Adding And Subtracting Fractions Objective 1: Adding Or .
Adding and Subtracting FractionsObjective 1: Adding or subtracting fractions with common denominatorsWhen adding or subtracting fractions, all you need to do is add or subtract the numerators if the denominatorsare the same.Example: Add or subtract. Remember to leave all fractions in lowest terms.3 2 8 8Example: Add or subtract. Remember to leave all fractions in lowest terms.7 5 9 9Example: Add or subtract. Remember to leave all fractions in lowest terms.4 8 15 15Example: Add or subtract. Remember to leave all fractions in lowest terms.7 17 18 18Cypress College Math Department – CCMR NotesAdding and Subtracting Fractions, Page 1 of 10
Pause the video and try these problems.Add or subtract. Remember to leave all fractions in lowest terms.1)12 5 13 132)17 30 303) 4)5 7 18 1811 7 16 16Restart when you are ready to check your answers.Objective 2: Finding the Least Common DenominatorSometimes the denominators are not the same. For us to addor subtract fractions with unlike denominators, we will needto work with each fraction individually to force the twofractions to have the same size parts (denominators).We will then need to find the least common multiple of thetwo denominators. This is called the LCM. Since the LCMis located in the denominator of the fraction, the name willchange to the least common denominator (LCD).Method A: Listing the multiples of each denominator until they have the same one.List out the multiples of each denominator. You are looking for thesmallest number that is a multiple of each denominator.Cypress College Math Department – CCMR NotesAdding and Subtracting Fractions, Page 2 of 10
Example: Find the least common denominator for the pair of fractions.35and49Example: Find the LCD for the pair of fractions.11and818Cypress College Math Department – CCMR NotesAdding and Subtracting Fractions, Page 3 of 10
Method B: Finding the prime factors of each denominator and calculate the LCD from the factors list.Sometimes Method A can be quite cumbersome if the two denominators are large values. So,instead of trying to figure out all of the multiples of each number, we can list the prime factors ofeach number and create a combined list of prime factors that will be the LCD of the fractions.Example: Find the least common denominator for the pair of fractions.11and818Example: Find the least common denominator for the pair of fractions.31and1636Cypress College Math Department – CCMR NotesAdding and Subtracting Fractions, Page 4 of 10
Example: Find the least common denominator for the pair of fractions.75and1518Pause the video and try these problems.Find the least common denominator for each pair of fractions.1)71and8162)24and21353)11and1824Cypress College Math Department – CCMR NotesAdding and Subtracting Fractions, Page 5 of 10
4)31and86Restart when you are ready to check your answers.Objective 3: Adding and subtracting fractions with unlike denominators.Now that you can find the LCD of two fractions with unlike denominators, let’s see how finding the LCDaffects the fractions.Example: Add or subtract.3 5 4 24Example: Add or subtract.2 5 9 12Cypress College Math Department – CCMR NotesAdding and Subtracting Fractions, Page 6 of 10
Example: Add or subtract.3 3 5 20Example: Add or subtract.5 2 12 21Cypress College Math Department – CCMR NotesAdding and Subtracting Fractions, Page 7 of 10
Example:Add or subtract.5 3 6 8Add or subtract. Leave all answers in lowest terms.1)2 1 9 27Cypress College Math Department – CCMR NotesAdding and Subtracting Fractions, Page 8 of 10
2)1 7 24 183) 3 9 20 32Cypress College Math Department – CCMR NotesAdding and Subtracting Fractions, Page 9 of 10
4)5 3 12 85)11 1 16 24Restart when you are ready to check your answers.Cypress College Math Department – CCMR NotesAdding and Subtracting Fractions, Page 10 of 10
Adding and Subtracting Fractions Objective 1: Adding or subtracting fractions with common denominators When adding or subtracting fractions, all you need to do is add or subtract the numerators if the denominators are the same. Example: Add or subtract. Remember to leave all fractions in lowe
Adding Fractions with Unlike Denominators . 32 Adding Mixed Numbers with Like Denominators .34 Adding Mixed Numbers with Unlike Denominators .36 Subtracting Fractions with Like Denominators .38 Subtracting Fractions with Unlike Denominators .40 Subtracting Fractions from Whole Numbers .
Fractions Prerequisite Skill: 3, 4, 5 Prior Math-U-See levels Epsilon Adding Fractions (Lessons 5, 8) Subtracting Fractions (Lesson 5) Multiplying Fractions (Lesson 9) Dividing Fractions (Lesson 10) Simplifying Fractions (Lessons 12, 13) Recording Mixed Numbers as Improper Fractions (Lesson 15) Mixed Numbers (Lessons 17-25)
NCTM Illuminations Fraction Models Desmos Shaded Rectangles Polygraph Adding Fractions 2 Tap Into Teen Minds Gimme A Break Task 1 - Adding Simple Fractions Gimme A Break Task 2 - Adding Fractions Gimme A Break Task 3 - Adding and Subtracting Fractions. Grade 7, Unit 1, Activity 6: OERB ID: ELO1471850 .File Size: 249KB
Learning Goals/Objectives: Students will learn the first step to adding and subtracting fractions by learning to create equivalent fractions with the same denominator. Common Core Standards: 5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers and fractions greater t
Adding and Subtracting Fractions Topic 10: Adding and Subtracting Mixed Numbers Topic 13: Units of Measure 5.NF.A.1 subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For
Adding & Subtracting fractions 28-30 Multiplying Fractions 31-33 Dividing Fractions 34-37 Converting fractions to decimals 38-40 Using your calculator to add, subtract, multiply, divide, reduce fractions and to change fractions to decimals 41-42 DECIMALS 43 Comparing Decimals to fractions 44-46 Reading & Writing Decimals 47-49
Adding and Subtracting Rational Expressions Return to Table of Contents Slide 51 / 179 Just as in multiplication and division, when adding or subtracting rationals, use the same rules as basic fractions. Recall: When adding and subtracting fractions, you MUST use common denominators. Adding and
tourism using existing information due to the subjective scope of the sector and a resultant lack of comparable data. However, a small number of studies which include aspects of outdoor activity tourism as defined for this study, as well as wider tourism research offer an insight into the market. These are discussed below. An economic impact study of adventure tourism (including gorge walking .
