## Engage NY Eureka Math 4th Grade Module 5 Lesson 14 Answer Key

### Eureka Math Grade 4 Module 5 Lesson 14 Problem Set Answer Key

Question 1.

Compare the pairs of fractions by reasoning about the size of the units. Use >, <, or =.

a. 1 fourth _____ 1 fifth

Answer:

1 fourth = 1 fifth.

Explanation:

In the above-given question,

given that,

compare the pairs of fractions by reasoning about the size of the units.

1 fourth = 1/4.

1/4 = 0.25.

1 fifth = 1/5.

1/5 = 0.2.

0.25 = 0.2.

1/4 = 1/5.

b. 3 fourths _____ 3 fifths

Answer:

3 fourths > 3 fifths.

Explanation:

In the above-given question,

given that,

compare the pairs of fractions by reasoning about the size of the units.

3 fourths = 3/4.

3/4 = 0.75.

3 fifths = 3/5.

3/5 = 0.6.

0.75 > 0.6.

3/4 > 3/5.

c. 1 tenth __>___ 1 twelfth

Answer:

1 tenth > 1 twelfth.

Explanation:

In the above-given question,

given that,

compare the pairs of fractions by reasoning about the size of the units.

1 tenth = 1/10.

1/10 = 0.1.

1 twelfth = 1/12.

1/12 = 0.083.

0.1 > 0.08.

1/10 > 1/12.

d. 7 tenths _____ 7 twelfths

Answer:

7 tenths > 7 twelfths

Explanation:

In the above-given question,

given that,

compare the pairs of fractions by reasoning about the size of the units.

7 tenths = 7/10.

7/10 = 0.7.

7 twelfths = 7/12.

7/12 = 0.58.

0.7 > 0.58.

7/10 > 7/12.

Question 2.

Compare by reasoning about the following pairs of fractions with the same or related numerators.

Use >, <, or =. Explain your thinking using words, pictures, or numbers. Problem 2(b) has been done for you.

a. \(\frac{3}{5}\) _____ \(\frac{3}{4}\)

Answer:

\(\frac{3}{5}\) __<___ \(\frac{3}{4}\).

Explanation:

In the above-given question,

given that,

\(\frac{3}{5}\).

3/5 = 3 fifths.

3/5 = 0.6.

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

3/4 = 3 fourths.

3/4 = 0.75.

0.6 < 0.75.

3 fifths are less than 3 fourths.

3/5 < 3/4.

b. \(\frac{2}{5}\) < \(\frac{4}{9}\) because \(\frac{2}{5}\) = \(\frac{4}{10}\)

4 tenths is less than 4 ninths because tenths are smaller than ninths.

Answer:

\(\frac{2}{5}\) __>___ \(\frac{4}{9}\).

Explanation:

In the above-given question,

given that,

\(\frac{2}{5}\).

2/5 = 2 fifths.

2/5 = 0.4.

\(\frac{4}{9}\).

4/9 = 4 ninths.

4/9 = 0.11.

0.4 > 0.11.

2 fifths are greater than 4 ninths.

2/5 > 4/9.

c. \(\frac{7}{11}\) _____ \(\frac{7}{13}\)

Answer:

\(\frac{7}{11}\) __>___ \(\frac{7}{13}\).

Explanation:

In the above-given question,

given that,

\(\frac{7}{11}\).

7/11 = 7 elevenths.

7/11 = 0.63.

\(\frac{7}{13}\).

7/13 = 7 thirteens.

7/13 = 0.53.

0.6 > 0.5.

7 thirteens are less than 7 elevenths.

7/11 > 7/13.

d. \(\frac{6}{7}\) _____ \(\frac{12}{15}\)

Answer:

\(\frac{6}{7}\) __<___ \(\frac{12}{15}\).

Explanation:

In the above-given question,

given that,

\(\frac{6}{7}\).

6/7 = 6 sevenths.

6/7 = 0.85.

\(\frac{2}{15}\).

2/15 = 2 fifteenths.

2/15 = 0.13.

0.8 < 0.13.

6 sevenths are less than 12 fifteenths.

6/7 < 12/15.

Question 3.

Draw two tape diagrams to model each pair of the following fractions with related denominators.

Use >, <, or = to compare.

a. \(\frac{2}{3}\) _____ \(\frac{5}{6}\)

Answer:

\(\frac{2}{3}\) __<___ \(\frac{5}{6}\).

Explanation:

In the above-given question,

given that,

\(\frac{2}{3}\).

2/3 = 2 thirds.

2/3 = 0.6.

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

5/6 = 5 sixths.

5/6 = 0.83.

0.6 < 0.83.

2 thirds are less than 5 sixths.

2/3 < 5/6.

b. \(\frac{3}{4}\) _____ \(\frac{7}{8}\)

Answer:

\(\frac{3}{4}\) __<___ \(\frac{7}{8}\).

Explanation:

In the above-given question,

given that,

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

3/4 = 3 fourths.

3/4 = 0.6.

\(\frac{7}{8}\).

7/8 = 7 eighths.

7/8 = 0.87.

0.6 < 0.8.

3 fourths are less than 7 eighths.

3/4 < 7/8.

c. 1\(\frac{3}{4}\) _____ 1\(\frac{7}{12}\)

Answer:

1\(\frac{3}{4}\) __>___ 1\(\frac{7}{12}\).

Explanation:

In the above-given question,

given that,

1\(\frac{3}{4}\).

1 (3/4) = 7 fourths.

7/4 = 1.75.

1\(\frac{7}{12}\).

1(7/12) = 19 twelfths.

19/12 = 1.58.

1.75 > 1.58.

3 fourths are greater than 7 twelfths.

3/4 > 7/12.

Question 4.

Draw one number line to model each pair of fractions with related denominators. Use >, <, or = to compare.

a. \(\frac{2}{3}\) _____ \(\frac{5}{6}\)

Answer:

\(\frac{2}{3}\) __<___ \(\frac{5}{6}\).

Explanation:

In the above-given question,

given that,

\(\frac{2}{3}\).

2/3 = 2 thirds.

2/3 = 0.6.

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

5/6 = 5 sixths.

5/6 = 0.83.

0.6 < 0.83.

2 thirds are less than 5 sixths.

2/3 < 5/6.

b. \(\frac{3}{8}\) _____ \(\frac{1}{4}\)

Answer:

\(\frac{3}{8}\) __>__ \(\frac{1}{4}\).

Explanation:

In the above-given question,

given that,

\(\frac{3}{8}\).

3/8 = 3 eights.

3/8 = 0.37.

\(\frac{1}{4}\).

1/4 = 1 fourths.

1/4 = 0.25.

0.37 > 0.25.

3 eights are greater than 1 fourth.

3/8 > 1/4.

c. \(\frac{2}{6}\) _____ \(\frac{5}{12}\)

Answer:

\(\frac{2}{6}\) __<___ \(\frac{5}{12}\).

Explanation:

In the above-given question,

given that,

\(\frac{2}{6}\).

2/6 = 2 sixths.

2/6 = 0.33.

\(\frac{5}{12}\).

5/12 = 5 twelfths.

5/12 = 0.41.

0.33 < 0.41.

2 sixths are less than 5 twelfths.

2/6 < 5/12.

d. \(\frac{8}{9}\) _____ \(\frac{2}{3}\)

Answer:

\(\frac{8}{9}\) __>___ \(\frac{2}{3}\).

Explanation:

In the above-given question,

given that,

\(\frac{8}{9}\).

8/9 = 8 ninths.

8/9 = 0.88.

\(\frac{2}{3}\).

2/3 = 2 thirds.

2/3 = 0.66.

0.88 > 0.66.

8 ninths are greater than 2 thirds.

8/9 > 2/9.

Question 5.

Compare each pair of fractions using >, <, or =. Draw a model if you choose to.

a. \(\frac{3}{4}\) _____ \(\frac{3}{7}\)

Answer:

\(\frac{3}{4}\) __<___ \(\frac{3}{7}\).

Explanation:

In the above-given question,

given that,

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

3/4 = 3 fourths.

3/4 = 0.75.

\(\frac{3}{7}\).

3/7 = 3 sevenths.

3/7 = 0.42.

0.75 > 0.42.

3 fourths are greater than 3 sevenths.

3/4 > 3/7.

b. \(\frac{4}{5}\) _____ \(\frac{8}{12}\)

Answer:

\(\frac{4}{5}\) __<___ \(\frac{8}{12}\).

Explanation:

In the above-given question,

given that,

\(\frac{4}{5}\).

4/5 = 4 fifths.

4/5 = 0.8.

\(\frac{8}{12}\).

8/12 = 8 twelfths.

8/12 = 0.66.

0.8 > 0.6.

4 fifths are greater than 8 twelfths.

4/5 > 8/12.

c. \(\frac{3}{10}\) _____ \(\frac{3}{5}\)

Answer:

\(\frac{3}{10}\) __<___ \(\frac{3}{5}\).

Explanation:

In the above-given question,

given that,

\(\frac{3}{10}\).

3/10 = 3 tenths.

3/10 = 0.3.

\(\frac{3}{5}\).

3/5 = 3 fifths.

3/5 = 0.6.

0.3 < 0.6.

3 tenths are less than 3 fifths.

3/10 < 3/5.

d. \(\frac{2}{3}\) _____ \(\frac{11}{15}\)

Answer:

\(\frac{2}{3}\) __<___ \(\frac{11}{15}\).

Explanation:

In the above-given question,

given that,

\(\frac{2}{3}\).

2/3 = 2 thirds.

2/3 = 0.6.

\(\frac{11}{15}\).

11/15 = 11 fifteenths.

11/15 = 0.73.

0.6 < 0.73.

2 thirds are less than 11 fifteenths.

2/3 < 11/15.

e. \(\frac{3}{4}\) _____ \(\frac{11}{12}\)

Answer:

\(\frac{3}{4}\) __<___ \(\frac{11}{12}\).

Explanation:

In the above-given question,

given that,

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

3/4 = 3 fourths.

3/4 = 0.6.

\(\frac{11}{12}\).

11/12 = 11 twelfths.

11/12 = 0.91.

0.6 < 0.91

3 fourths are less than 11 twelths.

3/4 < 11/12.

f. \(\frac{7}{3}\) _____ \(\frac{7}{4}\)

Answer:

\(\frac{7}{3}\) __>___ \(\frac{7}{4}\).

Explanation:

In the above-given question,

given that,

\(\frac{7}{3}\).

7/3 = 7 thirds.

7/3 = 2.33.

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

7/4 = 7 fourths.

7/4 = 1.75.

2.33 > 1.75.

7 thirds are greater than 7 fourths.

7/3 < 7/4.

g. 1\(\frac{1}{3}\) _____ 1\(\frac{2}{9}\)

Answer:

\(\frac{1}{3}\) __<___ \(\frac{2}{9}\).

Explanation:

In the above-given question,

given that,

\(\frac{1}{3}\).

1/3 = 1 thirds.

1/3 = 0.33.

\(\frac{2}{9}\).

2/9 = 2 ninths.

2/9 = 0.22.

0.33 > 0.22.

1 third is greater than 2 ninths.

1/3 > 2/9.

h. 1\(\frac{2}{3}\) _____ 1\(\frac{4}{7}\)

Answer:

1\(\frac{2}{3}\) __>___ 1\(\frac{4}{7}\).

Explanation:

In the above-given question,

given that,

1\(\frac{2}{3}\).

1(2/3) = 5 thirds.

5/3 = 1.66.

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

1(4/7) = 11 sevenths.

11/7 = 1.57.

1.66 > 1.57.

5 thirds are greater than 11 sevenths.

5/3 > 11/7.

Question 6.

Timmy drew the picture to the right and claimed that \(\frac{2}{3}\) is less than \(\frac{7}{12}\). Evan says he thinks \(\frac{2}{3}\) is greater than \(\frac{7}{12}\). Who is correct? Support your answer with a picture.

Answer:

Evan is correct.

\(\frac{2}{3}\) __>__ \(\frac{7}{12}\).

Explanation:

In the above-given question,

given that,

\(\frac{2}{3}\).

2/3 = 2 thirds.

2/3 = 0.6.

\(\frac{7}{12}\).

7/12 = 7 twelfths.

7/12 = 0.58.

0.6 > 0.58.

2 thirds are greater than 7 twelfths.

2/3 > 7/12.

### Eureka Math Grade 4 Module 5 Lesson 14 Exit Ticket Answer Key

Question 1.

Draw tape diagrams to compare the following fractions:

\(\frac{2}{5}\) ________ \(\frac{3}{10}\)

Answer:

\(\frac{2}{5}\) __>___ \(\frac{3}{10}\).

Explanation:

In the above-given question,

given that,

\(\frac{2}{5}\).

2/5 = 2 fifths.

2/5 = 0.4.

\(\frac{3}{10}\).

3/10 = 3 tenths.

3/10 = 0.3.

0.4 > 0.3.

2 fifths are greater than 3 tenths.

2/5 > 3/10.

Question 2.

Use a number line to compare the following fractions:

\(\frac{4}{3}\) ________ \(\frac{7}{6}\)

Answer:

\(\frac{4}{3}\) __>___ \(\frac{7}{6}\).

Explanation:

In the above-given question,

given that,

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

4/3 = 4 thirds.

4/3 = 1.33.

\(\frac{7}{6}\).

7/6 = 7 sixths.

7/6 = 1.16.

1.33 > 1.16.

4 thirds are greater than 7 sixths.

4/3 > 7/6.

### Eureka Math Grade 4 Module 5 Lesson 14 Homework Answer Key

Question 1.

Compare the pairs of fractions by reasoning about the size of the units. Use >, <, or =.

a. 1 third _____ 1 sixth

Answer:

1 third > 1 sixth.

Explanation:

In the above-given question,

given that,

compare the pairs of fractions by reasoning about the size of the units.

1 third = 1/3.

1/3 = 0.33.

1 sixth = 1/6.

1/6 = 0.1.

0.33 > 0.1.

1/3 > 1/6.

b. 2 halves _____ 2 thirds

Answer:

2 halves = 2 thirds.

Explanation:

In the above-given question,

given that,

compare the pairs of fractions by reasoning about the size of the units.

2 halves = 2/2.

2/2 = 1.

2 thirds = 2/3.

2/3 = 0.66

1 > 0.66.

2/2 > 2/3.

c. 2 fourths _____ 2 sixths

Answer:

2 fourths > 2 sixths.

Explanation:

In the above-given question,

given that,

compare the pairs of fractions by reasoning about the size of the units.

2 fourths = 2/4.

2/4 = 0.5.

2 sixths = 2/6.

2/6 = 0.33.

0.5 > 0.33.

2/4 > 2/6.

d. 5 eighths _____ 5 tenths

Answer:

5 eights > 5 tenth.

Explanation:

In the above-given question,

given that,

compare the pairs of fractions by reasoning about the size of the units.

5 eights = 5/8.

5/8 = 0.625.

5 tenths = 5/10.

5/10 = 0.5.

0.625 > 0.5.

5/8 > 5/10.

Question 2.

Compare by reasoning about the following pairs of fractions with the same or related numerators.

Use >, <, or =. Explain your thinking using words, pictures, or numbers. Problem 2(b) has been done for you.

a. \(\frac{3}{6}\) __________ \(\frac{3}{7}\)

Answer:

\(\frac{3}{6}\) __>___ \(\frac{3}{7}\).

Explanation:

In the above-given question,

given that,

\(\frac{3}{6}\).

3/6 = 3 sixths.

3/6 = 0.5.

\(\frac{3}{7}\).

3/7 = 3 sevenths.

3/7 = 0.42.

0.5 > 0.42.

3 sixths are greater than 3 sevenths.

3/6 > 3/7.

b. \(\frac{2}{5}\) < \(\frac{4}{9}\) because \(\frac{2}{5}\) = \(\frac{4}{10}\)

4 tenths is less than 4 ninths because tenths are smaller than ninths.

c. \(\frac{3}{11}\) _________ \(\frac{3}{13}\)

Answer:

\(\frac{3}{11}\) __>___ \(\frac{3}{13}\).

Explanation:

In the above-given question,

given that,

\(\frac{3}{11}\).

3/11 = 3 elevenths.

3/11 = 0.27.

\(\frac{3}{13}\).

3/13 = 3 elevenths.

3/13 = 0.23.

0.27 > 0.23.

3 elevenths are greater than 3 thirteens.

3/11 > 3/13.

d. \(\frac{5}{7}\) _________ \(\frac{10}{13}\)

Answer:

\(\frac{5}{7}\) __>___ \(\frac{10}{13}\).

Explanation:

In the above-given question,

given that,

\(\frac{5}{7}\).

5/7 = 5 sevenths.

5/7 = 1.33.

\(\frac{10}{13}\).

10/13 = 10 thirteens.

10/13 = 0.769

1.33 > 0.769.

5 sevenths are greater than 10 thirteens.

5/7 > 10/13.

c. \(\frac{3}{11}\) ______ \(\frac{3}{13}\)

Answer:

\(\frac{3}{11}\) __>___ \(\frac{3}{13}\).

Explanation:

In the above-given question,

given that,

\(\frac{3}{11}\).

3/11 = 3 elevenths.

3/11 = 0.27.

\(\frac{3}{13}\).

3/13 = 3 elevens.

3/13 = 0.23.

0.27 > 0.23.

3 elevens are greater than 3 thirteens.

3/11 > 3/13.

d. \(\frac{5}{7}\) _______ \(\frac{10}{13}\)

Answer:

\(\frac{5}{7}\) __<___ \(\frac{10}{13}\).

Explanation:

In the above-given question,

given that,

\(\frac{5}{7}\).

5/7 = 5 sevens.

4/3 = 1.33.

\(\frac{10}{13}\).

10/13 = 10 thirteens.

10/13 = 3.33

1.33 < 3.33.

5 sevens are greater than 10 thirteens.

5/7 < 10/13.

Question 3.

Draw two tape diagrams to model each pair of the following fractions with related denominators. Use >, <, or = to compare.

a. \(\frac{3}{4}\) _________ \(\frac{7}{12}\)

Answer:

\(\frac{3}{4}\) __>___ \(\frac{7}{12}\).

Explanation:

In the above-given question,

given that,

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

3/4 = 3 fours.

3/4 = 0.75.

\(\frac{7}{12}\).

7/12 = 7 twelves.

7/12 = 0.58.

0.75 > 0.58.

3 fourths are greater than 7 twelves.

3/4 > 7/12.

b. \(\frac{2}{4}\) ___________ \(\frac{1}{8}\)

Answer:

\(\frac{2}{4}\) __>___ \(\frac{1}{8}\).

Explanation:

In the above-given question,

given that,

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

2/4 = 2 fourths.

2/4 = 0.5.

\(\frac{1}{8}\).

1/8 = 1 eights.

1/8 = 0.125.

0.5 > 0.125

2 fourths are greater than 1 eights.

2/34 > 1/8.

c. 1\(\frac{4}{10}\) ________ 1\(\frac{3}{5}\)

Answer:

\(\frac{4}{10}\) __<___ \(\frac{3}{5}\).

Explanation:

In the above-given question,

given that,

\(\frac{4}{10}\).

4/10 = 4 tenths.

4/10 = 0.4.

\(\frac{3}{5}\).

3/5 = 3 fifths.

3/5 = 0.6.

0.4 < 0.6.

4 tens are greater than 3 fives.

4/10 < 3/5.

Question 4.

Draw one number line to model each pair of fractions with related denominators. Use >, <, or = to compare.

a. \(\frac{3}{4}\) _________ \(\frac{5}{8}\)

Answer:

\(\frac{3}{4}\) __>___ \(\frac{5}{8}\).

Explanation:

In the above-given question,

given that,

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

3/4 = 3 fourths.

3/4 = 0.75

\(\frac{5}{8}\).

5/8 = 5 eights.

5/8 = 0.625.

0.75 > 0.625.

3 fourths are greater than 5 eights.

3/4 > 7/6.

b. \(\frac{11}{12}\) _________ \(\frac{3}{4}\)

Answer:

\(\frac{11}{12}\) __>___ \(\frac{3}{4}\).

Explanation:

In the above-given question,

given that,

\(\frac{11}{12}\).

11/12 = 11 twelves.

11/12 = 0.91.

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

3/4 = 3 fourths.

3/4 = 0.75

0.91 > 0.75.

11 twelves are greater than 3 fourths.

11/12 > 3/4.

c. \(\frac{4}{5}\) _________ \(\frac{7}{10}\)

Answer:

\(\frac{4}{5}\) __>___ \(\frac{7}{10}\).

Explanation:

In the above-given question,

given that,

\(\frac{4}{5}\).

4/5 = 4 fifths.

4/5 = 0.8

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

7/10 = 7 tenths.

7/10 = 0.7.

0.8 > 0.7.

4 fifths are greater than 7 tenths.

4/5 > 7/10.

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

Answer:

\(\frac{8}{9}\) __>___ \(\frac{2}{3}\).

Explanation:

In the above-given question,

given that,

\(\frac{8}{9}\).

8/9 = 8 ninths.

8/9 = 0.88.

\(\frac{2}{3}\).

2/3 = 2 thirds.

2/3 = 0.66.

0.88 > 0.66.

8 ninths are greater than 2 thirds.

8/9 > 2/3.

Question 5.

Compare each pair of fractions using >, <, or =. Draw a model if you choose to.

a. \(\frac{1}{7}\) ________ \(\frac{2}{7}\)

Answer:

\(\frac{1}{7}\) __<___ \(\frac{2}{7}\).

Explanation:

In the above-given question,

given that,

\(\frac{1}{7}\).

1/7 = 1 sevenths.

1/37 = 0.027.

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

2/7 = 2 sevenths.

2/8 = 0.25.

1.33 < 1.16.

1 seventh is less than 2 sevenths.

1/7 < 2/7.

b. \(\frac{5}{7}\) _______ \(\frac{11}{14}\)

Answer:

\(\frac{5}{7}\) __>___ \(\frac{11}{14}\).

Explanation:

In the above-given question,

given that,

\(\frac{5}{7}\).

5/3 = 5 thirds.

5/3 = 1.6.

\(\frac{11}{14}\).

11/14 = 11 fourteens.

11/14 = 2.75.

1.6 < 2.75

5 sevens are less than 11 fourteens.

5/7 < 11/14.

c. \(\frac{7}{10}\) _________ \(\frac{3}{5}\)

Answer:

\(\frac{7}{10}\) __>___ \(\frac{3}{5}\).

Explanation:

In the above-given question,

given that,

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

7/10 = 7 tenths.

7/10 = 0.7.

\(\frac{3}{5}\).

3/5 = 3 fifths.

3/5 = 0.6.

0.7 > 0.6.

7 tenths are greater than 3 fifths.

7/10 > 3/5.

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

Answer:

\(\frac{2}{3}\) __=___ \(\frac{9}{15}\).

Explanation:

In the above-given question,

given that,

\(\frac{2}{3}\).

2/3 = 2 thirds.

2/3 = 0.66.

\(\frac{9}{15}\).

9/15 = 9 fifteens.

9/15 = 0.6.

0.66 = 0.6.

2 thirds is equal to 9 fifteens.

2/3 = 9/15.

e. \(\frac{3}{4}\) _________ \(\frac{9}{12}\)

Answer:

\(\frac{3}{4}\) __>___ \(\frac{9}{12}\).

Explanation:

In the above-given question,

given that,

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

3/4 = 3 fourths.

3/4 = 0.75

\(\frac{9}{12}\).

9/12 = 9 twelfths.

9/12 = 0.75.

0.75 = 0.75.

3 fourths are equal to 9 twelfths.

3/4 = 9/12.

f. \(\frac{5}{3}\) ________ \(\frac{5}{2}\)

Answer:

\(\frac{5}{3}\) __<___ \(\frac{5}{2}\).

Explanation:

In the above-given question,

given that,

\(\frac{5}{3}\).

5/3 = 5 thirds.

5/3 = 1.66.

\(\frac{5}{2}\).

5/2 = 5 twos.

5/2 = 2.5.

1.66 < 2.5.

5 thirds less than 5 twos.

5/3 < 5/2.

Question 6.

Simon claims \(\frac{4}{9}\) is greater than \(\frac{1}{3}\). Ted thinks \(\frac{4}{9}\) is less than \(\frac{1}{3}\). Who is correct? Support your answer with a picture.

Answer:

\(\frac{4}{9}\) __>___ \(\frac{1}{3}\).

Explanation:

In the above-given question,

given that,

\(\frac{4}{9}\).

4/9 = 4 nines.

4/9 = 0.44.

\(\frac{1}{3}\).

1/3 = 1 thirds.

1/3 = 0.33.

0.44 > 0.33.

4 nines are greater than 1 third.

4/9 > 1/3.