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Eureka Math Grade 4 Module 5 Lesson 27 Answer Key

Engage ny eureka math 4th grade module 5 lesson 27 answer key, eureka math grade 4 module 5 lesson 27 problem set answer key.

Question 1. Draw a tape diagram to model each comparison. Use >, <, or = to compare. a. 3\(\frac{2}{3}\) ________ 3\(\frac{5}{6}\)

Answer: 3(2/3) < 3(5/6).

Explanation: In the above-given question, given that, 3(2/3) = 3 x 3. 3 x 3 = 9 + 2/3. 11/3 = 3.6. 3(5/6) = 3 x 6. 3 x 6 = 18 + 5/6. 23/6 = 3.8. 3.6 < 3.8.

b. 3\(\frac{2}{5}\) ________ 3\(\frac{6}{10}\)

Answer: 3(2/5) < 3(6/10).

Explanation: In the above-given question, given that, 3(2/5) = 3 x 5. 3 x 5 = 15 + 2/5. 17/5 = 3.4. 3(6/10) = 3 x 10. 3 x 10 = 30 + 6/10. 36/10 = 3.6. 3.4 < 3.6.

c. 4\(\frac{3}{6}\) ________ 4\(\frac{1}{3}\)

Answer: 4(3/6) > 4(1/3).

Explanation: In the above-given question, given that, 4(3/6) = 4 x 6. 4 x 6 = 24 + 3/6. 27/6 = 4.5. 4(1/3) = 3 x 4. 3 x 4 = 12 + 1/3. 13/3 = 4.3. 4.5 > 4.3.

d. 4\(\frac{5}{8}\) _________ \(\frac{19}{4}\)

Answer: 4(5/8) < (19/4).

Explanation: In the above-given question, given that, 4(5/8) = 4 x 8. 4 x 8 = 32 + 5/8. 37/8 = 4.625. 19/4 = 4.75. 4.6 < 4.7.

Question 2. Use an area model to make like units. Then, use >, <, or = to compare. a. 2\(\frac{3}{5}\) _________ \(\frac{18}{7}\)

Answer: 2(3/5) < (18/7).

Explanation: In the above-given question, given that, 2(3/5) = 2 x 5. 2 x 5 = 10 + 3/5. 18/7 = 2.5. 23/6 = 3.8. 2.5 < 3.8.

b. 2\(\frac{3}{8}\) _________ 2\(\frac{1}{3}\)

Answer: 2(3/8) = 2(1/3).

Explanation: In the above-given question, given that, 2(3/8) = 2 x 8. 2 x 8 = 16 + 3/8. 19/8 = 2.375. 2(1/3) = 3 x 2. 3 x 2 = 6 + 1/3. 7/3 = 2.3. 2.3 = 2.3.

Question 3. Compare each pair of fractions using >, <, or = using any strategy. a. 5\(\frac{3}{4}\) _________ 5\(\frac{3}{8}\)

Answer: 5(3/4) > 5(3/8).

Explanation: In the above-given question, given that, 5(3/4) = 5 x 4. 5 x 4 = 20 + 3/4. 23/4 = 5.7. 5(3/8) = 5 x 8. 5 x 8 = 40 + 3/8. 43/8 = 5.3. 5.7 > 5.3.

b. 5\(\frac{2}{5}\) ________ 5\(\frac{8}{10}\)

Answer: 5(2/5) < 5(8/10).

Explanation: In the above-given question, given that, 5(2/5) = 5 x 5. 5 x 5 = 25 + 2/5. 27/5 = 3.6. 5(8/10) = 5 x 10. 5 x 10 = 50 + 8/10. 58/10 = 5.8. 3.6 < 5.8.

c. 5\(\frac{6}{10}\) _________ \(\frac{27}{5}\)

Answer: 5(6/10) > (27/5).

Explanation: In the above-given question, given that, 5(6/10) = 5 x 10. 5 x 10 = 50 + 6/10. 56/10 = 5.6. 27/5 = 5.4. 5.6 > 5.4.

d. 5\(\frac{2}{3}\) ________ 5\(\frac{9}{15}\)

Answer: 5(2/3) < 5(9/15).

Explanation: In the above-given question, given that, 5(2/3) = 5 x 3. 5 x 3 = 15 + 2/3. 17/3 = 5.6. 5(9/15) = 5 x 15. 5 x 15 = 75 + 9/15. 84/9 = 9.3. 5.6 < 9.3.

e. \(\frac{7}{2}\) ________ \(\frac{7}{2}\)

Answer: (7/2) = (7/2).

Explanation: In the above-given question, given that, 7/2 = 3.5. 7/2 = 3.5. 3.5 = 3.5.

f. \(\frac{12}{3}\) ________ \(\frac{15}{4}\)

Answer: (12/3) = (15/4).

Explanation: In the above-given question, given that, 12/3 = 4. 15/4 = 3.75. 4 > 3.75.

g. \(\frac{22}{5}\) _________ 4\(\frac{2}{7}\)

Answer: (22/5) > 4(2/7).

Explanation: In the above-given question, given that, 22/5 = 4.4. 4(2/7) = 7 x 4 = 28. 28 + 2/7 = 30/7. 30/7 = 4.2. 4.4 > 4.2.

h. \(\frac{21}{4}\) ________ 5\(\frac{2}{5}\)

Answer: (21/4) < 5(2/5).

Explanation: In the above-given question, given that, 21/4 = 5.25. 5(2/5) = 5 x 5 = 25. 25 + 2/5 = 27/5. 27/5 = 5.4. 5.25 < 5.4.

i. \(\frac{29}{8}\) _________ \(\frac{11}{3}\)

Answer: (29/8) = (11/3).

Explanation: In the above-given question, given that, 29/8 = 3.6. 11/3 = 3.6. 3.6 = 3.6.

j. 3\(\frac{3}{4}\) _________ 3\(\frac{4}{7}\)

Answer: 3(3/4) > 3(4/7).

Explanation: In the above-given question, given that, 3(3/4) = 4 x 3. 4 x 3 = 12 + 3/4. 15/4 = 3.75. 3(4/7) = 7 x 3. 7 x 3 = 21 + 4/7. 25/7 = 3.57. 3.75 > 3.57.

Eureka Math Grade 4 Module 5 Lesson 27 Exit Ticket Answer Key

Compare each pair of fractions using >, <, or = using any strategy. Question 1. 4\(\frac{3}{8}\) ________ 4\(\frac{1}{4}\)

Answer: 4(3/8) > 4(1/4).

Explanation: In the above-given question, given that, 4(3/8) = 4 x 8. 8 x 4 = 32 + 3/8. 35/8 = 4.375. 4(1/4) = 4 x 4. 4 x 4 = 16 + 1/4. 17/4 = 4.25. 4.3 > 4.2.

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

Answer: 3(4/5) > 2(2/5).

Explanation: In the above-given question, given that, 3(4/5) = 5 x 3. 5 x 3 = 15 + 4/5. 19/5 = 3.8. 2(2/5) = 5 x 2. 2 x 5 = 10 + 2/5. 12/5 = 2.4. 3.8 > 2.4.

Question 3. 2\(\frac{1}{3}\) ________ 2\(\frac{2}{5}\)

Answer: 2(1/3) < 2(2/5).

Explanation: In the above-given question, given that, 2(1/3) = 2 x 3. 2 x 3 = 6 + 1/3. 7/3 = 2.3. 2(2/5) = 5 x 2. 5 x 2 = 10 + 2/5. 12/5 = 2.4. 2.3 < 2.4.

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

Answer: 10(2/5) < 10(3/4).

Explanation: In the above-given question, given that, 10(2/5) = 5 x 10. 5 x 10 = 50 + 2/5. 52/5 = 10.4. 10(3/4) = 4 x 10. 4 x 10 = 40 + 3/4. 43/4 = 10.75. 10.4 < 10.7.

Eureka Math Grade 4 Module 5 Lesson 27 Homework Answer Key

Question 1. Draw a tape diagram to model each comparison. Use >, <, or = to compare. a. 2\(\frac{3}{4}\) ________ 2\(\frac{7}{8}\)

Answer: 2(3/4) < 2(7/8).

Explanation: In the above-given question, given that, 2(3/4) = 2 x 4. 2 x 4 = 8 + 3/4. 11/4 = 2.75. 2(7/8) = 2 x 8. 2 x 8 = 16 + 7/8. 23/8 = 2.8. 2.75 < 2.8.

b. 10\(\frac{2}{6}\) __________ 10\(\frac{1}{3}\)

Answer: 10(2/6) = 10(1/3).

Explanation: In the above-given question, given that, 10(2/6) = 10 x 6. 10 x 6 = 60 + 2/6. 62/6 = 10.3. 10(1/3) = 3 x 10. 3 x 10 = 30 + 1/3. 31/3 = 10.3. 10.3 = 10.3.

c. 5\(\frac{3}{8}\) ________ 5\(\frac{1}{4}\)

Answer: 5(3/8) > 5(1/4).

Explanation: In the above-given question, given that, 5(3/8) = 5 x 8. 5 x 8 = 40 + 3/8. 43/8 = 5.3. 5(1/4) = 5 x 4. 5 x 4 = 20 + 1/4. 21/4 = 5.25. 5.3 > 5.2.

d. 2\(\frac{5}{9}\) _________ \(\frac{21}{3}\)

Answer: 2(5/9) < (21/3).

Explanation: In the above-given question, given that, 2(5/9) = 2 x 9. 2 x 9 = 18 + 5/9. 23/9 = 2.5. 21/3 = 7. 2.5 < 7.

Question 2. Use an area model to make like units. Then, use >, <, or = to compare. a. 2\(\frac{4}{5}\) ________ \(\frac{11}{4}\)

Answer: 2(4/5) > (11/4).

Explanation: In the above-given question, given that, 2(4/5) = 2 x 5. 2 x 5 = 10 + 4/5. 14/5 = 3.5. 11/4 = 2.75. 3.5 > 2.75.

b. 2\(\frac{3}{5}\) _________ 2\(\frac{2}{3}\)

Answer: 2(3/5) = 2(2/3).

Explanation: In the above-given question, given that, 2(3/5) = 5 x 2. 5 x 2 = 10 + 3/5. 13/5 = 2.6. 2(2/3) = 3 x 2. 3 x 2 = 6 + 2/3. 8/3 = 2.6. 2.6 = 2.6.

Question 3. Compare each pair of fractions using >, <, or = using any strategy. a. 6\(\frac{1}{2}\) _________ 6\(\frac{3}{8}\)

Answer: 6(1/2) > 6(3/8).

Explanation: In the above-given question, given that, 6(1/2) = 6 x 2. 6 x 2 = 12 + 1/2. 13/2 = 6.5. 6(3/8) = 6 x 8. 6 x 8 = 48 + 3/8. 51/8 = 6.3. 6.5 > 6.3.

b. 7\(\frac{5}{6}\) ________ 7\(\frac{11}{12}\)

Answer: 7(5/6) < 7(11/12).

Explanation: In the above-given question, given that, 7(5/6) = 7 x 6. 7 x 6 = 42 + 5/6. 47/6 = 7.8. 7(11/12) = 7 x 12. 7 x 12 = 84 + 11/12. 95/12 = 7.9. 7.8 < 7.9.

c. 3\(\frac{6}{10}\) __________ 3\(\frac{2}{5}\)

Answer: 3(6/10) > 3(2/5).

Explanation: In the above-given question, given that, 3(6/10) = 3 x 10. 3 x 10 = 30 + 6/10. 36/10 = 3.6. 3(2/5) = 3 x 5. 3 x 5 = 15 + 2/5. 17/5 = 3.4. 3.6 > 3.4.

d. 2\(\frac{2}{5}\) _________ 2\(\frac{8}{15}\)

Answer: 2(2/5) < 2(8/15).

Explanation: In the above-given question, given that, 2(2/5) = 5 x 2. 5 x 2 = 10 + 2/5. 12/5 = 2.4. 2(8/15) = 15 x 2. 15 x 2 = 30 + 8/15. 38/15 = 2.5. 2.4  < 2.5.

e. \(\frac{10}{3}\) __________ \(\frac{10}{4}\)

Answer: (10/3) > (10/4).

Explanation: In the above-given question, given that, 10/3 = 3.3. 10/4 = 2.5. 3.3 > 2.5.

f. \(\frac{12}{4}\) ___________ \(\frac{10}{3}\)

Answer: (12/4) = (10/3).

Explanation: In the above-given question, given that, 12/4 = 3. 10/3 = 3.3. 3 < 3.3.

g. \(\frac{38}{9}\) __________ 4\(\frac{2}{12}\)

Answer: 4(2/12) < (38/9).

Explanation: In the above-given question, given that, 4(2/12) = 12 x 4. 12 x 4 = 46 + 2/12. 48/12 = 4. 38/9 = 4.2. 4 < 4.2.

h. \(\frac{23}{4}\) __________ 5\(\frac{2}{3}\)

Answer: 5(2/3) < (23/4).

Explanation: In the above-given question, given that, 5(2/3) = 5 x 3. 5 x 3 = 15 + 2/3. 17/3 = 5.6. 23/4 = 5.75. 5.6 < 5.7.

i. \(\frac{30}{8}\) ____________ 3\(\frac{7}{12}\)

Answer: (30/8) > 3(7/12).

Explanation: In the above-given question, given that, 30/8 = 3.75. 3(7/12) = 12 x 3. 12 x 3 = 36. 36 + 7/12 = 43/12. 43/12 = 3.58. 3.75 > 3.58.

j. 10\(\frac{3}{4}\) ___________ 10\(\frac{4}{6}\)

Answer: 10(3/4) > 10(4/6).

Explanation: In the above-given question, given that, 10(3/4) = 10 x 4. 10 x 4 = 40 + 3/4. 43/4 = 10.75. 10(4/6) = 10 x 6. 10 x 6 = 60 + 4/6. 64/6 = 10.6. 10.7 > 10.6.

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