CHAPTER 5: ADDING AND SUBTRACTING FRACTIONS

CHAPTER 5: ADDING AND SUBTRACTINGFRACTIONS AND DECIMALS5.1ADDING LIKE FRACTIONS P 2-35.2ADDING UNLIKE FRACTIONS P 4-55.3ADDING MIXED NUMBERS P 6-75.4SUBTRACTING FRACTIONS FROM WHOLE NUMBERS P 8-95.5SUBTRACTING FRACTIONS FROM FRACTIONS P 10-115.6ADDING AND SUBTRACTING DECIMALS P 12-13ANSWER KEY P. 14-151

5.1 Adding Like FractionsKey Vocabulary 5.2vertical:horizontal:Think 5.1 Set up fractions to add vertically. Keep denominator. Add numerators. Convert improper Fractions to mixed numbers as needed. Simplify by reducing fractions to lowest terms as needed.418461 4 82 11021 1 14 2884Try It 5.1Find the sums. Then convert to mixed number and simplify as needed.1)1 1 3 32)2 2 6 63)3 1 8 84)3 5 6 65)4 5 5 56)6 2 9 95.2 Practice Exercises2

Find the sums. Then convert to mixed number and simplify as needed.1)1 2 4 42)2 1 3 33)3 3 4 44)1 2 1 3 3 35)2 4 8 86)9 3 7 77)1 5 10 12 12 128)Jill jogged six tenths of a mile. Abby jogged eight tenths of a mile. How many miles didthey jog altogether?9)Henry bought some advertising space in a local magazine. One space cost 250 fora page. The other space cost 175 for7of103of a page. What was the combined amount of space10Henry bought?10) How much did Henry pay for the ads altogether?3

5.2 Adding Unlike FractionsKey Vocabulary 5.2least common denominator (LCD):Think 5.2 Set up fractions to add vertically. Use common multiples to find the least common denominator (LCD). Raise fractions to higher terms. Add numerators. Convert improper fractions to mixed numbers as needed. Simplify by reducing fractions to lowest terms as needed.1 4 4x 3 4 122 3 6 x 4 3 1210 5 12 63 3 9x 6 3 186 2 12 x 9 2 182131 1 118 186Try It 5.2Find the sums and simplify as needed.1)2 3 4 52)4 8 6 93)2 6 6 84)3 5 8 125)2 4 3 96)3 5 4 64

5.2 Practice ExercisesAdd fractions, convert to mixed numbers, and simplify as needed.1)7 3 8 42)1 1 2 43)3 5 4 84)7 1 8 25)5 2 6 35 46) 8 67)2 2 4 88)2 1 3 29)Samantha used124C of sugar,C of milk, and C of flour for her pie recipe.639How many cups of ingredients did she use altogether?10)Rene’ bought314pounds of pecans, pound of walnuts, andpounds of436almonds to make homemade nutritional snacks. How many pounds of nuts did she buy inall?5

5.3 Adding Mixed NumbersThink 5.3 Line up fractions to add vertically. Find least common denominator (LCD) as needed and raise fractions to higher terms. Add whole numbers on left side of mixed number. Keep denominator and add numerators. on right side of fractions. Convert improper fractions to mixed number as needed then combine whole numbers fromboth sides. Simplify as needed.2 3 63 x 4 3 125 2 10 2 x 6 2 1216415 1 112 123 11 63131 232634Try It 5.31)2)3)4)5)6)111 2 441212 2 23514 2 123186 2 412313 2 46258 3 696

5.3 Practice ExercisesFind sums. Find least common denominator (LCD), convert improper to mixed number, combinewhole numbers, and simplify fractions as needed.311) 7 6 42122) 12 4 68223) 10 3 594) 462 3 105345) 8 6 812156) 5 7 416467) 10 8 69128) 4 3 29349) 10 8 5510)and 3Ramón is conditioning for a race. He ran 223miles Friday, 1 miles on Saturday,344miles on Sunday. How many miles did he run during the three days.67

5.4 Subtracting Fractions From Whole NumbersKey Vocabulary 5.4regrouping fractions:Think 5.4 Set up fractions to subtract vertically. Regroup by borrowing 1 from the top whole number using bottom denominator. Subtract whole numbers on left side of fraction. Subtract numerators of left side of fraction keeping denominator. Simplify by reducing fraction to lowest terms as needed.443 411422 3 4884 18413 382455 14 8Try It 5.4Find the differences. Borrow, regroup, and simplify as needed.1)3 1022) 3 46 1634) 12 97 3) 10 25) 9 86) 16 84 10

5.4 Practice ExercisesSubtract fractions. Borrow, regroup, and simplify fractions by reducing to lowest terms as needed.Find the differences. Borrow, regroup, and simplify as needed.1) 2 1 22) 3 4 53) 6 2 124) 10 6 915) 11 2 46) 12 82 147) 16 78 208) 15 39 189) 9 15 1510) Jennifer bought 5 loaves of bread. She used 2does she have left out of the original loaves?96loaves at dinner. How much8

5.5 Subtracting Fractions From FractionsThink 5.5 Find the least common denominator (LCD) and raise fractions to higher terms as needed. If top numerator has less value the bottom denominator, borrow from top whole number. Regroup the whole number and add to top fraction. Subtract numerators keeping common denominator. Simplify as needed by reducing answer to lowest terms.541310 2 441 4910 4 43 24217 742Try It 5.5Find the differences. Find least common denominators, borrow, regroup, and simplify answers asneeded.1)126 2 442)2 43 1 5 53)3710 2 884)125)6516 14 966)388 4 71422 4 12310

5.5 Practice ExercisesFind the differences. Find least common denominators, borrow, regroup, and simplify answers asneeded.441) 4 2 66122) 10 4 332 43) 6 1 8 8244) 12 8 665) 1438 6 1515186) 6 2 412127) 6 2 442 48) 3 1 5 5379) 10 2 8810)Marco bought a rope that was 16branch and 411feet long. He used 2 feet to tie up a tree431feet to tie down a load of leaves in his truck. How much rope does he have6left from the original piece of rope. (Hint: Two step question.)11

5.6 Adding and Subtracting DecimalsThink 5.6 Line up decimals using decimals. Place whole numbers on left side of decimal and decimal fractions to right side of decimal. Add zeros as placeholders to make decimals share same place value. Drop decimal straight down then find sum or difference.2.1 3.12 4 WholeNumbersDecimalFractions2 1 03 1 2 4 0 092Insert Zero Placeholders2Try It 5.6Find sums or differences. Line up numbers using decimal points and add zeros as place holders asneeded.(1)14.12 3.6 (2)2.345 0.14 (3)13 0.368 (4)10.3 0.45 (5)73 14.037 (6)12.2 3.243 12

5.6 Practice ExercisesFind sums or differences. Line up numbers using decimal points and add zeros as place holders asneeded.1) 0.8 0.4 2) 13.5 6.14 3) 8.34 6.257 4) 8 0.37 5) 21.3 10 0.255 6) 0.9 0.3 7) 1.35 0.675 8) 10.3 7.06 9) 16 9.32 10)Harry biked 13.3 miles. Michael biked 9.37 miles. Saran biked 8 miles. How fardid they bike altogether?13

Chapter 5: Answer Key5.35.11452) 1612283) 13454) 8175) 142496) 121617) 193138) 71829) 195110) 812342) 113) 1214) 1335)456) 1717) 1328) 159) 1 page1) 141)10) 4255.25.451) 1832)433) 1834) 1815) 1276) 12437)418) 1659) 118310) 141212) 2553) 5614) 9335) 8466) 3737) 8518) 11229) 73110) 241) 114

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5.3 Adding Mixed Numbers Think 5.3 Line up fractions to add vertically. Find least common denominator (LCD) as needed and raise fractions to higher terms. Add whole numbers on left side of mixed number. Keep denominator and add numerators. on right side of fractions. Convert improper fractions to mixed number as needed then combine whole .