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Lesson 6.6NameAdd and Subtract blended NumbersEssential concern How can you add and subtract blended numbers withunlike denominators?Number and Operations—Fractions—5.NF.A.1 likewise 5.NF.A.2MATHEMATICAL PRACTICESMP1, MP2, MP6UnlockUnlock thethe ProblemProblemDenise blended 1 4_5 ounces the blue repaint with12 __10 ounces that yellow paint. How manyounces of repaint did Denise mix?• What operation need to you usage to solvethe problem?• carry out the fractions have actually the exact same denominator?1__ + 2___Add. 14510To discover the sum of blended numbers v unlike denominators, you canuse a usual denominator.STEP 1Estimate the sum. ___STEP 2Find a typical denominator. Use thecommon denominator to write equivalentfractions with like denominators.© houghton Mifflin Harcourt Publishing agency • photo Credits: (l) ©Andrew Paterson/AlamySTEP 3Add the fractions. Then include the wholenumbers. Compose the prize in easiest form.So, Denise combined _ ounces the paint.1.MATHEMATICALPRACTICE__ =1451 = ++ 2 ___10MathTalkMATHEMATICAL practices 2Connect Symbols and WordsDid you use the leastcommon denominator?Explain.1 advice Reasonableness describe how you understand whether your answer is reasonable.2. What other typical denominator can you have actually used?Chapter 6383Example5 − 23__Subtract. 4 __64You can also use a typical denominator to discover the distinction ofmixed numbers through unlike denominators.STEP 1Estimate the difference. __STEP 2Find a typical denominator. Usage thecommon denominator to compose equivalentfractions with prefer denominators.STEP 33.__ =456__ = –– 234Subtract the fractions. Subtract the wholenumbers. Compose the prize in simplest form.MATHEMATICALPRACTICE1 evaluate Reasonableness define how you recognize whetheryour price is reasonable.SharehhowShare andand ShowShMATHMBOARDB1. Use a typical denominator to write equivalent fractions with likedenominators and then uncover the sum. Create your answer in simplest form.__ =725__ = ++ 43Find the sum. Compose your prize in most basic form.32. 2 3_4 + 3 __103843. 5 3_4 + 1 1_334. 3 4_ + 2 __510© houghton Mifflin Harcourt publishing Company4NameFind the difference. Compose your prize in simplest form.5. 9 5_ − 2 1_66. 10 5_ − 9 1_397. 7 _2 − 3 1_63MathTalkOnOn YourYour OwnOwnFind the sum or difference. Write your answer in easiest form.3 + 22_8. 1 __59. 8 1_ + 7 3_11. 12 3_4 − 6 1_612. 2 5_ − 1 1_41066MATHEMATICAL techniques 6Explain why you need towrite identical fractionswith typical denominatorsto include 4 5_6 and 1 1_8 .10. 2 1_ + 2 1_8237 − 5 1_13. 14 __4812Practice: Copy and also Solve find the sum or difference. Create youranswer in easiest form.15. 8 1_ + 6 3_16. 2 1_ + 4 5_17. 3 5_ + __1218. 3 2_ − 1 1_19. 5 6_7 − 1__2320. 2 7_ − 1_27 − 12_21. 4 __12322.© house Mifflin Harcourt publishing Company55 + 41_14. 1 __23.66256988129DEEPERDakota makes a salad dressing by combining 6 1_3 fluid ounces that oiland 2 3_8 fluid ounces the vinegar in a jar. She climate pours 2 1_4 liquid ounces that thedressing onto she salad. How much dressing continues to be in the jar?DEEPERThis week, Maddie functioned 2 1_2 hrs on Monday, 2 2_3 hrs onTuesday, and also 3 1_4 hours on Wednesday. How many an ext hours will certainly Maddieneed to job-related this week to make her goal of 10 1_2 hrs a week?Chapter 6 • class 6 385MATHEMATICAL practices .0%&-t3&\"40/tM\",&4&/4&OqnakdlRnkuhmf¤


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ookhb`shnmrUse the table to solve 24–25.24.2 reason Quantitatively Gavin plans to mix a batch3 ounces of paintof Tangerine paint. That expects to have actually a complete of 5 __MATHEMATICALPRACTICE10after the mixes the amounts of red and yellow. Define how girlfriend cantell if Gavin’s expectation is reasonable.Paint Gavin Uses(in ounces)Red25.SMARTERGavin mixes the quantity of redfrom one shade of repaint with the lot ofyellow from a different shade the paint. That mixesthe batch so he will have actually the biggest possibleamount that paint. What amounts of red and also yellowfrom i beg your pardon shades are offered in the mixture?Explain her answer.SMARTER26.YellowShade1SunriseOrange3Tangerine5Mango285343 1092855656Martin won an initial place in the 100-meter dash v a time of237__14 ___100 seconds. Samuel come in 2nd place through a time the 15 10 seconds.26a.A usual denominator the the mixednumbers is 100.TrueFalse26b.To uncover the difference in between therunners’ times, Samuel’s time needsto be rewritten.TrueFalse26c.Samuel’s time written v a denominator70of 100 is 15 ___100 .TrueFalseTrueFalse__ second.26d. Martin win Samuel by 2125386© house turn Mifflin Harcourt posting CompanyFor 26a–26d, choose True or False for each statement.Practice and also HomeworkNameLesson 6.6Add and also Subtract combined NumbersCOMMON main point STANDARD—5.NF.A.1Use identical fractions together a strategy come addand subtract fractions.Find the amount or difference. Write your answer in most basic form.1. 31_ − 11_22. 21_ + 13_53_3153___−112−1__2834. 51_ + 61_361051032__10__5. 2 1_ + 12_43. 41_ + 21_4____ − 22_6. 5 17518__3____7. 6 3_ − 15_48____8. 53_ − 21_75__ProblemProblem SolvingSolving9. Jacobi to buy 7 1_2 pounds the meatballs. Hedecided to chef 1 1_4 pounds and freeze the rest.How numerous pounds did he freeze?© houghton Mifflin Harcourt posting Company_______11.WRITE10. Jill to walk 8 1_8 miles to a park and also then7 2_5 miles home. How plenty of miles didshe walk?_______Math create your own story trouble using mixed numbers.Show the solution.Chapter 6387Lesson check (5.NF.A.1)1. Ming has actually a goal to jog 4 1_2 miles every day. On9 miles. By how much didMonday she jogged 5 __16she exceed her goal for the day?2. At the deli, Ricardo notified 3 1_5 pounds ofcheddar cheese and 2 3_4 pounds that mozzarellacheese. How many pounds of cheese didhe order all together?3. The theater has 175 seats. There space 7 seats ineach row. How countless rows room there?4. During the first 14 days, 2,744 civilization visited anew store. The same number of people visitedthe store each day. Around how numerous peoplevisited the store each day?5. What number is 100 times as great as 0.3?6. Note said the the product of 0.02 and 0.7is 14. Note is wrong. What is the product?FOR much more PRACTICEGO come THE388Personal math Trainer© houghton Mifflin Harcourt publishing CompanySpiral testimonial (5.NBT.A.2, 5.NBT.A.3b, 5.NBT.B.6, 5.NBT.B.7)