Eureka Math Grade 5 Module 4 Lesson 13 Answer Key (2024)

Engage NY Eureka Math 5th Grade Module 4 Lesson 13 Answer Key

Eureka Math Grade 5 Module 4 Lesson 13 Problem Set Answer Key

Solve. Draw a rectangular fraction model to show your thinking. Then, write a multiplication sentence. The first one has been done for you.

a. Half of \(\frac{1}{4}\) pan of brownies = \(\frac{1}{4}\) pan of brownies.
\(\frac{1}{2}\) × \(\frac{1}{4}\) = \(\frac{1}{8}\)
Eureka Math Grade 5 Module 4 Lesson 13 Answer Key (1)

b. Half of \(\frac{1}{3}\) pan of brownies = _____ pan of brownies.

Answer:
\(\frac{1}{6}\) pan of brownies.

Explanation:
Given that there is half of \(\frac{1}{3}\) pan of brownies which is \(\frac{1}{2}\) × \(\frac{1}{3}\) = \(\frac{1}{6}\) pan of brownies.

c. A fourth of \(\frac{1}{3}\) pan of brownies = _____ pan of brownies.

Answer:
\(\frac{1}{12}\) pan of brownies.

Explanation:
Given that there is half of \(\frac{1}{3}\) pan of brownies which is \(\frac{1}{4}\) × \(\frac{1}{3}\) = \(\frac{1}{12}\) pan of brownies.

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

Answer:
\(\frac{1}{16}\).

Explanation:
Given that \(\frac{1}{4}\) of \(\frac{1}{4}\) which is \(\frac{1}{4}\) × \(\frac{1}{4}\) = \(\frac{1}{16}\).

e. \(\frac{1}{2}\) of \(\frac{1}{6}\)

Answer:
\(\frac{1}{12}\).

Explanation:
Given that \(\frac{1}{2}\) of \(\frac{1}{6}\) which is \(\frac{1}{2}\) × \(\frac{1}{6}\) = \(\frac{1}{12}\).

Question 2.
Draw rectangular fraction models of 3 × \(\frac{1}{4}\) and \(\frac{1}{3}\) × \(\frac{1}{4}\). Compare multiplying a number by 3 and by 1 third.

Answer:
\(\frac{3}{4}\) > \(\frac{1}{12}\).

Explanation:
Given the equations are 3 × \(\frac{1}{4}\) which is \(\frac{3}{4}\) and \(\frac{1}{3}\) × \(\frac{1}{4}\) which is \(\frac{1}{12}\). And \(\frac{3}{4}\) > \(\frac{1}{12}\).
Eureka Math Grade 5 Module 4 Lesson 13 Answer Key (2) Eureka Math Grade 5 Module 4 Lesson 13 Answer Key (3)

Question 3.
\(\frac{1}{2}\) of Ila’s workspace is covered in paper. \(\frac{1}{3}\) of the paper is covered in yellow sticky notes. What fraction of Ila’s workspace is covered in yellow sticky notes? Draw a picture to support your answer.

Answer:
\(\frac{1}{6}\)

Explanation:
Given that \(\frac{1}{2}\) of Ila’s workspace is covered in paper and \(\frac{1}{3}\) of the paper is covered in yellow sticky notes, so the fraction of Ila’s workspace is covered in yellow sticky notes is \(\frac{1}{2}\) × \(\frac{1}{3}\) which is \(\frac{1}{6}\).

Question 4.
A marching band is rehearsing in rectangular formation. \(\frac{1}{5}\) of the marching band members play percussion instruments. \(\frac{1}{2}\) of the percussionists play the snare drum. What fraction of all the band members play the snare drum?

Answer:
The fraction of all the band members who play the snare drum is \(\frac{1}{10}\).

Explanation:
Given that a \(\frac{1}{5}\) of the marching band members play percussion instruments and \(\frac{1}{2}\) of the percussionists play the snare drum, so the fraction of all the band members play the snare drum is \(\frac{1}{2}\) of \(\frac{1}{5}\) which is \(\frac{1}{2}\) × \(\frac{1}{5}\) = \(\frac{1}{10}\).

Question 5.
Marie is designing a bedspread for her grandson’s new bedroom. \(\frac{2}{3}\) of the bedspread is covered in race cars, and the rest is striped. \(\frac{1}{4}\) of the stripes are red. What fraction of the bedspread is covered in red stripes?

Answer:
The fraction of the bedspread is covered in red stripes is \(\frac{1}{12}\).

Explanation:
Given that \(\frac{2}{3}\) of the bedspread is covered in race cars, and the rest is stripped and \(\frac{1}{4}\) of the stripes are red. The striped bedspread would be 1 – \(\frac{2}{3}\) which is \(\frac{1}{3}\).
So the fraction of the bedspread is covered in red stripes is \(\frac{1}{3}\) × \(\frac{1}{4}\) which is \(\frac{1}{12}\).

Eureka Math Grade 5 Module 4 Lesson 13 Exit Ticket Answer Key

Question 1.
Solve. Draw a rectangular fraction model, and write a number sentence to show your thinking.

\(\frac{1}{3}\) × \(\frac{1}{3}\) =

Answer:
\(\frac{1}{9}\).

Explanation:
Given that \(\frac{1}{3}\) × \(\frac{1}{3}\) which is \(\frac{1}{9}\).

Question 2.
Ms. Sheppard cuts \(\frac{1}{2}\) of a piece of construction paper. She uses \(\frac{1}{6}\) of the piece to make a flower. What fraction of the sheet of paper does she use to make the flower?

Answer:
The fraction of the sheet of paper does she use to make the flower is \(\frac{1}{12}\).

Explanation:
Given that Ms. Sheppard cuts \(\frac{1}{2}\) of a piece of construction paper and she uses \(\frac{1}{6}\) of the piece to make a flower, so the fraction of the sheet of paper does she use to make the flower is \(\frac{1}{2}\) × \(\frac{1}{6}\) which is \(\frac{1}{12}\).

Eureka Math Grade 5 Module 4 Lesson 13 Homework Answer Key

Solve. Draw a rectangular fraction model to show your thinking.

a. Half of \(\frac{1}{2}\) cake = _____ cake.

Answer:
\(\frac{1}{4}\).

Explanation:
Given that half of \(\frac{1}{2}\) cake which is \(\frac{1}{2}\) × \(\frac{1}{2}\) = \(\frac{1}{4}\).

b. One-third of \(\frac{1}{2}\) cake = _____ cake.

Answer:
\(\frac{1}{6}\).

Explanation:
Given that One-third of \(\frac{1}{2}\) cake which is \(\frac{1}{3}\) × \(\frac{1}{2}\) = \(\frac{1}{6}\).

c. \(\frac{1}{4}\) of \(\frac{1}{2}\)

Answer:
\(\frac{1}{8}\).

Explanation:
Given that latex]\frac{1}{4}[/latex] of \(\frac{1}{2}\) which is latex]\frac{1}{4}[/latex] × \(\frac{1}{2}\) = \(\frac{1}{8}\).

d. \(\frac{1}{2}\) × \(\frac{1}{5}\)

Answer:
\(\frac{1}{10}\).

Explanation:
Given that latex]\frac{1}{2}[/latex] of \(\frac{1}{5}\) which is latex]\frac{1}{2}[/latex] × \(\frac{1}{5}\) = \(\frac{1}{10}\).

e. \(\frac{1}{3}\) × \(\frac{1}{3}\)

Answer:
\(\frac{1}{9}\).

Explanation:
Given that latex]\frac{1}{3}[/latex] of \(\frac{1}{3}\) which is latex]\frac{1}{3}[/latex] × \(\frac{1}{3}\) = \(\frac{1}{9}\).

f. \(\frac{1}{4}\) × \(\frac{1}{3}\)

Answer:
\(\frac{1}{12}\).

Explanation:
Given that latex]\frac{1}{4}[/latex] of \(\frac{1}{3}\) which is latex]\frac{1}{4}[/latex] × \(\frac{1}{3}\) = \(\frac{1}{12}\).

Question 2.
Noah mows \(\frac{1}{2}\) of his property and leaves the rest wild. He decides to use \(\frac{1}{5}\) of the wild area for a vegetable garden. What fraction of the property is used for the garden? Draw a picture to support your answer.

Answer:
The fraction of the property is used for the garden is \(\frac{1}{10}\).

Explanation:
Given that Noah mows \(\frac{1}{2}\) of his property and leaves the rest wild and he decides to use \(\frac{1}{5}\) of the wild area for a vegetable garden, so the fraction of the property is used for the garden is \(\frac{1}{2}\) × \(\frac{1}{5}\) which is \(\frac{1}{2}\) × \(\frac{1}{5}\) = \(\frac{1}{10}\).

Question 3.
Fawn plants \(\frac{2}{3}\) of the garden with vegetables. Her son plants the remainder of the garden. He decides to use \(\frac{1}{2}\) of his space to plant flowers, and in the rest, he plants herbs. What fraction of the entire garden is planted in flowers? Draw a picture to support your answer.

Answer:
The fraction of the entire garden is planted in flowers is \(\frac{1}{6}\).

Explanation:
Given that fawn plants \(\frac{2}{3}\) of the garden with vegetables and her son plants the remainder of the garden and he decides to use \(\frac{1}{2}\) of his space to plant flowers, and in the rest, he plants herbs. So her son gets \(\frac{2}{3}\) × \(\frac{1}{2}\) which is \(\frac{1}{3}\). So the fraction of the entire garden is planted in flowers is \(\frac{1}{2}\) × \(\frac{1}{3}\) which is \(\frac{1}{6}\).

Question 4.
Diego eats \(\frac{1}{5}\) of a loaf of bread each day. On Tuesday, Diego eats \(\frac{1}{4}\) of the day’s portion before lunch. What fraction of the whole loaf does Diego eat before lunch on Tuesday? Draw a rectangular fraction model to support your thinking.

Answer:
The fraction of the whole loaf does Diego eat before lunch on Tuesday is \(\frac{1}{20}\).

Explanation:
Given that Diego eats \(\frac{1}{5}\) of a loaf of bread each day and on tuesday, Diego eats \(\frac{1}{4}\) of the day’s portion before lunch. So the fraction of the whole loaf does Diego eat before lunch on Tuesday is \(\frac{1}{5}\) × \(\frac{1}{4}\) which is \(\frac{1}{20}\).

Eureka Math Grade 5 Module 4 Lesson 13 Answer Key (2024)

FAQs

What grade does Eureka math go to? ›

Eureka Math offers a full complement of Prekindergarten through Grade 12 print materials including Teacher Editions, student workbooks, and more. Spanish language editions are available for Grades K–8.

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 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).

What is the purpose of the concept development in Eureka math? ›

The concept development is generally comprised of carefully sequenced problems centered within a specific topic to begin developing mastery via gradual increases in complexity.

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's the hardest math class? ›

1. Real Analysis: This is a rigorous course that focuses on the foundations of real numbers, limits, continuity, differentiation, and integration. It's known for its theoretical, proof-based approach and can be a paradigm shift for students used to computation-heavy math courses.

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.

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

Answer and Explanation:

A yard is three feet, which means that one foot is a third of a yard. The fraction 1/3rd in percentage terms is one divided by three, or . 3333333... repeating, which can be (inexactly) simplified as 33%.

What math is 8th grade level? ›

Eighth-grade math is typically a course in pre-algebra to help prepare students for high school algebra.

What math level is 5th grade? ›

In fifth grade, students focus on adding, subtracting, multiplying, and dividing whole numbers, fractions, and decimals. Your kid will become fluent with computing these types of numbers and understanding the relationship between them. Students should also be able to use these numbers in real-world scenarios.

What is 8th grade advanced math? ›

Students on the advanced math track will take Algebra. This standards-based class covers the second half of Math 8 as well as high school-level Algebra I and is designed to prepare students for geometry in ninth grade. Placement is based on prior grades, teacher recommendations, and district benchmark testing scores.

What grade 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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