## 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

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

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

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

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. $$\frac{3}{5}$$ _____ $$\frac{3}{4}$$

$$\frac{3}{5}$$ __<___ $$\frac{3}{4}$$.

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

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. $$\frac{7}{11}$$ _____ $$\frac{7}{13}$$

$$\frac{7}{11}$$ __>___ $$\frac{7}{13}$$.

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. $$\frac{6}{7}$$ _____ $$\frac{12}{15}$$

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

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. $$\frac{2}{3}$$ _____ $$\frac{5}{6}$$

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

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. $$\frac{3}{4}$$ _____ $$\frac{7}{8}$$

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

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$$\frac{7}{12}$$

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. $$\frac{2}{3}$$ _____ $$\frac{5}{6}$$

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

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. $$\frac{3}{8}$$ _____ $$\frac{1}{4}$$

$$\frac{3}{8}$$ __>__ $$\frac{1}{4}$$.

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. $$\frac{2}{6}$$ _____ $$\frac{5}{12}$$

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

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. $$\frac{8}{9}$$ _____ $$\frac{2}{3}$$

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

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. $$\frac{3}{4}$$ _____ $$\frac{3}{7}$$

$$\frac{3}{4}$$ __<___ $$\frac{3}{7}$$.

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. $$\frac{4}{5}$$ _____ $$\frac{8}{12}$$

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

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. $$\frac{3}{10}$$ _____ $$\frac{3}{5}$$

$$\frac{3}{10}$$ __<___ $$\frac{3}{5}$$.

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. $$\frac{2}{3}$$ _____ $$\frac{11}{15}$$

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

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. $$\frac{3}{4}$$ _____ $$\frac{11}{12}$$

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

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. $$\frac{7}{3}$$ _____ $$\frac{7}{4}$$

$$\frac{7}{3}$$ __>___ $$\frac{7}{4}$$.

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$$\frac{2}{9}$$

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

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$$\frac{4}{7}$$

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. 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:
$$\frac{2}{5}$$ ________ $$\frac{3}{10}$$

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

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:
$$\frac{4}{3}$$ ________ $$\frac{7}{6}$$

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

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

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

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

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

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. $$\frac{3}{6}$$ __________ $$\frac{3}{7}$$

$$\frac{3}{6}$$ __>___ $$\frac{3}{7}$$.

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. $$\frac{3}{11}$$ _________ $$\frac{3}{13}$$

$$\frac{3}{11}$$ __>___ $$\frac{3}{13}$$.

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. $$\frac{5}{7}$$ _________ $$\frac{10}{13}$$

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

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. $$\frac{3}{11}$$ ______ $$\frac{3}{13}$$

$$\frac{3}{11}$$ __>___ $$\frac{3}{13}$$.

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. $$\frac{5}{7}$$ _______ $$\frac{10}{13}$$

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

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. $$\frac{3}{4}$$ _________ $$\frac{7}{12}$$

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

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. $$\frac{2}{4}$$ ___________ $$\frac{1}{8}$$

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

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$$\frac{3}{5}$$

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

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. $$\frac{3}{4}$$ _________ $$\frac{5}{8}$$

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

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. $$\frac{11}{12}$$ _________ $$\frac{3}{4}$$

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

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. $$\frac{4}{5}$$ _________ $$\frac{7}{10}$$

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

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. $$\frac{8}{9}$$ _________ $$\frac{2}{3}$$

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

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. $$\frac{1}{7}$$ ________ $$\frac{2}{7}$$

$$\frac{1}{7}$$ __<___ $$\frac{2}{7}$$.

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. $$\frac{5}{7}$$ _______ $$\frac{11}{14}$$

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

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. $$\frac{7}{10}$$ _________ $$\frac{3}{5}$$

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

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. $$\frac{2}{3}$$ ________ $$\frac{9}{15}$$

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

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. $$\frac{3}{4}$$ _________ $$\frac{9}{12}$$

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

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. $$\frac{5}{3}$$ ________ $$\frac{5}{2}$$

$$\frac{5}{3}$$ __<___ $$\frac{5}{2}$$.

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.

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

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.