Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (2025)

May 9, 2021 / By Prasanna

Engage NY Eureka Math 5th Grade Module 3 Lesson 16 Answer Key

Eureka Math Grade 5 Module 3 Lesson 16 Problem Set Answer Key

Question 1.
Draw the following ribbons. When finished, compare your work to your partner’s.
a. 1 ribbon. The piece shown below is only \(\frac{1}{3}\) of the whole. Complete the drawing to show the whole ribbon.
Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (1)
b. 1 ribbon. The piece shown below is \(\frac{4}{5}\) of the whole. Complete the drawing to show the whole ribbon.
Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (2)
c. 2 ribbons, A and B. One third of A is equal to all of B. Draw a picture of the ribbons.
d. 3 ribbons, C, D, and E. C is half the length of D. E is twice as long as D. Draw a picture of the ribbons.
Answer:
a.Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (3)
Explanation :
The below ribbon into 3 parts each part is \(\frac{1}{3}\) of the whole .
b.
Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (4)
Explanation :
The below ribbon into 5 parts each part is \(\frac{1}{5}\) of the whole and\(\frac{4}{5}\) is shaded and shown in the above figure .
c.
Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (5)
Explanation :
Ribbon A is into 3 parts and Each part is \(\frac{1}{3}\) of the whole . and Ribbon B is \(\frac{1}{3}\)of A which is 1 Whole .
d.
Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (6)
Explanation :
C is half the length of D.
E is twice as long as D

Question 2.
Half of Robert’s piece of wire is equal to \(\frac{2}{3}\) of Maria’s wire. The total length of their wires is 10 feet. How much longer is Robert’s wire than Maria’s?
Answer:
length of Robert’s wire = R
Length of Maria’s wire = M
Half Length of Robert’s piece of wire = \(\frac{2}{3}\) Maria’s wire .
\(\frac{R}{2}\) = \(\frac{2}{3}\) M
\(\frac{R}{M}\) = \(\frac{4}{3}\)
3R = 4M
R = \(\frac{4M}{3}\)
R + M = 10 feet .
\(\frac{4M}{3}\) + M = 10 feet .
lcm is 3
4M +3M = 30
7M = 30
M = \(\frac{30}{7}\)
R = \(\frac{4(M)}{3}\) = \(\frac{4}{3}\) × \(\frac{30}{7}\) = \(\frac{40}{7}\) .
Length of Robert wire = \(\frac{40}{7}\)
Length of Maria wire = \(\frac{30}{7}\)
Length of Robert wire more than Maria wire = \(\frac{40}{7}\) – \(\frac{30}{7}\) = \(\frac{10}{7}\) .
Therefore, Robert’s wire is \(\frac{10}{7}\) than Maria’s wire .

Question 3.
Half of Sarah’s wire is equal to \(\frac{2}{5}\) of Daniel’s. Chris has 3 times as much as Sarah. In all, their wire measures 6 ft. How long is Sarah’s wire in feet?
Answer:
Length of Sarah’s wire = S
Length of Daniel’s wire = D
Length of Chris wire = C
Half of Sarah’s wire is equal to \(\frac{2}{5}\) of Daniel’s
\(\frac{S}{2}\) = \(\frac{2D}{5}\)
D = \(\frac{S}{2}\) × \(\frac{5}{2}\) = 5S.
Chris has 3 times as much as Sarah
C = 3S
Total length of wire = 6 ft .
C + D + S = 6
3S + 5S + S = 6
9S = 6
S = \(\frac{6}{9}\) = \(\frac{2}{3}\) feet .
Therefore, Length of Sarah’s wire in feet = \(\frac{2}{3}\) feet .

Eureka Math Grade 5 Module 3 Lesson 16 Exit Ticket Answer Key

Draw the following ribbons.
a. 1 ribbon. The piece shown below is only \(\frac{2}{3}\) of the whole. Complete the drawing to show the whole ribbon.
Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (7)
b. 1 ribbon. The piece shown below is \(\frac{1}{4}\) of the whole. Complete the drawing to show the whole ribbon.
Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (8)
c. 3 ribbons, A, B, and C. 1 third of A is the same length as B. C is half as long as B. Draw a picture of the ribbons.
Answer:
a. Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (9)
Explanation :
The given Ribbon is divided into 3 parts each part is \(\frac{1}{3}\) and \(\frac{2}{3}\) is marked as shown in above figure .
b.
Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (10)
Explanation :
The given Ribbon is divided into 4 parts each part is \(\frac{1}{4}\) .
c.
Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (11)
Explanation :
Length of A = 3B.
Length of C = \(\frac{B}{2}\) .

Eureka Math Grade 5 Module 3 Lesson 16 Homework Answer Key

Draw the following roads.
a. 1 road. The piece shown below is only \(\frac{3}{7}\) of the whole. Complete the drawing to show the whole road.
Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (12)
b. 1 road. The piece shown below is \(\frac{1}{6}\) of the whole. Complete the drawing to show the whole road.
Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (13)
c. 3 roads, A, B, and C. B is three times longer than A. C is twice as long as B. Draw the roads. What fraction of the total length of the roads is the length of A? If Road B is 7 miles longer than Road A, what is the length of Road C?
d. Write your own road problem with 2 or 3 lengths.
Answer:
a.
Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (14)
Explanation :
Ribbon is divided into 7 parts and each part is \(\frac{1}{7}\) and \(\frac{3}{7}\) part is shaded with yellow as shown in above figure .
b.
Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (15)
Explanation :
Ribbon is divided into 6 parts and each part is \(\frac{1}{6}\) .
c.
B is three times longer than A. C is twice as long as B.
Length of Road A = \(\frac{1}{3}\) B
Length of Road B = B
Length of Road C = 2B
Road A = \(\frac{1}{3}\) B
Road B = A + 7 miles . that means \(\frac{2}{3}\) is 7 miles .
Road C = 2B = 2 (3) = \(\frac{6}{3}\) Each \(\frac{2}{3}\) is 7 miles then 3 (7) = 21 miles.
Total parts = 10
Length of Road C = 21 miles .

d.
3 roads P, Q and R. P is twice longer than R . Q is half of P . Total length of the roads are 12 miles . which is the shortest road and its length .

Eureka Math Grade 5 Module 3 Lesson 16 Answer Key (2025)

FAQs

What grade does Eureka math go up to? ›

Eureka Math® is a holistic Prekindergarten through Grade 12 curriculum that carefully sequences mathematical progressions in expertly crafted modules, making math a joy to teach and learn. We provide in-depth professional development, learning materials, and a community of support.

What are the four core components of a Eureka Math TEKS lesson? ›

A typical Eureka lesson is comprised of four critical components: fluency practice, concept development (including a problem set), application problem, and student debrief (including the Exit Ticket).

How was Eureka Math created? ›

In 2012 the New York State Education Department contracted with the organization that would become Great Minds to create an open educational resource (OER) math program for K–12 educators. We wrote EngageNY Math, and over time we developed that program into Eureka Math.

Who wrote Eureka math curriculum? ›

Munson's group, which later changed its name to Great Minds, teamed up with Scott Baldridge, a Louisiana State University math professor who is Eureka's lead writer. They soon won a contract with New York Education Department to create Eureka, or Engage New York.

What is the hardest math in 5th grade? ›

Some of the hardest math problems for fifth graders involve multiplying: multiplying using square models, multiplying fractions and whole numbers using expanded form, and multiplying fractions using number lines.

What is the hardest math grade? ›

The hardest math class you can take in high school is typically AP Calculus BC or IB Math HL. These courses cover a wide range of advanced mathematical concepts, including calculus, trigonometry, and statistics.

What is the Eureka lesson breakdown? ›

Each lesson in A Story of Units is comprised of four critical components: fluency practice, concept development (including the problem set), application problem, and student debrief (including the Exit Ticket).

Is Eureka math based on common core? ›

Eureka Math is a Common Core math. Eureka Math's framework is entirely built on the Common Core Learning Standards and Progressions for the Common Core State Standards in Mathematics.

What are the 4 parts of the TEKS? ›

Explore how the TEKS are organized by Introduction, Knowledge and Skill Statement, Strand, and Student Expectations across a grade level or course. Recognize and differentiate between cognitive and content expectations noted in the TEKS.

Why are schools using Eureka Math? ›

Eureka Math® set a new standard for rigor, coherence, and focus in the classroom so students gain a deeper understanding of the why behind the numbers, all while making math more enjoyable to learn and teach.

What is the difference between Eureka Math and Eureka Math 2? ›

Eureka Math-Squared is the newest version of a math curriculum that EE teachers were already using. The difference, Karsteter explained, is that in the new version being implemented this year, everything is simplified.

Does Khan Academy align with Eureka Math? ›

To access our aligned resources, go to the Courses dropdown menu in the top left corner of your screen and select See all Math. From the Math page you can view all Math courses including the courses aligned to the Eureka Math/EngageNY curriculum.

Are Zearn and Eureka Math the same? ›

Zearn Math K–5 lessons follow the scope and sequence of Eureka Math/EngageNY. All Middle School materials align to Eureka Math/EngageNY on the unit level and may be reordered to directly follow the curriculum's scope and sequence.

What is the newest version of Eureka Math? ›

Eureka Math2 New York Next Gen is fully aligned to the Next Generation Learning Standards and provides the knowledge-building content students need to build a deep, conceptual understanding of mathematics and empowers teachers during instruction to make it happen.

What is the highest level of math in 9th grade? ›

9th grade math usually focuses on Algebra I, but can include other advanced mathematics such as Geometry, Algebra II, Pre-Calculus or Trigonometry.

What is advanced math in 8th grade called? ›

Almost every school district in the state offers an accelerated math option for selected students. These students take Algebra I in 8th grade. These students complete Algebra II, Geometry and Precalculus one year earlier than their peers. This allows them to take AP Calculus A/B in their senior year.

What grade level is go math for? ›

Go Math! (K-6) on Ed is an easy-to-implement core curriculum with an effective instructional approach that includes robust differentiation and assessment resources that engage all levels of learners and support all levels of teachers, from novice to master.

What grade level does prodigy math go up to? ›

Prodigy Math Game features more than 1,500 mathematical skills, aligned with curriculum standards for grades 1 to 8.

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