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lesson 16 homework 4.5 answer key

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Add And Subtract Fractions: Visual Models

Description.

Objective:  Use visual models to add and subtract two fractions with the same units.

In Lessons 16 and 17, students generalize familiar facts about whole number addition and subtraction to work with fractions. Just as 3 apples – 2 apples = 1 apple, students note that 3 fourths – 2 fourths = 1 fourth. Just as 6 days + 3 days = 9 days = 1 week 2 days, students note that 6/7 + 3/7 = 9/7 = 7/7 + 2/7 = 1 2/7.

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  • Grade 4 Mathematics Module 5, Topic D, Lesson 16

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CCSS Math Answers

Eureka Math Grade 4 Module 5 Lesson 26 Answer Key

Engage ny eureka math 4th grade module 5 lesson 26 answer key, eureka math grade 4 module 5 lesson 26 problem set answer key.

Engage NY Math Grade 4 Module 5 Lesson 26 Problem Set Answer Key 1

Answer: 2\(\frac{7}{8}\) = 2.8.

Explanation: In the above-given question, given that, plot the points on the number line. 2(7/8). 2 x 8 = 16. 16 + 7/8. 23/8 = 2.875. 2\(\frac{7}{8}\) = 2.8.

Answer: \(\frac{29}{12}\) = 2.4.

Explanation: In the above-given question, given that, plot the points on the number line. 29/12 = 2.41. \(\frac{29}{12}\) = 2.4

Answer: 3\(\frac{1}{6}\) = 3.1.

Eureka-Math-Grade-4-Module-5-Lesson-26-Answer Key-1

b. Use the number line in Problem 1(a) to compare the fractions by writing >, ˂, or =. i. \(\frac{29}{12}\) ____<___ 2\(\frac{7}{8}\)

Answer: 29/12  <  2(7/8).

Explanation: In the above-given question, given that, plot the points on the number line. 2(7/8). 2 x 8 = 16. 16 + 7/8. 23/8 = 2.875. 29/12 = 2.4 2.4 < 2.875.

ii. \(\frac{29}{12}\) ___<______ 3\(\frac{1}{6}\)

Answer: 29/12  <  3(1/6).

Explanation: In the above-given question, given that, plot the points on the number line. 3(1/6). 3 x 6 = 18. 18 + 1/6. 19/6 = 3.1. 29/12 = 2.4 3.1 > 2.4.

Question 2. a. Plot the following points on the number line without measuring. i. \(\frac{70}{9}\)

Answer: \(\frac{70}{9}\) = 7.7

Explanation: In the above-given question, given that, plot the points on the number line. 70/9 = 7.7. \(\frac{70}{9}\) = 7.7.

ii. 8\(\frac{2}{4}\)

Answer: 8\(\frac{2}{4}\) = 8.5.

Explanation: In the above-given question, given that, plot the points on the number line. 8(2/4). 8 x 4 = 32. 32 + 2/4. 34/4 = 8.5.. 8\(\frac{2}{4}\) = 8.5.

iii. \(\frac{25}{3}\)

Answer: \(\frac{25}{3}\) = 8.3.

Explanation: In the above-given question, given that, plot the points on the number line. 25/3 = 8.3. \(\frac{25}{3}\) = 8.3.

Engage NY Math Grade 4 Module 5 Lesson 26 Problem Set Answer Key 2

b. Compare the following by writing >, ˂, or =. i. 8\(\frac{2}{4}\) ___<____ \(\frac{25}{3}\)

Answer: 25/3  <  8(2/4).

Explanation: In the above-given question, given that, plot the points on the number line. 8(2/4). 8 x 4 = 32. 32 + 2/4. 34/4 = 8.5. 25/3 = 8.3. 8.3 < 8.5.

ii. \(\frac{70}{9}\) ____<_____ 8\(\frac{2}{4}\)

Answer: 70/9  <  8(2/4).

Explanation: In the above-given question, given that, plot the points on the number line. 8(2/4). 8 x 4 = 32. 32 + 2/4. 34/4 = 8.5. 70/9 = 7.7 7.7 < 8.5. c. Explain how you plotted the points in Problem 2(a).

Question 3. Compare the fractions given below by writing >, ˂, or =. Give a brief explanation for each answer, referring to benchmark fractions. a. 5\(\frac{1}{3}\) ____>______ 4\(\frac{3}{4}\)

Answer: 4(3/4)  >  5(1/3).

Explanation: In the above-given question, given that, plot the points on the number line. 4(3/4). 4 x 4 = 16. 16 + 3/4. 19/4 = 4.75. 5(1/3). 5 x 3 = 15. 15 + 1/3. 16/3 = 5.3. 4.7 < 5.3.

b. \(\frac{12}{6}\) ____=_______ \(\frac{25}{12}\)

Answer: 12/6  =  25/12.

Explanation: In the above-given question, given that, plot the points on the number line. 12/6 = 2. 25/12 = 2.0. 2.0 = 2.0.

c. \(\frac{18}{7}\) ____<______ \(\frac{17}{5}\)

Answer: 18/7  <  17/5.

Explanation: In the above-given question, given that, plot the points on the number line. 18/7 = 2.5. 17/5 = 3.4. 2.5 < 3.4.

d. 5\(\frac{2}{5}\) _____<_____ 5\(\frac{5}{8}\)

Answer: 5(2/5)  <  5(5/8).

Explanation: In the above-given question, given that, plot the points on the number line. 5(2/5). 5 x 5 = 25. 25 + 2/5. 27/5 = 5.4. 5(5/8). 5 x 8 = 40. 40 + 5/8. 45/8 = 5.6. 5.4 < 5.6.

e. 6\(\frac{2}{3}\) ___>_______ 6\(\frac{3}{7}\)

Answer: 6(2/3)  >  6(3/7).

Explanation: In the above-given question, given that, plot the points on the number line. 6(2/3). 6 x 3 = 18. 18 + 2/3. 20/3 = 6.6. 6(3/7). 6 x 7 = 42. 42 + 3/7. 45/7 = 6.4. 6.6 > 6.4

f. \(\frac{31}{7}\) ____>______ \(\frac{32}{8}\)

Answer: 31/7  >  32/8.

Explanation: In the above-given question, given that, plot the points on the number line. 31/7 = 4.4. 32/8 = 4. 4.4 > 4.

g. \(\frac{31}{10}\) _____=_____ \(\frac{25}{8}\)

Answer: 31/10  =  25/8.

Explanation: In the above-given question, given that, plot the points on the number line. 31/10 = 3.1. 25/8 = 3.1. 3.1 = 3.1.

h. \(\frac{39}{12}\) ____>_____ \(\frac{19}{6}\)

Answer: 39/12  >  19/6.

Explanation: In the above-given question, given that, plot the points on the number line. 39/12 = 3.2. 19/6 = 3.1. 3.2 > 3.1.

i. \(\frac{49}{50}\) ____<______ 3\(\frac{90}{100}\)

Answer: 49/50 <  3(90/100).

Explanation: In the above-given question, given that, plot the points on the number line. 3(90/100). 3 x 100 = 300. 300 + 90/100. 390/100 = 3.9. 49/50 = 0.98. 0.98 < 3.9.

j. 5\(\frac{5}{12}\) ____>_____ 5\(\frac{51}{100}\)

Answer: 5(5/12)  >  5(51/100).

Explanation: In the above-given question, given that, plot the points on the number line. 5(5/12). 5 x 12 = 60. 60 + 5/12. 65/12 = 5.4. 5(51/100). 5 x 100 = 500. 500 + 51/100. 551/100 = 5.1. 5.4 > 5.1.

Eureka Math Grade 4 Module 5 Lesson 26 Exit Ticket Answer Key

Compare the fractions given below by writing >, ˂, or =. Give a brief explanation for each answer, referring to benchmark fractions. Question 1. 3\(\frac{2}{3}\) ____=______ 3\(\frac{4}{6}\)

Answer: 3(2/3)  =  3(4/6).

Explanation: In the above-given question, given that, plot the points on the number line. 3(2/3). 3 x 3 = 9. 9 + 2/3. 11/3 = 3.6. 3(4/6). 6 x 3 = 18. 18 + 4/6. 22/6 = 3.6. 3.6 = 3.6.

Question 2. \(\frac{12}{3}\) _____>_____ \(\frac{27}{7}\)

Answer: 12/3  >  27/7.

Explanation: In the above-given question, given that, plot the points on the number line. 12/3 = 4. 27/7 = 3.8. 4 > 3.8.

Question 3. \(\frac{10}{6}\) __________ \(\frac{5}{4}\)

Answer: 10/6  >  5/4.

Explanation: In the above-given question, given that, plot the points on the number line. 10/6 = 1.6. 5/4 = 1.2. 1.6 > 1.2.

Question 4. 3\(\frac{2}{5}\) __________ 3\(\frac{3}{10}\)

Answer: 3(2/5)  >  3(3/10).

Explanation: In the above-given question, given that, plot the points on the number line. 3(2/5). 3 x 5 = 15. 15 + 2/5. 17/5 = 3.4. 3(3/10). 10 x 3 = 30. 30 + 3/10. 33/10 = 3.3. 3.4 > 3.3.

Eureka Math Grade 4 Module 5 Lesson 26 Homework Answer Key

Eureka Math Grade 4 Module 5 Lesson 26 Homework Answer Key 1

Answer: 2\(\frac{1}{6}\) = 2.1.

Explanation: In the above-given question, given that, plot the points on the number line. 2(1/6). 2 x 6 = 12. 12 + 1/6. 13/6 = 2.1. 2\(\frac{1}{6}\) = 2.1.

Answer: 3\(\frac{3}{4}\) = 3.75.

Explanation: In the above-given question, given that, plot the points on the number line. 3(3/4). 3 x 4 = 12. 12 + 3/4. 15/4 = 3.75. 3\(\frac{3}{4}\) = 3.7.

Answer: \(\frac{33}{9}\) = 3.6.

Eureka-Math-Grade-4-Module-5-Lesson-26-Answer Key-3

b. Use the number line in Problem 1(a) to compare the fractions by writing >, ˂, or =. i. \(\frac{33}{9}\) ____>______ 2\(\frac{1}{6}\)

Answer: 33/9 >  2(1/6).

Explanation: In the above-given question, given that, plot the points on the number line. 2(1/6). 2 x 6 = 12. 12 + 1/6. 13/6 = 2.1. 33/9 = 3.6. 3.6 > 2.1.

ii. \(\frac{33}{9}\) ____<______ 3\(\frac{3}{4}\)

Answer: 33/9 <  3(3/4).

Explanation: In the above-given question, given that, plot the points on the number line. 3(3/4). 3 x 4 = 12. 12 + 3/4. 15/4 = 3.7. 33/9 = 3.6. 3.7 > 3.6.

Eureka Math Grade 4 Module 5 Lesson 26 Homework Answer Key 2

Answer: \(\frac{65}{8}\) = 8.1.

Explanation: In the above-given question, given that, plot the points on the number line. 65/8 = 8.1. \(\frac{65}{8}\) = 8.1

Answer: \(\frac{29}{4}\) = 7.2.

Explanation: In the above-given question, given that, plot the points on the number line. 29/4 = 7.2. \(\frac{29}{4}\) = 7.2

Answer: 8\(\frac{5}{6}\) = 8.8.

Eureka-Math-Grade-4-Module-5-Lesson-26-Answer Key-4

b. Compare the following by writing >, ˂, or =. i. 8\(\frac{5}{6}\) ____<_______ \(\frac{65}{8}\)

Answer: 65/8 <  8(5/6).

Explanation: In the above-given question, given that, plot the points on the number line. 8(5/6). 8 x 6 = 48. 48 + 5/6. 53/6 = 8.8. 65/8 = 8.1. 8.1 < 8.8.

ii. \(\frac{29}{4}\) ____<______ \(\frac{65}{8}\)

Answer: 29/4  <  65/8.

Explanation: In the above-given question, given that, plot the points on the number line. 29/4 = 7.2. 65/8 = 8.1. 7.2 < 8.1.

c. Explain how you plotted the points in Problem 2(a).

Question 3. Compare the fractions given below by writing >, ˂, or =. Give a brief explanation for each answer, referring to benchmark fractions. a. 5\(\frac{1}{3}\) ___<______ 5\(\frac{3}{4}\)

Answer: 5(1/3)  <  5(3/4).

Explanation: In the above-given question, given that, plot the points on the number line. 5(1/3). 3 x 5 = 15. 15 + 1/3. 16/3 = 5.3. 5(3/4). 5 x 4 = 20. 20 + 3/4. 23/4 = 5.7. 5.3 < 5.7.

b. \(\frac{12}{4}\) ____>______ \(\frac{25}{8}\)

Answer: 12/4  >  25/8.

Explanation: In the above-given question, given that, plot the points on the number line. 12/4 = 3. 25/8 = 3.1. 3 > 3.1.

c. \(\frac{18}{6}\) ___<______ \(\frac{17}{4}\)

Answer: 18/6  <  17/4.

Explanation: In the above-given question, given that, plot the points on the number line. 18/6 = 3. 17/4 = 4.2. 3 < 4.2.

d. 5\(\frac{3}{5}\) ___>______ 5\(\frac{5}{10}\)

Answer: 5(3/5)  >  5(5/10).

Explanation: In the above-given question, given that, plot the points on the number line. 5(3/5). 5 x 5 = 25. 25 + 3/5. 28/5 = 5.6. 5(5/10). 10 x 5 = 50. 50 + 5/10. 55/10 = 5.5. 5.6 > 5.5.

e. 6\(\frac{3}{4}\) ______>_____ 6\(\frac{3}{5}\)

Answer: 6(3/4)  >  6(3/5).

Explanation: In the above-given question, given that, plot the points on the number line. 6(3/4). 6 x 4 = 24. 24 + 3/4. 27/4 = 6.7. 6(3/5). 6 x 5 = 30. 30 + 3/5. 33/5 = 6.6. 6.7 > 6.6.

f. \(\frac{33}{6}\) _____>______ \(\frac{34}{7}\)

Answer: 33/6  >  34/7.

Explanation: In the above-given question, given that, plot the points on the number line. 33/6 = 5.5. 34/7 = 4.8. 5.5 > 4.8.

g. \(\frac{23}{10}\) __________ \(\frac{20}{8}\)

Answer: 23/10  <  20/8.

Explanation: In the above-given question, given that, plot the points on the number line. 23/10 = 2.3. 20/8 = 2.5. 2.3 < 2.5.

h. \(\frac{27}{12}\) _________ \(\frac{15}{6}\)

Answer: 27/12  <  15/6.

Explanation: In the above-given question, given that, plot the points on the number line. 27/12 = 2.2. 15/6 = 2.5. 2.2 < 2.5.

i. 2\(\frac{49}{50}\) __________ 2\(\frac{99}{100}\)

Answer: 2(49/50)  =  2(99/100).

Explanation: In the above-given question, given that, plot the points on the number line. 2(49/50). 2 x 50 = 100. 100 + 49/50. 149/50 = 2.98. 2(99/100). 100 x 2 = 200. 200 + 99/100. 299/100 = 2.99. 2.9 = 2.9.

j. 6\(\frac{5}{9}\) __________ 6\(\frac{49}{100}\)

Answer: 6(5/9)  >  6(49/100).

Explanation: In the above-given question, given that, plot the points on the number line. 6(5/9). 6 x 9 = 54. 54 + 5/9. 59/9 = 6.5. 6(49/100). 100 x 6 = 600. 600 + 49/100. 649/100 = 6.4. 6.5 > 6.4.

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