Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (2024)

Engage NY Eureka Math 4th Grade Module 5 Lesson 2 Answer Key

Eureka Math Grade 4 Module 5 Lesson 2 Problem Set Answer Key

Question 1.
Step 1: Draw and shade a tape diagram of the given fraction.
Step 2: Record the decomposition as a sum of unit fractions.
Step 3: Record the decomposition of the fraction two more ways.
(The first one has been done for you.)
a. \(\frac{5}{8}\)
Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (1)
b. \(\frac{9}{10}\)

Answer:
9/10 = 1/10 + 2/10 + 2/10 + 3/10 + 1/10.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
9/10 = 1/10 + 2/10 + 2/10 + 3/10 + 1/10.
9/10 = 5 /10 + 4 /10 + 1/10.
9/10 = 3/10 + 2/10 + 3/10 + 1/10.
Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (2)

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

Answer:
3/2 = 1/2 + 2/2.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
3/2 = 1/2 + 2/2.
3/2 = 1/2 + 1/2 + 1/2.
Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (3)

Question 2.
Step 1: Draw and shade a tape diagram of the given fraction.
Step 2: Record the decomposition of the fraction in three different ways using number sentences.
a. \(\frac{7}{8}\)

Answer:
7/8 = 1/8 + 2/8 + 2/8 + 1/8 + 1/8.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
7/8 = 1/8 + 2/8 + 2/8 + 1/8 + 1/8.
7/8 = 1 /8 + 4 /10 + 2/8.
7/8 = 1/8 + 2/8 + 3/8 + 1/8.
Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (4)
b. \(\frac{5}{3}\)

Answer:
5/3 = 1/3 + 1/3 + 1/3 + 1/3 + 1/3.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
5/3 = 1/3 + 1/3 + 1/3 + 1/3 + 1/3.
5/3 = 1 /3 + 2/3 + 2/3.
5/3 = 1/3 + 2/3 + 1/3 + 1/3.
Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (5)

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

Answer:
5/7 = 1/7 + 1/7 + 1/7 + 1/7 + 1/7.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
5/7 = 1/7 + 1/7 + 1/7 + 1/7 + 1/7.
5/7 = 1 /7 + 2/7 + 2/7.
5/7 = 1/7 + 1/7 + 2/7 + 1/7.
Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (6)

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

Answer:
4/3 = 1/3 + 1/3 + 1/3 + 1/3.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
4/3 = 1/3 + 1/3 + 1/3 + 1/3.
4/3 = 1 /3 + 2/3 + 1/3.
4/3 = 1/3 + 1/3 + 2/3.
Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (7)

Eureka Math Grade 4 Module 5 Lesson 2 Exit Ticket Answer Key

Step 1: Draw and shade a tape diagram of the given fraction.
Step 2: Record the decomposition of the fraction in three different ways using number sentences.
\(\frac{4}{7}\)

Answer:
4/7 = 1/7 + 1/7 + 1/7 + 1/7.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
4/7 = 1/7 + 1/7 + 1/7 + 1/7.
4/7 = 1 /7 + 2/7 + 1/7.
4/7 = 1/7 + 1/7 + 2/7.

Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (8)

Eureka Math Grade 4 Module 5 Lesson 2 Homework Answer Key

Question 1.
Step 1: Draw and shade a tape diagram of the given fraction.
Step 2: Record the decomposition as a sum of unit fractions.
Step 3: Record the decomposition of the fraction two more ways.
(The first one has been done for you.)
a. \(\frac{5}{6}\)
Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (9)
b. \(\frac{6}{8}\)

Answer:
6/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
6/8 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8.
6/8 = 1 /8 + 2/8 + 2/8 + 1/8.
6/8 = 1/8 + 2/8 + 3/8.
Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (10)

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

Answer:
7/10 = 1/10 + 2/10 + 2/10 + 1/10 + 2/10 + 2/10.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
7/10 = 1/10 + 2/10 + 2/10 + 1/10 + 2/10 + 2/10.
7/10 = 1 /10 + 2/10 + 4/10 + 3/10.
7/10 = 1/10 + 2/10 + 7/10.
Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (11)

Question 2.
Step 1: Draw and shade a tape diagram of the given fraction.
Step 2: Record the decomposition of the fraction in three different ways using number sentences.
a. \(\frac{10}{12}\)

Answer:
10/12 = 1/12 + 2/12 + 3/12 + 1/12 + 2/12 + 1/12.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
10/12 = 1/12 + 2/12 + 3/12 + 1/12 + 2/12 + 1/12.
10/12 = 1 /12 + 2/12 + 4/12 + 3/12.
10/12 = 1/12 + 2/12 + 7/12.

Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (12)
b. \(\frac{5}{4}\)

Answer:
5/4 = 1/4 + 2/4 + 1/4 + 1/4.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
5/4 = 1/4 + 2/4 + 1/4 + 1/4.
5/4 = 1 /4 + 24 + 1/4 + 1/4.
5/4 = 1/4 + 2/4 + 1/4.
Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (13)

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

Answer:
5/6 = 1/6 + 2/6 + 1/6 + 1/6.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
5/6 = 1/6 + 2/6 + 1/6 + 1/6.
5/6 = 1 /6 + 2/6+ 1/6 + 1/6.
5/6 = 1/6 + 2/6 + 2/6.
Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (14)

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

Answer:
5/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4.

Explanation:
In the above-given question,
given that,
draw and shade a tape diagram.
5/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4.
5/4 = 1 /4 + 2/4 + 1/4 + 1/4.
5/4 = 1/4 + 2/4 + 2/4.
Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (15)

Eureka Math Grade 4 Module 5 Lesson 2 Answer Key (2024)

FAQs

What is a good title for vertical tape diagrams? ›

A good title for the vertical tape diagrams is Favorite Recess Activities. I can use the title from the table in Problem 1 as the title for the vertical tape diagrams because they both show the same information, just in different ways. C. Write a multiplication sentence to show the total number of votes for basketball.

What fraction of a yard does Regina buy 24 inches of trim for a craft project? ›

Regina buys 24 inches of trim for a craft project. a. What fraction of a yard does Regina buy? 24 in = 12 yd 36in = lyd s⇒→Lxfr = 24 x 36 xd Regina bays 12/25 yd.

What is a tape diagram for kids? ›

A tape diagram is a drawing that looks like a segment of tape, used to illustrate number relationships. Also known as a strip diagram, bar model, fraction strip, or length model." In practice, a tape diagram in math looks like this... Tape diagrams have become my go-to model when teaching math.

What percent of a yard is a foot in fraction form? ›

Answer and Explanation:

A foot is is 33.3333... % of a yard. A yard is three feet, which means that one foot is a third of a yard.

What is the fraction of 1 foot is of a yard? ›

Now, if we have to convert feet to yards, then 1 foot is equal to 1/3 yards or 0.33 yards.

What is the name of the tape diagram? ›

A strip diagram is a visual model commonly used in elementary grades to aid in solving a problem with known and unknown quantities. A strip diagram can also be known as a bar model, a tape diagram, a fraction strip, a length model, or a part-part-whole model.

What does a tape diagram represent? ›

A tape diagram, also known as a strip diagram or bar model, is a visual representation of a mathematical problem using rectangular bars divided into segments. Each segment within the bar represents a part or fraction of a whole, aiding in the visualization and understanding of numerical relationships.

Why are they called tape diagrams? ›

A tape diagram is a rectangular visual model resembling a piece of tape, that is used to assist with the calculation of ratios and addition, subtraction, and commonly multiplication. It is also known as a divided bar model, fraction strip, length model or strip diagram.

What is a model or drawing that looks like a strip of tape? ›

A tape diagram is a pictorial model students can draw to represent a mathematical relationship or to develop understanding of a math concept. Tape diagrams are useful for solving many different types of math problems but are commonly used with word problems.

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