Fractions Unit 4

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Fractions Unit 4.2A fraction is a way of representing part of a wholeor part of a group.A fraction is used to name a part of one thing or apart of a collection of things.Fraction-VocabularyNumerator-the top number in a fraction. Thenumerator tells how many equal parts aredescribed.numerator34denominatorDenominator- the bottom number in a fraction. Thedenominator tells how many equal parts in all.Parts of a Region- shade to show 3/4p. 5001

Parts of a Region- shadeto show 2/4p. 502Adding and Subtracting fractions withlike denominatorsWhen 2 or more fractions have the same denominator, we call them“like” denominators or “common” denominatorsFractions can only be added if the denominator is the same. Later onwe will learn how to add fractions with “unlike” denominators but fornow we will stick to adding factions with “like” or “common”denominators.When the denominators are the same, then all you have to do is add thenumerators. The denominators remain the same.4 2 68 8 82 3 7734 12 12 5 - 1 884 - 2 99p. 5648- 5 10 102

Mixed Numbers & Improper Fractionsp. 530Mixed Numbers- are a number that has a mixednumber and a fraction.example:324Improper Fractions- are fractions in which thenumerator is larger than the denominator.example:94You can easily go from a mixed number to animproper fraction .or an improper fraction toa mixed number.Let’s start by going from a mixed number to animproper fraction. To do this you need to usemultiplication.214 94First multiply the denominator 4 and the wholenumber 2 4x2 8 then add the denominator 1 tototal. This will give you the numerator. Thedenominator is the same as the original denominator.3

(Mixed Number & Improper Fractions continued)Directions: Turn these mixed numbers into improper fractions.313512423136613235Now we are going to make improper fractions into mixednumbers. To do this you need to use division.83 223First figure out how many times the denominator goes intothe numerator without going over. This will be your wholenumber. Your denominator will stay the same. To find outyour numerator you need to multiply your denominator by yourwhole number. Next subtract that product from the originalnumerator. Sounds confusing? Not to worry we will do lotsand lots of practicing.Directions: Turn these improper fractions into mixed numbers.647296113521431564

Common FactorsFactors-the numbers multiplied together to find aproduct. You will need to figure out common factorsto put fractions into simplest form.Directions: Give all of the factors for the followingnumbers.234567891011125

Simplest FormThe first step in finding the simplest form is to find theGCF.GCF-So how do you find LCM? First you find the factors ofboth the numerator and denominator. The one that is thelowest or smallest is the LCM.461, 2, 41, 2, .3,6Let’s Practice. Give the GCF for each of thesefractions.69915810410587109126126

(Simplest Form continued)Once you’ve figured out the GCF then you can do stepw which is to divide both the numerator and denominator bythe GCF.461, 2, 41, 2, .3,6Since the GCF is 2, thenyou need to divide thenumerator anddenominator by 22 4 26 3Let’s Practice. Find the GCF for each of thesefractions and then divide the fraction to find thesimplest form.39912510610684811124127

p. 568Adding Fractionswith Unlike DenominatorsDirections: Add or Subtract Fractions with unlikedenominators.Before you can solve these problems, you have to do themath to make the denominators the same. This will takemultiplication.1 2361 3561 2362 1823 2633 -1842 - 4398 - 210 52 - 1436 - 1828

Comparing FractionsDirections: Compare Fractions using . To do this youneed to make the denominators the same. You will usemultiplication for this.122611234132528173923362341241024136101425129

Comparing FractionsDirections: Compare Fractions using . To do this youneed to make the denominators the same. You will usemultiplication for this.122611234132528173923362341241024136101425129

Mixed Numbers & Improper Fractions Mixed Numbers- are a number that has a mixed number and a fraction. example: Improper Fractions- are fractions in which the numerator is larger than the denominator. example: You can easily go from a mixed number to an improper fraction .or an improper fraction to a mixed number. Let’s start by going from .

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