To complete any of these operations, you need to find a common denominator. In this quick and easy math lesson by Eric Buffington, learn how to find the least common multiple (LCM) and put two fractions on a level playing field. Finally, test your skills with several practice problems.

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In the anarchic world of international relations, how can we predict and explain outcomes? In this lesson, William Spaniel applies game theory, a methodology created to study economic interdependence, to political science. With simple mathematical models, you too can turn assumptions into predictions of action in global politics.

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Keep your keys chained up with the threat of mutually assured destruction. Goofy scientist Myles Power shows off his radioactive keychain, and along the way explains how gaseous tritium, an isotope of hydrogen used to improve the explosive power of nuclear bombs, can serve as a light source through the power of radioluminscence. Warning: do not crack, swallow, or inhale!

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Everyone loves having choices in life. In this lesson, learn two methods for solving equivalent fractions with variables and choose the method you like best! After you pick your favorite method, Mr. Buffington provides a few practice problems so that you can cement your knowledge of this important skill.

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You already know how to multiply fractions; what about division? In this basic math lesson, Mr. Buffington shows you a quick trick with reciprocals to help you divide fractions without a calculator. You’ll also work with negative fractions to practice your understanding of operators and their effect on a number’s positive or negative value.

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Chili peppers often appear in salsas and other dishes, and add a heat that you might love or hate. But do you know why chili peppers are hot? After all, they are a fruit—what could be the evolutionary benefit of making someone blush and sweat, or setting their heart racing? In this chemistry lesson, learn about the varying heat levels of peppers, the chemical reactions behind the hot and painful sensations they produce, and why high levels of heat can mean protection for a pepper plant.

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Can war be mutually beneficial? Because the costs and benefits of war can be complex and dependent on the environment, you might think that a simple example couldn't hold the answers to cost-benefit analyses used in real situations. Think again: This lesson by William Spaniel provides a no-frills, theoretical example involving Colombia, Venezuela, and $80 billion worth of oil that confirms war inefficiency through simple mathematics.

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Adding and Subtracting Fractions is the most difficult of the operations. In this lesson we go over, in a visual way, the basics of adding or subtracting fractions, then practice practice practice.

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Science clearly progresses. All the time, new discoveries are made, advancements in medicine are discovered, and theories are refined. But what does philosophy achieve? When asked about philosophers do you think of wise long-bearded men who sit and talk in circles, never reaching any conclusions or useful agreements? While philosophy may not answer the same questions that science does, it doesn’t aim to. So learn what philosophy has to offer, and what progress in the field actually achieves.

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You want to play golf, but your friend wants go surfing, and you'd both rather be together than not. It is in your best interest to make the same decision, but you have a few options, and you have to decide without knowing your friend's decision. Learn how to run a mixed strategy algorithm to determine if there is a mixed strategy equilibria. Once you can calculate the payoffs for a mixed strategy, you can make an educated decision and choose the option with the highest probability of success.

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Never struggle with multiplying fractions again. In this quick and easy math lesson, Eric Buffington explains how to multiply several different kinds of fractions and get a simplified answer by reducing to lowest terms. You’ll also learn how to work with variables and negative fractions and cement your knowledge with several practice problems.

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How can you win when playing Rock, Paper, Scissors? Not with a pure strategy, that’s for sure! This lesson from William Spaniel's Game Theory 101 series teaches you the theory behind this classic game. Do the math and check the payoffs to discover why you just can't beat randomness. Bummer, right? Learn about cycling arguments and why equal payoffs mean you can't easily pin down even a mixed strategy Nash equilibrium.

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In part two of a three-part series, Eric Buffington breaks down several practice problems for adding and subtracting fractions and reviews reducing fractions to lowest terms. Whether you have never worked with fractions before or you want to brush up on old skills, this lesson has got you covered. Note: you’ll need to know how to reduce fractions to lowest terms and find the lowest common denominator.

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You’ve already learned how to add and subtract fractions; but can you apply your skills to word problems? This lesson, the final part of a three-part series, breaks down three word problems that require you to find the least common multiple (LCM), add or subtract fractions, and reduce the answer to lowest terms. Each step is clearly explained and demonstrated so that you can solve similar questions on your own.

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Have you ever struggled to know what gets done first in a math problem? This lesson outlines the correct order of operations, and many of the common challenges and mistakes people make when trying to solve math problems. Tackle your next math problem with the right strategy - and you'll have an easy time knowing when to add, subtract, multiply, and divide for the correct answer.

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The conclusion set out in "War's Inefficiency Puzzle" was that war is inefficient; this was proven using a theoretical example involving Colombia, Venezuela, and $80 billion worth of oil. However, what if we want a purer mathematical model with which to draw conclusions? This lesson from William Spaniel demonstrates how to create an algebraic model of war, which reinforces the conclusion that war is inefficient.

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Do you know how to solve for outcomes in a two-player game, where there can only be one winner, and only one loser? In this lesson on mixed strategy Nash equilibrium from his series on game theory, William Spaniel explains how to solve a game with diametrically opposed interests (like soccer or football) when no pure strategy Nash equilibria exist.

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