Expected values for a game of chance

Learning Objectives Find a common denominator for two fractions with unlike denominators. Convert fractions into equivalent fractions with a common denominator. Add two fractions with unlike denominators to find a total value in a game scenario. Subtract two fractions with unlike denominators to find a remaining value in a game scenario. Solve word problems about simple games of chance using fraction addition and subtraction. Interpret the sum or difference of fractions as a total 'gain' or 'what's left' in a game. Ever play a game where you win part of a prize? 🎲 If you won 1/2 of a chocolate bar and then 1/3 of another, how much would you have in total? In this lesson, we will learn how to add and subtract fractions that have different bottom num...

TermDefinitionExample Unlike DenominatorsWhen two or more fractions have different bottom numbers. You can't add or subtract them until the denominators are the same.The fractions 1/3 and 1/4 have unlike denominators (3 and 4). Common DenominatorA number that is a multiple of the denominators of two or more fractions. It's a bottom number that both fractions can share.For 1/2 and 1/3, a common denominator is 6, because both 2 and 3 can multiply to get 6. Equivalent FractionFractions that have different numbers but represent the same value. You create them by multiplying the numerator and denominator by the same number.1/2 is equivalent to 2/4, 3/6, and 4/8. Expected Value (in our game)For our games, this will mean the total fractional amount you can expect to have after all the...

Finding a Common Denominator List multiples of each denominator. The first multiple they have in common is the Least Common Denominator (LCD). Use this as the first step before adding or subtracting fractions with different denominators. For a/b and c/d, find the least common multiple of b and d. Formula for Adding Unlike Fractions a/b + c/d = (a * d)/(b * d) + (c * b)/(d * b) To add fractions with different denominators, first find a common denominator. Then, turn each fraction into an equivalent fraction with that new denominator. Finally, add the new numerators and keep the common denominator. Formula for Subtracting Unlike Fractions a/b - c/d = (a * d)/(b * d) - (c * b)/(d * b) To subtract fractions with different denominators, follow the same steps as addition....