## Engage NY Eureka Math 3rd Grade Module 5 Lesson 18 Answer Key

### Eureka Math Grade 3 Module 5 Lesson 18 Problem Set Answer Key

Place the two fractions on the number line. Circle the fraction with the distance closest to 0. Then, compare using >, <, or =. The first problem is done for you.
Question 1.

Explanation :
Number line is divided into 4 as the denominator of the numbers is 4 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
$$\frac{1}{4}$$ < $$\frac{3}{4}$$

Question 2.

Explanation :
Number line is divided into 6 as the denominator of the numbers is 6 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
$$\frac{2}{6}$$ < $$\frac{3}{6}$$

Question 3.

Explanation :
Number line is divided into 4 as the denominator of the numbers is 4 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
$$\frac{1}{2}$$ > $$\frac{1}{4}$$

Question 4.

Explanation :
Number line is divided into 6 parts as the denominator of the numbers is 6 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
$$\frac{2}{3}$$ > $$\frac{2}{6}$$

Question 5.

Explanation :
Number line is divided into 8 parts as the denominator of the numbers is 8 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
$$\frac{11}{8}$$ < $$\frac{7}{4}$$

Question 6.
JoAnn and Lupe live straight down the street from their school. JoAnn walks $$\frac{5}{6}$$ miles and Lupe walks $$\frac{7}{8}$$ miles home from school every day. Draw a number line to model how far each girl walks. Who walks the least? Explain how you know using pictures, numbers, and words.

Explanation :
Distance from Joann Home to School = $$\frac{5}{6}$$
Distance from Lupe home to School = $$\frac{7}{8}$$
$$\frac{7}{8}$$ is greater than $$\frac{5}{6}$$
so, $$\frac{5}{6}$$  is lesser than $$\frac{7}{8}$$ .

Question 7.
Cheryl cuts 2 pieces of thread. The blue thread is $$\frac{5}{4}$$ meters long. The red thread is $$\frac{4}{5}$$ meters long. Draw a number line to model the length of each piece of thread. Which piece of thread is shorter? Explain how you know using pictures, numbers, and words.

Explanation :
Length of Blue Thread = $$\frac{5}{4}$$
Length of Red Thread = $$\frac{4}{5}$$
$$\frac{5}{4}$$ > $$\frac{4}{5}$$

Question 8.
Brandon makes homemade spaghetti. He measures 3 noodles. One measures $$\frac{7}{8}$$ feet, the second is $$\frac{7}{4}$$ feet, and the third is $$\frac{4}{2}$$ feet long. Draw a number line to model the length of each piece of spaghetti. Write a number sentence using <, >, or = to compare the pieces. Explain using pictures, numbers, and words.

Explanation :
Length of 1st Noodle = $$\frac{7}{8}$$  feet.
Length of 2nd Noodle = $$\frac{7}{4}$$ feet.
Length of 3rd Noodle = $$\frac{4}{2}$$ feet = 2 .
3 noodles are reprsented in the number line and a vertical Line is drawn from the longest Noodle to compare the shortest noodles as shown in above figure .
$$\frac{7}{8}$$ <  $$\frac{7}{4}$$ < $$\frac{4}{2}$$ .

### Eureka Math Grade 3 Module 5 Lesson 18 Exit Ticket Answer Key

Place the two fractions on the number line. Circle the fraction with the distance closest to 0. Then, compare using >, <, or =.
Question 1.

Explanation :
Number line is divided into 5 parts as the denominator of the numbers is 5 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
$$\frac{3}{5}$$ > $$\frac{1}{5}$$

Question 2.

Explanation :
Number line is divided into 4 parts as the denominator of the numbers is 4 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
$$\frac{1}{2}$$ < $$\frac{3}{4}$$

Question 3.
Mr. Brady draws a fraction on the board. Ken says it’s $$\frac{2}{3}$$, and Dan said it’s $$\frac{3}{2}$$. Do both of these fractions mean the same thing? If not, which fraction is larger? Draw a number line to model $$\frac{2}{3}$$ and $$\frac{3}{2}$$. Use words, pictures, and numbers to explain your comparison.

Explanation :
Fraction said by ken = $$\frac{2}{3}$$,
Fraction said by Dan = $$\frac{3}{2}$$
Both the fractions are represented with different number lines and from the greater number a vertical line is drawn to show the numbers which are least as shown in above figure .

### Eureka Math Grade 3 Module 5 Lesson 18 Homework Answer Key

Place the two fractions on the number line. Circle the fraction with the distance closest to 0. Then, compare using >, <, or =.
Question 1.

Explanation :
Number line is divided into 3 parts as the denominator of the numbers is 3 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
$$\frac{1}{3}$$ < $$\frac{2}{3}$$

Question 2.

Explanation :
Number line is divided into 6 parts as the denominator of the numbers is 6 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
$$\frac{4}{6}$$ > $$\frac{1}{6}$$

Question 3.

Explanation :
Number line is divided into 8 parts as the denominator of the numbers is 8 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
$$\frac{1}{4}$$ > $$\frac{1}{8}$$

Question 4.

Explanation :
Number line is divided into 10 parts as the denominator of the numbers is 10 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
$$\frac{4}{5}$$ < $$\frac{4}{10}$$

Question 5.

Explanation :
Number line is divided into 6 parts as the denominator of the numbers is 6 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
$$\frac{8}{6}$$ < $$\frac{5}{3}$$

Question 6.
Liz and Jay each have a piece of string. Liz’s string is $$\frac{4}{6}$$ yards long, and Jay’s string is $$\frac{5}{7}$$ yards long. Whose string is longer? Draw a number line to model the length of both strings. Explain the comparison using pictures, numbers, and words.

Explanation :
Length of Liz’s string = $$\frac{4}{6}$$
Length of Jay’s string = $$\frac{5}{7}$$
From the above figure we notice that $$\frac{5}{7}$$ is greater than $$\frac{4}{6}$$

Question 7.
In a long jump competition, Wendy jumped $$\frac{9}{10}$$ meters, and Judy jumped $$\frac{10}{9}$$ meters. Draw a number line to model the distance of each girl’s long jump. Who jumped the shorter distance? Explain how you know using pictures, numbers, and words.

Explanation :
Distance covered by Wendy in long jump = $$\frac{9}{10}$$
Distance covered by Judy in long jump = $$\frac{10}{9}$$
From the above figure we notice that $$\frac{10}{9}$$ is greater than $$\frac{9}{10}$$
Wendy jumped shorter distance .

Question 8.
Nikki has 3 pieces of yarn. The first piece is $$\frac{5}{6}$$ feet long, the second piece is $$\frac{5}{3}$$ feet long, and the third piece is $$\frac{3}{2}$$ feet long. She wants to arrange them from the shortest to the longest. Draw a number line to model the length of each piece of yarn. Write a number sentence using <, >, or = to compare the pieces. Explain using pictures, numbers, and words.

Explanation :
Length of First piece = $$\frac{5}{6}$$
Length of second piece = $$\frac{5}{3}$$
Length of third piece = $$\frac{3}{2}$$
3 Yarns are represented in  number lines as shown in above figure .
$$\frac{5}{3}$$ > $$\frac{3}{2}$$ > $$\frac{5}{6}$$ .