{"product_id":"fractions-for-dummies-isbn-9781394296873","title":"Fractions For Dummies","description":"\u003cp\u003e\u003cb\u003eAn easy, straightforward, and fun guide for learning fractions and its counterparts\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003e\u003ci\u003eFractions For Dummies\u003c\/i\u003e is the perfect strategy guide for both understanding and using one of math's most common (and most challenging) topic areas. You'll explore current solving strategies for fraction-related problems, and you'll also discover how to solve problems involving fractions' closely related cousins, decimals and percentages. Dive deep into the basics of these topics before moving on to more advanced uses, such as word problems, with the help of author and experienced math teacher Mark Zegarelli. \u003c\/p\u003e\u003cp\u003eThis straightforward and intuitive book also includes: \u003c\/p\u003e\u003cul\u003e \u003cli\u003eTechniques for working with mixed numbers (numbers that include whole amounts \u003ci\u003eand\u003c\/i\u003e fractions) and more\u003c\/li\u003e \u003cli\u003eWays to add, subtract, multiply, and divide fractions with whole numbers and with each other\u003c\/li\u003e \u003cli\u003eStrategies for helping and supporting the young student in your life who's struggling with fractions, decimals, and\/or percentages\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eIt's time you showed these math areas who's boss. \u003ci\u003eFractions For Dummies\u003c\/i\u003e shows you just how easy fractions and the like can be! \u003c\/p\u003e\u003cp\u003e\u003cb\u003eIntroduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAbout This Book 1\u003c\/p\u003e \u003cp\u003eFoolish Assumptions 2\u003c\/p\u003e \u003cp\u003eIcons Used in This Book 3\u003c\/p\u003e \u003cp\u003eBeyond the Book 3\u003c\/p\u003e \u003cp\u003eWhere to Go from Here 4\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 1: An Overview of Fractions, Decimals, and Percents 5\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1: What Are Fractions, Decimals, and Percents? 7\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTaking a First Look at Fractions 8\u003c\/p\u003e \u003cp\u003eUnderstanding how fractions work 8\u003c\/p\u003e \u003cp\u003eMaking sense of equivalent fractions 9\u003c\/p\u003e \u003cp\u003eUnderstanding improper fractions 10\u003c\/p\u003e \u003cp\u003eSeeing how improper fractions and mixed numbers relate 10\u003c\/p\u003e \u003cp\u003eSeeing Why Decimals Are So User-Friendly 11\u003c\/p\u003e \u003cp\u003eUnderstanding decimals that have one decimal place 12\u003c\/p\u003e \u003cp\u003eUnderstanding decimals that have two decimal places 13\u003c\/p\u003e \u003cp\u003eUnderstanding fraction-decimal equivalence 14\u003c\/p\u003e \u003cp\u003ePutting Percents into Perspective 15\u003c\/p\u003e \u003cp\u003eMaking sense of percents 16\u003c\/p\u003e \u003cp\u003eConverting percents to decimals and fractions 17\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2: Boosting Basic Skills 19\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eKnowing Basic Math Words 20\u003c\/p\u003e \u003cp\u003eKnowing a number from a numeral 20\u003c\/p\u003e \u003cp\u003eGetting your digits sorted 20\u003c\/p\u003e \u003cp\u003eFinding values in numbers 21\u003c\/p\u003e \u003cp\u003eCounting on integers 21\u003c\/p\u003e \u003cp\u003eExamining mathematical operations 22\u003c\/p\u003e \u003cp\u003eTalking the talk for the basic four operations 23\u003c\/p\u003e \u003cp\u003eKnowing the Basics of Number Sets 24\u003c\/p\u003e \u003cp\u003eDescribing sets of numbers 24\u003c\/p\u003e \u003cp\u003eIntegers 25\u003c\/p\u003e \u003cp\u003eRational numbers 25\u003c\/p\u003e \u003cp\u003eIrrational numbers 26\u003c\/p\u003e \u003cp\u003eReal numbers 26\u003c\/p\u003e \u003cp\u003eReviewing Place Value in Whole Numbers 27\u003c\/p\u003e \u003cp\u003ePutting values in their place 28\u003c\/p\u003e \u003cp\u003eLooking at leading and placeholding zeros 28\u003c\/p\u003e \u003cp\u003eMaking Sense of Integer Division 29\u003c\/p\u003e \u003cp\u003eGetting a remainder with division 30\u003c\/p\u003e \u003cp\u003eFollowing the cycle of remainders 30\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3: Understanding Factors and Multiples 33\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eUnderstanding Divisibility 34\u003c\/p\u003e \u003cp\u003eMaking sense of divisibility 34\u003c\/p\u003e \u003cp\u003eKnowing some divisibility tricks 35\u003c\/p\u003e \u003cp\u003eFinding Factors and Multiples 40\u003c\/p\u003e \u003cp\u003eIdentifying factors 40\u003c\/p\u003e \u003cp\u003eMaking sense of multiples 47\u003c\/p\u003e \u003cp\u003eRelating factors and multiples 47\u003c\/p\u003e \u003cp\u003eGoing Big with the Greatest Common Factor 48\u003c\/p\u003e \u003cp\u003eFinding common factors 48\u003c\/p\u003e \u003cp\u003eIdentifying the GCF 49\u003c\/p\u003e \u003cp\u003eTricks to help you find the GCF 50\u003c\/p\u003e \u003cp\u003ePlaying Small with the Least Common Multiple 51\u003c\/p\u003e \u003cp\u003eFinding the LCM 51\u003c\/p\u003e \u003cp\u003eTricks for calculating the LCM 51\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 2: Fractions 55\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4: Figuring Fractions 57\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eVisualizing Fractions 58\u003c\/p\u003e \u003cp\u003eUsing divided circles to represent parts of the whole 58\u003c\/p\u003e \u003cp\u003eWorking with fractions on the number line 60\u003c\/p\u003e \u003cp\u003eUnderstanding Basic Fraction Terminology 62\u003c\/p\u003e \u003cp\u003eNumerators and denominators 62\u003c\/p\u003e \u003cp\u003eProper and improper fractions 62\u003c\/p\u003e \u003cp\u003eRepresenting whole numbers as fractions 63\u003c\/p\u003e \u003cp\u003eUnderstanding why a zero denominator is undefined 63\u003c\/p\u003e \u003cp\u003eFractions and their reciprocals 64\u003c\/p\u003e \u003cp\u003eUnderstanding Equivalent Fractions 65\u003c\/p\u003e \u003cp\u003eUsing models to understand equivalent fractions 65\u003c\/p\u003e \u003cp\u003eChanging a fraction to an equivalent form 68\u003c\/p\u003e \u003cp\u003eWorking with Improper Fractions and Mixed Numbers 73\u003c\/p\u003e \u003cp\u003eFiguring out improper fractions 73\u003c\/p\u003e \u003cp\u003eMixing it up with mixed numbers 75\u003c\/p\u003e \u003cp\u003eChanging mixed numbers to improper fractions by using Popcorn 78\u003c\/p\u003e \u003cp\u003eChanging improper fractions to mixed numbers 79\u003c\/p\u003e \u003cp\u003eComparing Fractions’ Values 82\u003c\/p\u003e \u003cp\u003eComparing fractions that have the same denominator 82\u003c\/p\u003e \u003cp\u003eComparing fractions by finding a common denominator 83\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5: Adding and Subtracting Fractions 89\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAdding and Subtracting Fractions that Have a Common Denominator 90\u003c\/p\u003e \u003cp\u003eAdding fractions that have a common denominator 90\u003c\/p\u003e \u003cp\u003eSubtracting fractions that have a common denominator 94\u003c\/p\u003e \u003cp\u003eAdding and subtracting three or more fractions 96\u003c\/p\u003e \u003cp\u003eAdding and Subtracting Fractions that Have Different Denominators 97\u003c\/p\u003e \u003cp\u003eAdding and subtracting two fractions by increasing terms 98\u003c\/p\u003e \u003cp\u003eAdding and subtracting two fractions by cross-multiplying 101\u003c\/p\u003e \u003cp\u003eSolving Bigger Problems That Have Different Denominators 104\u003c\/p\u003e \u003cp\u003eBreaking a big problem into steps 104\u003c\/p\u003e \u003cp\u003eFinding a common denominator for more than two fractions 105\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6: Multiplying and Dividing Fractions 107\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eMultiplying Fractions 107\u003c\/p\u003e \u003cp\u003eMultiplying a pair of fractions 108\u003c\/p\u003e \u003cp\u003eMultiplying more than two fractions 108\u003c\/p\u003e \u003cp\u003eCanceling factors to make multiplication easier 109\u003c\/p\u003e \u003cp\u003eDividing Fractions 112\u003c\/p\u003e \u003cp\u003eUsing Keep-Change-Flip to turn division into multiplication 112\u003c\/p\u003e \u003cp\u003eCanceling factors after Keep-Change-Flip 113\u003c\/p\u003e \u003cp\u003eConverting results of division from improper fractions to mixed numbers 114\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7: Working with Mixed Numbers 117\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAdding Mixed Numbers 118\u003c\/p\u003e \u003cp\u003eAdding mixed numbers that have a common denominator 118\u003c\/p\u003e \u003cp\u003eAdding a pair of mixed numbers that have different denominators 120\u003c\/p\u003e \u003cp\u003eAdding a pair of mixed numbers when carrying is required 123\u003c\/p\u003e \u003cp\u003eSubtracting Mixed Numbers 126\u003c\/p\u003e \u003cp\u003eSubtracting mixed numbers that have a common denominator 126\u003c\/p\u003e \u003cp\u003eSubtracting a pair of mixed numbers that have different denominators 128\u003c\/p\u003e \u003cp\u003eSubtracting mixed numbers when borrowing is required 130\u003c\/p\u003e \u003cp\u003eMultiplying Mixed Numbers 134\u003c\/p\u003e \u003cp\u003eMultiplying a pair of mixed numbers 135\u003c\/p\u003e \u003cp\u003eCanceling factors to make multiplying mixed numbers easier 135\u003c\/p\u003e \u003cp\u003eDividing Mixed Numbers 136\u003c\/p\u003e \u003cp\u003eDividing a pair of mixed numbers 137\u003c\/p\u003e \u003cp\u003eCanceling factors to make dividing mixed numbers easier 138\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8: Word Problems with Fractions 141\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSolving Word Problems by Adding and Subtracting Fractions 142\u003c\/p\u003e \u003cp\u003ePutting the pieces together: Adding fractions 142\u003c\/p\u003e \u003cp\u003eFinding the difference: Subtracting fractions 144\u003c\/p\u003e \u003cp\u003eFiguring out what’s left over 146\u003c\/p\u003e \u003cp\u003eMultiplying Fractions to Solve Word Problems 147\u003c\/p\u003e \u003cp\u003eMultiplying a fraction by a whole number 147\u003c\/p\u003e \u003cp\u003eMultiplying a pair of fractions 148\u003c\/p\u003e \u003cp\u003eUsing multiplication to translate the word of 149\u003c\/p\u003e \u003cp\u003eHandling problems that have multiple steps, including multiplication 150\u003c\/p\u003e \u003cp\u003eSolving Word Problems by Dividing Fractions 151\u003c\/p\u003e \u003cp\u003eDividing a fraction by a whole number 151\u003c\/p\u003e \u003cp\u003eDividing a fraction by a fraction 152\u003c\/p\u003e \u003cp\u003eSolving Word Problems by Using Ratios 153\u003c\/p\u003e \u003cp\u003eRatios that have two values 154\u003c\/p\u003e \u003cp\u003eRatios that have more than two values 155\u003c\/p\u003e \u003cp\u003eRatios that include the total value 156\u003c\/p\u003e \u003cp\u003eUsing Proportional Equations to Solve Word Problems 157\u003c\/p\u003e \u003cp\u003eBuilding proportional equations 157\u003c\/p\u003e \u003cp\u003eUsing the total value in a proportional equation 158\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 3: Decimals 165\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 9: Deciphering Decimals 167\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eMaking Cents of Decimals by Using Money 168\u003c\/p\u003e \u003cp\u003eUnderstanding Decimals by Using Visual Aids 169\u003c\/p\u003e \u003cp\u003eSeeing decimals as divided circles 169\u003c\/p\u003e \u003cp\u003eWorking with decimals on the number line 170\u003c\/p\u003e \u003cp\u003eSeeing the Value in Decimal Place Value 170\u003c\/p\u003e \u003cp\u003eMultiplying and Dividing by Moving the Decimal Point 172\u003c\/p\u003e \u003cp\u003eMultiplying decimals by 10, 100, 1,000, and beyond 173\u003c\/p\u003e \u003cp\u003eDividing decimals by 10, 100, 1,000, and more 173\u003c\/p\u003e \u003cp\u003eConverting Between Decimals and Fractions 174\u003c\/p\u003e \u003cp\u003eWorking with common decimal-fraction conversions 174\u003c\/p\u003e \u003cp\u003eChanging decimals less than 1 to fractions 175\u003c\/p\u003e \u003cp\u003eChanging decimals greater than 1 to fractions 177\u003c\/p\u003e \u003cp\u003eChanging a fraction to a terminating decimal 178\u003c\/p\u003e \u003cp\u003eChanging a fraction to a repeating decimal 179\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 10: Applying the Basic Four Operations to Decimals 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAdding Decimals 183\u003c\/p\u003e \u003cp\u003eSubtracting Decimals 185\u003c\/p\u003e \u003cp\u003eMultiplying Decimals 188\u003c\/p\u003e \u003cp\u003eDividing Decimals 190\u003c\/p\u003e \u003cp\u003eAdding trailing zeros when needed 191\u003c\/p\u003e \u003cp\u003eDealing with repeating decimal quotients 193\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 11: Word Problems with Decimals 197\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSolving Word Problems by Adding and Subtracting Decimals 198\u003c\/p\u003e \u003cp\u003eAdding things up with decimals 198\u003c\/p\u003e \u003cp\u003eUsing decimals to find the difference 198\u003c\/p\u003e \u003cp\u003eCalculating what’s left over with decimals 199\u003c\/p\u003e \u003cp\u003eCombining addition and subtraction to solve decimal word problems 199\u003c\/p\u003e \u003cp\u003eMultiplying Decimals to Solve Word Problems 201\u003c\/p\u003e \u003cp\u003eMultiplying by 10 and powers of 10 201\u003c\/p\u003e \u003cp\u003eMultiplying by other numbers 202\u003c\/p\u003e \u003cp\u003eMultiplying decimals to find area 202\u003c\/p\u003e \u003cp\u003eSolving multi-step word problems that involve decimal multiplication 203\u003c\/p\u003e \u003cp\u003eSolving Word Problems that Involve Decimal Division 204\u003c\/p\u003e \u003cp\u003eDividing by 10 and powers of 10 205\u003c\/p\u003e \u003cp\u003eDividing by other numbers 205\u003c\/p\u003e \u003cp\u003eDividing decimals by other decimals 206\u003c\/p\u003e \u003cp\u003eDividing decimals to solve area problems 206\u003c\/p\u003e \u003cp\u003eSolving multi-step word problems that involve decimal division 207\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 4: Percents 211\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 12: Probing Percents 213\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eUnderstanding Percentages 214\u003c\/p\u003e \u003cp\u003eCalculating Common Percents in Your Head 216\u003c\/p\u003e \u003cp\u003eCalculating 100%, 200%, and 50% 216\u003c\/p\u003e \u003cp\u003eCalculating 10%, 20%, and 5% 216\u003c\/p\u003e \u003cp\u003eCalculating 25% and 75% 217\u003c\/p\u003e \u003cp\u003eSwitching Around Numbers to Calculate Percents 218\u003c\/p\u003e \u003cp\u003eChanging Percents to Decimals, and Vice Versa 219\u003c\/p\u003e \u003cp\u003eConverting decimals to percents 219\u003c\/p\u003e \u003cp\u003eConverting percents to decimals 220\u003c\/p\u003e \u003cp\u003eConverting Between Percents and Fractions 221\u003c\/p\u003e \u003cp\u003eChanging fractions to percents 221\u003c\/p\u003e \u003cp\u003eChanging percents to fractions 222\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 13: Solving Percentage Problems 227\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eCalculating Percents 228\u003c\/p\u003e \u003cp\u003eMeeting Three Types of Percentage Problems 228\u003c\/p\u003e \u003cp\u003eSolving Percentage Problems by Building Equations 230\u003c\/p\u003e \u003cp\u003eUsing an equation to find the starting number 230\u003c\/p\u003e \u003cp\u003eUsing an equation to find the percentage value 232\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 14: Word Problems with Percents 235\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSolving Straightforward Percentage Word Problems 236\u003c\/p\u003e \u003cp\u003eSolving More Difficult Percentage Word Problems 237\u003c\/p\u003e \u003cp\u003eFinding the starting value 237\u003c\/p\u003e \u003cp\u003eCalculating the percentage value 238\u003c\/p\u003e \u003cp\u003eWorking Simple Problems That Involve Percent Increase and Decrease 239\u003c\/p\u003e \u003cp\u003eCalculating percent increase 240\u003c\/p\u003e \u003cp\u003eCalculating percent decrease 240\u003c\/p\u003e \u003cp\u003eSolving Tricky Percent Increase and Decrease Word Problems 242\u003c\/p\u003e \u003cp\u003eFinding the starting value 242\u003c\/p\u003e \u003cp\u003eFinding the percentage value 244\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 5: the Part of Tens 249\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 15: Ten Important Points for Working with Fractions 251\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSimplifying Fractions 251\u003c\/p\u003e \u003cp\u003eIncreasing the Terms of Fractions 252\u003c\/p\u003e \u003cp\u003eChanging Mixed Numbers to Improper Fractions 253\u003c\/p\u003e \u003cp\u003eKnowing When to Find a Common Denominator 254\u003c\/p\u003e \u003cp\u003eKnowing When You Don’t Need a Common Denominator 255\u003c\/p\u003e \u003cp\u003eCanceling Factors Before Multiplying Fractions 255\u003c\/p\u003e \u003cp\u003eUsing Keep-Change-Flip Only When Dividing Fractions 256\u003c\/p\u003e \u003cp\u003eUsing Keep-Change-Flip Before Canceling Factors 257\u003c\/p\u003e \u003cp\u003eWhen to Change Mixed Numbers to Improper Fractions 257\u003c\/p\u003e \u003cp\u003eWhen Not to Change Mixed Numbers to Improper Fractions 258\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 16: Ten Real-World Uses for Fractions 261\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eCooking and Baking 261\u003c\/p\u003e \u003cp\u003eConstruction and Building 262\u003c\/p\u003e \u003cp\u003eMoney and Finance 263\u003c\/p\u003e \u003cp\u003eSports 264\u003c\/p\u003e \u003cp\u003eTelling Time 264\u003c\/p\u003e \u003cp\u003eMusic and Visual Art 265\u003c\/p\u003e \u003cp\u003eGambling 265\u003c\/p\u003e \u003cp\u003eNursing and Medicine 266\u003c\/p\u003e \u003cp\u003eHealth and Fitness 266\u003c\/p\u003e \u003cp\u003eTravel and Fuel Efficiency 267\u003c\/p\u003e \u003cp\u003eIndex 269\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eMark Zegarelli\u003c\/b\u003e is a math teacher and tutor. He holds degrees in Mathematics and English from Rutgers University and is the author of several math and puzzle books, including \u003ci\u003eBasic Math \u0026amp; Pre-Algebra For Dummies, Basic Math \u0026amp; Pre-Algebra Workbook For Dummies,\u003c\/i\u003e and \u003ci\u003eLogic For Dummies.\u003c\/i\u003e   \u003c\/p\u003e\u003cp\u003e\u003cb\u003eGet the whole story on fractions\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003eFractions are one of the toughest concepts to master for young mathematicians. \u003ci\u003eFractions For Dummies\u003c\/i\u003e makes it easier, with clear explanations, step-by-step solutions, and plenty of example problems—including word problems and tips on how to solve them. You’ll also explore the world of decimals and percentages, and you’ll learn how all these concepts are related. Students who understand fractions can cook, budget, tip at restaurants, and succeed in their future math learning. 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