Answer Key • Lesson 4: Comparing Fractions

1 TG Grade 4 Unit 8 Lesson 4 Answer Key 1 Copyright Kendall Hunt Publishing CompanyAnswer Key Lesson 4: Comparing Fractions * answers and/or discussion are included in the Kendall Hunt Publishing Company316SG Grade 4 Unit 8 Lesson 4 Comparing FractionsUse the Fraction Chart you made to complete the following has a recipe for oatmeal cookies that calls for3 4cup of sugar. Herbrownie recipe calls for1 2cup of sugar. Which recipe calls for more sugar? walks7 10of a mile to school. Keenya walks2 3of a mile to lives closer to the school, Keenya or Roberto? Comparing Fractions to1 at your Fraction several Fractions that are less than1 several Fractions that are equal to1 several Fractions that are greater than1 a pattern that tells whether a fraction is less than, equal to, orgreater than1 the following Fractions to1 2.

2 Use the symbols , , or in :1 2<5 your Fraction Chart to compare the following Fractions . Use the symbols <, >, or = in your 2 1 21 3 1 4 1 41 3 1 21 4 1 4 1 82 4 2 2 1 26 12 Student Guide- Page 316 Copyright Kendall Hunt Publishing Company317 Comparing FractionsSG Grade 4 Unit 8 Lesson 4 Using1 2as a Benchmark to compare FractionsTo compare two Fractions , it sometimes helps to first compare them to1 2. Forexample,1 4is less than1 2and5 8is greater than1 2. From this, we know that1 4is lessthan5 2as a benchmark or your Fraction Chart to compare the following pairsof Fractions . Write number sentences using , , or . 4,1 5,7 8,5 4,6 9,2 5,1 number sentences are true?

3 6 5 4 2 4 1 6 1 6 4 1 4 1 2 8 3 6 12 6 12 3 6 3 a false number sentence from above and make it Numerator or Same your Fraction Chart to put the following Fractions in order from smallestto 3,1 6,1 5,3 4,3 10,2 4,2 your answers from Question 9 to help you Answer this question: If twoor more Fractions have the same numerator, how can you tell which one issmallest? the following Fractions in order from smallest to 5,4 5,2 8,2 8,7 10,2 10,1 your answers from Question 11 to help you Answer this question: If twoor more Fractions have the same denominator, how can you tell which one issmallest? 81 81 81 81 81 81 81 8 Student Guide- Page 317 Student GuideQuestions 1 19 (SG pp.)

4 316 318) cookie recipe calls for more lives will vary. Possible 3, 1 4, 1 8, 3 8,4 4, 3 6, 4 8, 5 10, 6 3, 3 4, 3 5, 4 5, 5 64.* A fraction is less than (equal to, greater than) 1 2if its numerator is less than half (equal to,greater than) half its may vary as shown in the answers to5A and 14 12 or 12 14 B. 23 12 or 12 23 C. 12 25 D. 12 36 E. 152 12 F. 69 12 B. C. D. E. F. 34 13 B. 25 170 C. 58 152 D. 24 162 E. 39 23 F. 35 14 , C, D; Possible answers for G:B: 14 24 12 , E: 18 3 68 , F: 162 162 36 36 * 16 , 13 , 12 B.* 132 , 35 , 34 C.* 120 , 29 , 24 10.* When the numerators are the same, thefraction with the largest denominator is thesmallest fraction.

5 Larger denominators meanthe fraction strip is divided into * 1 5, 2 5,4 5B.* 2 8, 6 8,7 8C.* 1 10, 2 10, 3 10* answers and/or discussion are included in the TG Grade 4 Unit 8 Lesson 4 Answer KeyCopyright Kendall Hunt Publishing CompanyAnswer Key Lesson 4: Comparing Fractions12.*When the denominators are the same, thefraction with the largest numerator is thelargest * 13 , 12 , 46 B. 140 , 34 , 79 C. 14 , 35 , 56 D. 152 , 58 , 56 14.*Possible strategies for Question 13A:Use a Fraction Chart. Or, use 12 as a benchmark. 13 is less than 12 and 46 is greater than 12 , so 13 12 46 .Possible strategies for Question 13D:Use a Fraction Chart. Or, since all thefractions have the same numerator, thefractions with the larger denominators are thesmaller Fractions , so that 152 58 56.

6 110 110 , 130 , 25 B. 12 , 1 3 1 3,3 3C. 112 112 , 142 , 36 B. C. D. E. F. , Romesh is 5 1 5=2 4, 3 6, 7 6, 4 6, 5 5, 2 3, 7 12, 4 9, 4 are all equal to 1 2; they are 3, 5 12, 3 will vary. 1 4, 3 6, 7 10. A possibleresponse: 3 6is equivalent to 1 2because 3 ishalf of 6; 1 4is less than 1 2because fourths aresmaller than halves;7 10is greater than1 2because 7 is more than 5, which is half will vary. A possible response:using the Fraction Chart, they all line up asequivalent to 1 B. C. D. E. F. G. H. I. Copyright Kendall Hunt Publishing Company318SG Grade 4 Unit 8 Lesson 4 Comparing the following Fractions in order from smallest to 6,1 3,1 9,4 10,3 5,3 6,1 6,5 12,5 your strategies for Questions 13A and the following items in order from smallest to 10 1 10,2 5,3 3,1 3 1 3,1 12,3 6,1 12 1 the number sentences by using the symbols , , or in 3 1 33 1 1 21 2 1 101 2 1 126 1 9 9 1 1 41 4 1 4 1 4 1 Question 16C, Romesh says2 10 1 5 1 5.

7 Do you agree? Why or whynot? Check-In:Questions 17 the following Fractions in order from smallest to largest. Be prepared toexplain your 10,3 6,1 6,2 6,5 3,1 5,7 6,4 9,4 8,3 6,5 4,5 12,1 how you can solve Question 17A using a benchmark of 12 . your strategy for solving Question the following items. Write a sentence for each one using , , or . 121 4 1 54 8 1 82 1 22 101 6 1 6 1 121 6 1 1 81 6 1 122 1 1 108 1 5 Student Guide- Page 318 Student GuideHomework (SG p. 319)Questions 1 81. 28 , 132 130 12 B. 48 12 C. 12 122 D. 12 18 18 110 B. 69 152 C. 38 35 14 3 16 140 , 48 , 46 B. 130 , 38 , 35 C. 142 , 48 , 46 the numerators are the same, thefraction with the smaller denominator is thelarger 13 , 38 , 172 B.

8 152 , 12 , 35 C. 16 , 23 , 34 D. 16 , 15 , 14 E. 112 , 152 , 172 F. 29 , 12 , 34 G. 120 , 15 15 , 150 H. 19 , 36 , 13 13 TG Grade 4 Unit 8 Lesson 4 Answer Key 3 Answer Key Lesson 4: Comparing FractionsCopyright Kendall Hunt Publishing CompanyComplete the following questions. You may use your Fraction all the Fractions equal to1 4on your chart. Make a list of these needs5 8of a yard of fabric for a pillow. Luis needs3 4of a yard offabric for a banner. Who needs more fabric, Jackie or Luis? brought a pie to the potluck dinner. Itwas cut into 6 pieces. Romesh also broughta pie, but it was cut into 12 pieces. At theend of the night1 6of Jessie s pie was left and3 12of Romesh s pie was left.

9 If the pies were thesame size, who had more leftover pie, Jessie orRomesh? practiced her flute for1 2hour on Monday,1 4hour on Tuesday, and1 3hour on which day did she practice the longest period of time? which day did she practice the shortest period of time? your Fraction Chart to compare the following items. Write a numbersentence for each one using , , or . 10,1 8,1 2,2 2,1 8 1 8 2as a benchmark or your Fraction Chart to compare the a number sentence for each one using , , or . ,1 9,5 8,3 1 4, 3 1 your Fraction Chart to put the following Fractions in order from smallestto 8,4 6,4 5,3 10,3 8,4 12,4 two Fractions have the same numerator, how can you tell which one is larger?

10 The following items in order from smallest to largest. Be prepared toexplain your 12,1 3,3 5,5 12,1 3,3 4,1 5,1 4,1 12,1 12,5 2,3 4,2 5 1 5,2 10,5 3,1 9,1 3 1 3 Copyright Kendall Hunt Publishing Company319 Comparing FractionsSG Grade 4 Unit 8 Lesson 4 Student Guide- Page 319