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

Question 1.
a. Plot the following points on the number line without measuring.
i. 2\(\frac{7}{8}\)
ii. 3\(\frac{1}{6}\)
iii. \(\frac{29}{12}\)
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.

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.
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

Eureka-Math-Grade-4-Module-5-Lesson-26-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).

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.

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

Question 1.
a. Plot the following points on the number line without measuring.
i. 2\(\frac{1}{6}\)
ii. 3\(\frac{3}{4}\)
iii. \(\frac{33}{9}\)
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.

Explanation:
In the above-given question,
given that,
plot the points on the number line.
33/9 = 3.6.
\(\frac{33}{9}\) = 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.

Question 2.
a. Plot the following points on the number line without measuring.
i. \(\frac{65}{8}\)
ii. 8\(\frac{5}{6}\)
iii. \(\frac{29}{4}\)
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.

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

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.

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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