eureka math grade 5 module 4 lesson 13 homework

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Eureka Math Grade 4 Module 5 Lesson 13 Answer Key

Engage ny eureka math 4th grade module 5 lesson 13 answer key, eureka math grade 4 module 5 lesson 13 problem set answer key.

Question 1. Place the following fractions on the number line given. a. \(\frac{4}{3}\)

Answer: \(\frac{4}{3}\) = 1.33.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{4}{3}\) = 1.33. 4/3 = 1.33.

b. \(\frac{11}{6}\)

Answer: \(\frac{11}{6}\) = 1.83.

c. \(\frac{17}{12}\)

Answer: \(\frac{17}{12}\) = 1.41.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{17}{12}\) = 1.41. 17/12 = 1.41.

Question 2. Use the number line in Problem 1 to compare the fractions by writing >, ˂, or = on the lines. a. 1\(\frac{5}{6}\) ________ 1\(\frac{5}{12}\)

Answer: 1\(\frac{5}{6}\) > 1\(\frac{5}{12}\)

Explanation: In the above-given question, given that, 1\(\frac{5}{6}\) = 1(5/6). 6 +5/6 = 11/6. 11/6 = 1.83 1\(\frac{5}{12}\) = 1(5/12). 12 + 5/12 = 17/12. 17/12 = 1.41. 1\(\frac{7}{12}\) > 1\(\frac{1}{2}\)

b. 1\(\frac{1}{3}\) ________ 1\(\frac{5}{12}\)

Answer: 1\(\frac{1}{3}\) <1\(\frac{5}{12}\)

Explanation: In the above-given question, given that, 1\(\frac{1}{3}\) = 1(1/3). 3 +1/3 = 4/3. 4/3 = 1.33 1\(\frac{5}{12}\) = 1(5/12). 12 + 5/12 = 17/12. 17/12 = 1.41. 1\(\frac{1}{3}\) < 1\(\frac{1}{2}\)

Question 3. Place the following fractions on the number line given. a. \(\frac{11}{8}\)

Answer: \(\frac{11}{8}\) = 1.375.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{11}{8}\) = 1.375. 11/8 = 1.375.

b. \(\frac{7}{4}\)

Answer: \(\frac{7}{4}\) = 1.75.

c. \(\frac{15}{12}\)

Answer: \(\frac{15}{12}\) = 1.25.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{15}{12}\) = 1.25. 15/12 = 1.25.

Question 4. Use the number line in Problem 3 to explain the reasoning you used when determining whether \(\frac{11}{8}\) or \(\frac{15}{12}\) is greater.

Question 5. Compare the fractions given below by writing > or ˂ on the lines. Give a brief explanation for each answer referring to benchmarks. a. \(\frac{3}{8}\) _________ \(\frac{7}{12}\)

Answer: \(\frac{3}{8}\) < \(\frac{7}{12}\)

Explanation: In the above-given question, given that, \(\frac{3}{8}\) = (3/8). 3/8 = 0.375. \(\frac{7}{12}\) = (7/12). 7/12 = 0.583. \(\frac{3}{8}\) < \(\frac{7}{12}\)

b. \(\frac{3}{8}\) _________ \(\frac{7}{8}\)

Answer: \(\frac{3}{8}\) < \(\frac{7}{8}\)

Explanation: In the above-given question, given that, \(\frac{3}{8}\) = (3/8). 3/8 = 0.375. \(\frac{7}{8}\) = (7/8). 7/8 = 0.875. \(\frac{3}{8}\) < \(\frac{7}{8}\)

c. \(\frac{8}{6}\) _________ \(\frac{11}{12}\)

Answer: \(\frac{8}{6}\) > \(\frac{11}{12}\)

Explanation: In the above-given question, given that, \(\frac{8}{6}\) = (8/6). 8/6 = 1.33. \(\frac{11}{12}\) = (11/12). 11/12 = 0.916. \(\frac{8}{6}\) > \(\frac{11}{12}\)

d. \(\frac{5}{12}\) _________ \(\frac{1}{3}\)

Answer: \(\frac{5}{12}\) > \(\frac{1}{3}\)

Explanation: In the above-given question, given that, \(\frac{5}{12}\) = (5/12). 5/12 = 0.416. \(\frac{1}{3}\) = (1/3). 1/3 = 0.33. \(\frac{5}{12}\) > \(\frac{1}{3}\)

e. \(\frac{7}{5}\) _________ \(\frac{11}{10}\)

Answer: \(\frac{7}{5}\) > \(\frac{11}{10}\)

Explanation: In the above-given question, given that, \(\frac{7}{5}\) = (7/5). 7/5 = 1.4. \(\frac{11}{10}\) = (11/10). 11/10 = 1.1. \(\frac{7}{5}\) > \(\frac{11}{10}\)

f. \(\frac{5}{4}\) _________ \(\frac{7}{8}\)

Answer: \(\frac{5}{4}\) > \(\frac{7}{8}\)

Explanation: In the above-given question, given that, \(\frac{5}{4}\) = (5/4). 5/4 = 1.25. \(\frac{7}{8}\) = (7/8). 7/8 = 0.875. \(\frac{5}{4}\) > \(\frac{7}{8}\)

g. \(\frac{13}{3}\) _________ \(\frac{9}{10}\)

Answer: \(\frac{13}{3}\) < \(\frac{9}{10}\)

Explanation: In the above-given question, given that, \(\frac{13}{3}\) = (13/3). 13/3 = 4.3. \(\frac{9}{10}\) = (9/10). 9/10 = 0.9. \(\frac{13}{3}\) < \(\frac{9}{10}\)

h. \(\frac{6}{8}\) _________ \(\frac{5}{4}\)

Answer: \(\frac{6}{8}\) < \(\frac{5}{4}\)

Explanation: In the above-given question, given that, \(\frac{6}{8}\) = (6/8). 6/8 = 0.75. \(\frac{5}{4}\) = (5/4). 5/4 = 1.25. \(\frac{6}{8}\) < \(\frac{5}{4}\)

i. \(\frac{8}{12}\) __________ \(\frac{8}{4}\)

Answer: \(\frac{8}{12}\) < \(\frac{8}{4}\)

Explanation: In the above-given question, given that, \(\frac{8}{12}\) = (8/12). 8/12 = 0.375. \(\frac{8}{4}\) = (8/4). 8/4 = 2. \(\frac{8}{12}\) < \(\frac{8}{4}\)

j. \(\frac{7}{5}\) __________ \(\frac{16}{10}\)

Answer: \(\frac{7}{5}\) < \(\frac{16}{10}\)

Explanation: In the above-given question, given that, \(\frac{7}{5}\) = (7/5). 7/5 = 1.4. \(\frac{16}{10}\) = (16/10). 16/10 = 1.6. \(\frac{7}{5}\) < \(\frac{16}{10}\)

Eureka Math Grade 4 Module 5 Lesson 13 Exit Ticket Answer Key

Question 1. Place the following fractions on the number line given. a. \(\frac{5}{4}\)

b. \(\frac{10}{7}\)

Answer: \(\frac{10}{7}\) = 1.42.

c. \(\frac{16}{9}\)

Answer: \(\frac{16}{9}\) = 1.77.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{16}{9}\) = 1.77. 16/9 = 1.77.

Question 2. Compare the fractions using >, ˂, or =. a. \(\frac{5}{4}\) ________ \(\frac{10}{7}\)

Answer: \(\frac{5}{4}\) = \(\frac{10}{7}\)

Explanation: In the above-given question, given that, \(\frac{5}{4}\) = (5/4). 5/4 = 1.25. \(\frac{10}{7}\) = (10/7). 10/7 = 1.25. \(\frac{8}{12}\) = \(\frac{8}{4}\)

b. \(\frac{5}{4}\) ________ \(\frac{16}{9}\)

Answer: \(\frac{5}{4}\) < \(\frac{16}{9}\)

Explanation: In the above-given question, given that, \(\frac{5}{4}\) = (5/4). 5/4 = 1.25. \(\frac{16}{9}\) = (16/9). 16/9 = 1.77. \(\frac{5}{4}\) < \(\frac{16}{9}\)

c. \(\frac{16}{9}\) ________ \(\frac{10}{7}\)

Answer: \(\frac{16}{9}\) < \(\frac{10}{7}\)

Explanation: In the above-given question, given that, \(\frac{16}{9}\) = (16/9). 16/9 = 0.375. \(\frac{10}{7}\) = (10/7). 10/7 = 1.42. \(\frac{16}{9}\) < \(\frac{10}{7}\)

Eureka Math Grade 4 Module 5 Lesson 13 Homework Answer Key

Question 1. Place the following fractions on the number line given. a. \(\frac{3}{2}\)

Answer: \(\frac{3}{2}\) = 1.5.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{3}{2}\) = 3/2. 3/2 = 1.5.

b. \(\frac{9}{5}\)

Answer: \(\frac{9}{5}\) = 1.8.

c. \(\frac{14}{10}\)

Answer: \(\frac{14}{10}\) = 1.4.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{14}{10}\) = 1.4. 14/10 = 1.4.

Question 2. Use the number line in Problem 1 to compare the fractions by writing >, ˂, or = on the lines. a. 1\(\frac{1}{6}\) ________ 1\(\frac{4}{12}\)

Answer: 1\(\frac{1}{6}\) < 1\(\frac{4}{12}\)

Explanation: In the above-given question, given that, 1\(\frac{1}{6}\) = 1(1/6). 6 + 1/6 = 7/6. 7/6 = 1.16. 1\(\frac{4}{12}\) = 1(4/12). 12 + 4/12 = 16/12. 16/12 = 1.33. 1\(\frac{1}{6}\) < 1\(\frac{4}{12}\)

b. 1\(\frac{1}{2}\) ________ 1\(\frac{4}{5}\)

Answer: 1\(\frac{1}{2}\) < 1\(\frac{4}{5}\)

Explanation: In the above-given question, given that, 1\(\frac{1}{2}\) = 1(1/2). 2 + 1/2 = 3/2. 3/2 = 1.5. 1\(\frac{4}{5}\) = 1(4/5). 5 + 4/5 = 9/5. 9/5 = 1.8. 1\(\frac{1}{2}\) < 1\(\frac{4}{5}\)

Question 3. Place the following fractions on the number line given. a. \(\frac{12}{9}\)

Answer: \(\frac{12}{9}\) = 1.33.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{12}{9}\) = 12/9. 12/9 = 1.33.

b. \(\frac{6}{5}\)

Answer: \(\frac{6}{5}\) = 1.2.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{6}{5}\) = 1.2. 6/5 = 1.2.

c. \(\frac{18}{15}\)

Answer: \(\frac{18}{15}\) = 1.2.

Explanation: In the above-given question, given that, plot the following points on the number line without measuring. \(\frac{18}{15}\) = 1.2. 18/15 = 1.2.

Question 4. Use the number line in Problem 3 to explain the reasoning you used when determining whether \(\frac{12}{9}\) or \(\frac{18}{15}\) was greater.

Question 5. Compare the fractions given below by writing > or ˂ on the lines. Give a brief explanation for each answer referring to benchmarks. a. \(\frac{2}{5}\) _________ \(\frac{6}{8}\)

Answer: \(\frac{2}{5}\) < \(\frac{6}{8}\)

Explanation: In the above-given question, given that, \(\frac{2}{5}\) = (2/5). 2/5 = 0.4. \(\frac{6}{8}\) = (6/8). 6/8 = 0.75. \(\frac{2}{5}\) < \(\frac{6}{8}\)

b. \(\frac{6}{10}\) _________ \(\frac{5}{6}\)

Answer: \(\frac{6}{10}\) < \(\frac{5}{6}\)

Explanation: In the above-given question, given that, \(\frac{6}{10}\) = (6/10). 6/10 = 0.6. \(\frac{5}{6}\) = (5/6). 5/6 = 0.83. \(\frac{6}{10}\) < \(\frac{5}{6}\)

c. \(\frac{6}{4}\) _________ \(\frac{7}{8}\)

Answer: \(\frac{6}{4}\) < \(\frac{7}{8}\)

Explanation: In the above-given question, given that, \(\frac{6}{4}\) = (6/4). 6/4 = 0.375. \(\frac{7}{8}\) = (7/8). 7/8 = 0.875. \(\frac{6}{4}\) < \(\frac{7}{8}\)

d. \(\frac{1}{4}\) _________ \(\frac{8}{12}\)

Answer: \(\frac{1}{4}\) < \(\frac{8}{12}\)

Explanation: In the above-given question, given that, \(\frac{1}{4}\) = (1/4). 1/4 = 0.25. \(\frac{8}{12}\) = (8/12). 8/12 = 0.66. \(\frac{1}{4}\) < \(\frac{8}{12}\)

e. \(\frac{14}{12}\) _________ \(\frac{11}{6}\)

Answer: \(\frac{14}{12}\) > \(\frac{11}{6}\)

Explanation: In the above-given question, given that, \(\frac{14}{12}\) = (14/12). 14/12 = 1.16. \(\frac{11}{6}\) = (11/6). 11/6 = 1.83. \(\frac{14}{12}\) > \(\frac{11}{6}\)

f. \(\frac{8}{9}\) _________ \(\frac{3}{2}\)

g. \(\frac{7}{9}\) _________ \(\frac{10}{7}\)

Answer: \(\frac{7}{9}\) < \(\frac{10}{7}\)

Explanation: In the above-given question, given that, \(\frac{7}{9}\) = (7/9). 7/9 = 0.77. \(\frac{10}{7}\) = (10/7). 10/7 = 1.42. \(\frac{7}{9}\) < \(\frac{10}{7}\)

h. \(\frac{3}{4}\) _________ \(\frac{4}{3}\)

Answer: \(\frac{3}{4}\) < \(\frac{4}{3}\)

Explanation: In the above-given question, given that, \(\frac{3}{4}\) = (3/4). 3/4 = 0.75. \(\frac{4}{3}\) = (4/3). 4/3 = 1.33. \(\frac{3}{4}\) < \(\frac{4}{3}\)

i. \(\frac{3}{8}\) _________ \(\frac{3}{2}\)

Answer: \(\frac{3}{8}\) < \(\frac{3}{2}\)

Explanation: In the above-given question, given that, \(\frac{3}{8}\) = (3/8). 3/8 = 0.375. \(\frac{3}{2}\) = (3/2). 3/2 = 1.5. \(\frac{3}{8}\) < \(\frac{3}{2}\)

j. \(\frac{9}{6}\) _________ \(\frac{16}{12}\)

Answer: \(\frac{9}{6}\) > \(\frac{16}{12}\)

Explanation: In the above-given question, given that, \(\frac{9}{6}\) = (9/6). 9/6 = 1.5. \(\frac{16}{12}\) = (10/7). 16/12 = 1.33. \(\frac{9}{6}\) > \(\frac{16}{12}\)

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