Eureka Math Grade 5 Module 4 Lesson 14 Answer Key (2024)

Table of Contents

Engage NY Eureka Math 5th Grade Module 4 Lesson 14 Answer Key Eureka Math Grade 5 Module 4 Lesson 14 Sprint Answer Key Eureka Math Grade 5 Module 4 Lesson 14 Problem Set Answer Key Eureka Math Grade 5 Module 4 Lesson 14 Exit Ticket Answer Key Eureka Math Grade 5 Module 4 Lesson 14 Homework Answer Key FAQs References

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

Eureka Math Grade 5 Module 4 Lesson 14 Sprint Answer Key

A
Multiply a Fraction and a Whole Number

Question 1.
\(\frac{1}{5}\) × 2 =

Answer:
\(\frac{2}{5}\)

Explanation:
The multiplication of \(\frac{1}{5}\) × 2 is \(\frac{2}{5}\).

Question 2.
\(\frac{1}{5}\) × 3 =

Answer:
\(\frac{3}{5}\)

Explanation:
The multiplication of \(\frac{1}{5}\) × 3 is \(\frac{3}{5}\).

Question 3.
\(\frac{1}{5}\) × 4 =

Answer:
\(\frac{4}{5}\)

Explanation:
The multiplication of \(\frac{1}{5}\) × 4 is \(\frac{4}{5}\).

Question 4.
4 × \(\frac{1}{5}\) =

Answer:
\(\frac{4}{5}\)

Explanation:
The multiplication of \(\frac{1}{5}\) × 4 is \(\frac{4}{5}\).

Question 5.
\(\frac{1}{8}\) × 3 =

Answer:
\(\frac{3}{8}\)

Explanation:
The multiplication of \(\frac{1}{8}\) × 3 is \(\frac{3}{8}\).

Question 6.
\(\frac{1}{8}\) × 5 =

Answer:
\(\frac{5}{8}\)

Explanation:
The multiplication of \(\frac{1}{8}\) × 5 is \(\frac{5}{8}\).

Question 7.
\(\frac{1}{8}\) × 7 =

Answer:
\(\frac{7}{8}\)

Explanation:
The multiplication of \(\frac{1}{8}\) × 7 is \(\frac{7}{8}\).

Question 8.
7 × \(\frac{1}{8}\) =

Answer:
\(\frac{7}{8}\)

Explanation:
The multiplication of \(\frac{1}{8}\) × 7 is \(\frac{7}{8}\).

Question 9.
3 × \(\frac{1}{10}\) =

Answer:
\(\frac{3}{10}\)

Explanation:
The multiplication of \(\frac{1}{10}\) × 3 is \(\frac{3}{10}\).

Question 10.
7 × \(\frac{1}{10}\) =

Answer:
\(\frac{7}{10}\)

Explanation:
The multiplication of \(\frac{1}{10}\) × 7 is \(\frac{7}{10}\).

Question 11.
\(\frac{1}{10}\) × 7 =

Answer:
\(\frac{7}{10}\)

Explanation:
The multiplication of \(\frac{1}{10}\) × 7 is \(\frac{7}{10}\).

Question 12.
4 ÷ 2 =

Answer:
4 ÷ 2 = 2

Explanation:
The division of 4 ÷ 2 is 2.

Question 13.
4 × \(\frac{1}{2}\) =

Answer:
4 × \(\frac{1}{2}\) = 2

Explanation:
The multiplication of 4 × \(\frac{1}{2}\) is 2.

Question 14.
6 ÷ 3 =

Answer:
6 ÷ 3 = 2

Explanation:
The division of 6 ÷ 3 is 2.

Question 15.
\(\frac{1}{3}\) × 6 =

Answer:
\(\frac{1}{3}\) × 6 = 2.

Explanation:
The multiplication of \(\frac{1}{3}\) × 6 is 2.

Question 16.
10 ÷ 5 =

Answer:
10 ÷ 5 = 2.

Explanation:
The division of 10 ÷ 5 is 2.

Question 17.
10 × \(\frac{1}{5}\) =

Answer:
10 × \(\frac{1}{5}\) = 2.

Explanation:
The multiplication of 10 × \(\frac{1}{5}\) is 2.

Question 18.
\(\frac{1}{3}\) × 9 =

Answer:
\(\frac{1}{3}\) × 9 = 3.

Explanation:
The multiplication of \(\frac{1}{3}\) × 9 is 3.

Question 19.
\(\frac{2}{3}\) × 9 =

Answer:
\(\frac{2}{3}\) × 9 = 6.

Explanation:
The multiplication of \(\frac{2}{3}\) × 9 is 6.

Question 20.
\(\frac{1}{4}\) × 8 =

Answer:
\(\frac{1}{4}\) × 8 = 2.

Explanation:
The multiplication of \(\frac{1}{4}\) × 8 is 2.

Question 21.
\(\frac{3}{4}\) × 8 =

Answer:
\(\frac{3}{4}\) × 8 = 6.

Explanation:
The multiplication of \(\frac{3}{4}\) × 8 is 6.

Question 22.
\(\frac{1}{6}\) × 12 =

Answer:
\(\frac{1}{6}\) × 12 = 2.

Explanation:
The multiplication of \(\frac{1}{6}\) × 12 is 2.

Question 23.
\(\frac{5}{6}\) × 12 =

Answer:
\(\frac{5}{6}\) × 12 = 10.

Explanation:
The multiplication of \(\frac{5}{6}\) × 12 is 10.

Question 24.
\(\frac{1}{3}\) × 15 =

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

Question 1.
Solve. Draw a rectangular fraction model to explain your thinking. Then, write a number sentence. An example has been done for you.
Example:

a. \(\frac{1}{3}\) of \(\frac{3}{4}\) = \(\frac{1}{3}\) of ____ fourth(s) = ____ fourth(s)

Answer:
3, 1.

Explanation:
Given that \(\frac{1}{3}\) of \(\frac{3}{4}\) = \(\frac{1}{4}\), so \(\frac{1}{3}\) of 3 fourth(s) = 1 fourth(s)

b. \(\frac{1}{2}\) of \(\frac{4}{5}\) = \(\frac{1}{2}\) of ____ fifth(s) = ____ fifth(s)

c. \(\frac{1}{2}\) of \(\frac{2}{2}\) =

d. \(\frac{2}{3}\) of \(\frac{1}{2}\) =

e. \(\frac{1}{2}\) × \(\frac{3}{5}\) =

f. \(\frac{2}{3}\) × \(\frac{1}{4}\) =

Question 2.
\(\frac{5}{8}\) of the songs on Harrison’s music player are hip-hop. \(\frac{1}{3}\) of the remaining songs are rhythm and blues. What fraction of all the songs are rhythm and blues? Use a tape diagram to solve.

Question 3.
Three-fifths of the students in a room are girls. One-third of the girls have blond hair. One-half of the boys have brown hair.
a. What fraction of all the students are girls with blond hair?

b. What fraction of all the students are boys without brown hair?

Question 4.
Cody and Sam mowed the yard on Saturday. Dad told Cody to mow \(\frac{1}{4}\) of the yard. He told Sam to mow \(\frac{1}{3}\) of the remainder of the yard. Dad paid each of the boys an equal amount. Sam said, “Dad, that’s not fair! I had to mow one-third, and Cody only mowed one-fourth!” Explain to Sam the error in his thinking. Draw a picture to support your reasoning.

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

Question 1.
Solve. Draw a rectangular fraction model to explain your thinking. Then, write a number sentence.
\(\frac{1}{3}\) of \(\frac{3}{7}\) =

Question 2.
In a cookie jar, \(\frac{1}{4}\) of the cookies are chocolate chip, and \(\frac{1}{2}\) of the rest are peanut butter. What fraction of all the cookies is peanut butter?

Eureka Math Grade 5 Module 4 Lesson 14 Homework Answer Key

Question 1.
Solve. Draw a rectangular fraction model to explain your thinking.
a. \(\frac{1}{2}\) of \(\frac{2}{3}\) = \(\frac{1}{2}\) of ____ third(s) = ____ third(s)

b. \(\frac{1}{2}\) of \(\frac{4}{3}\) = \(\frac{1}{2}\) of ____ third(s) = ____ third(s)

c. \(\frac{1}{3}\) of \(\frac{3}{5}\) =

d. \(\frac{1}{2}\) of \(\frac{6}{8}\) =

e. \(\frac{1}{3}\) × \(\frac{4}{5}\) =

f. \(\frac{4}{5}\) × \(\frac{1}{3}\) =

Question 2.
Sarah has a photography blog. \(\frac{3}{7}\) of her photos are of nature. \(\frac{1}{4}\) of the rest are of her friends. What fraction of all of Sarah’s photos is of her friends? Support your answer with a model.

Question 3.
At Laurita’s Bakery, \(\frac{3}{5}\) of the baked goods are pies, and the rest are cakes. \(\frac{1}{3}\) of the pies are coconut. 1/6 of the cakes are angel food.
a. What fraction of all of the baked goods at Laurita’s Bakery are coconut pies?

b. What fraction of all of the baked goods at Laurita’s Bakery are angel food cakes?

Question 4.
Grandpa Mick opened a pint of ice cream. He gave his youngest grandchild \(\frac{1}{5}\) of the ice cream and his middle grandchild \(\frac{1}{4}\) of the remaining ice cream. Then, he gave his oldest grandchild \(\frac{1}{3}\) of the ice cream that was left after serving the others.
a. Who got the most ice cream? How do you know? Draw a picture to support your reasoning.

b. What fraction of the pint of ice cream will be left if Grandpa Mick serves himself the same amount as the second grandchild?

Eureka Math Grade 5 Module 4 Lesson 14 Answer Key (2024)

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.

Know More ›

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

A Story of Units (Grades PK-5)

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).

View Details ›

What is the Eureka math process? ›

Eureka Math introduces students to a systematic approach to problem solving: Read, Draw, Write (RDW). This approach requires students to draw and label models to reason abstractly and quantitatively about the relationships in the problem and to attend to precision in modeling and solving the equation.

See Details ›

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.

Get More Info Here ›

What is the hardest school math? ›

Generally speaking, the most rigorous math courses in high school include Advanced Placement (AP) Calculus AB and BC, AP Statistics, and for some, Multivariable Calculus (which might be offered at your school or at a local college).

Discover More ›

What fraction of 1 yard is 3 in? ›

Expert-Verified Answer

For a question like this, the measures need to have the same units. It is convenient to use inches. A yard is 36 inches, so the fraction is ... 3 inches is 1/12 of a yard.

How do you calculate trim for a house? ›

How Much Trim Should I Buy?

Calculate the wall length of each room in linear feet or inches.
Subtract the measurement of any entrances, closets, and doors.
If you calculated in inches, convert to linear feet.
Do this for each room in the house.
Add the total in linear feet together.
Add a minimum of 10% for overages.

More items...

Oct 7, 2022

Get More Info ›

Is Eureka Math scripted? ›

Eureka Math is scripted for the teacher and anticipates student responses, which is very useful for studying in advance. This makes each module easy to follow and easy to understand what is expected.

Show Me More ›

How many states use Eureka math? ›

We wrote EngageNY Math, and over time we developed that program into Eureka Math. The original OER curriculum is available on the EngageNY and Great Minds sites for free, and it has been downloaded over 13 million times by users in all 50 states, making Eureka Math the most widely used K–5 math program in the country.

Discover More Details ›

Is Eureka math common core math? ›

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.

Find Out More ›

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.

Discover More Details ›

Is Eureka Math a good curriculum? ›

Positive Eureka Math reviews tend to focus on the fact that the curriculum is 100% aligned to State Standards, provides easy to teach lesson plans that reduce time in test prep, and improves testing scores.

Discover More Details ›

Who made Eureka math? ›

ABOUT EUREKA MATH Created by the nonprofit Great Minds, Eureka Math helps teachers deliver unparalleled math instruction that provides students with a deep understanding and fluency in math.

Tell Me More ›

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.

Explore More ›

What grade does go math go up to? ›

What Ages Or Grades is Go Math Intended For? Go Math is intended for students in K-8 and the standards-aligned program ultimately covers everything from basic numeracy to geometry and statistics.

Get More Info Here ›

What is 8th grade advanced math? ›

Eighth graders who score proficient or advanced are considered to have mastered concepts such as number sense and operations; expressions, equations, and inequalities; functions; geometry and measurement; and data, analysis, and statistics.

See Details ›

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.

Show Me More ›