Lesson 16 in Module 4 for 5th grade is a crucial step in building strong fraction skills. The main objective is to This method goes beyond rote memorization, helping students visualize problems and truly understand why they are multiplying fractions.

Riverside Elementary School is holding a school-wide election to choose a school color. Five-eighths ( 58five-eighths ) of the votes were for blue, 59five-nineths of the remaining votes were for green, and the remaining votes were for red. a. How many total votes were cast? b. How many votes were for blue? c. How many votes were for green? Step 1: Read and Understand Votes for Blue = 58five-eighths of the total. Votes for Green = 59five-nineths of the rest. Votes for Red = The final Step 2: Draw a Tape Diagram Draw a tape diagram and split it into equal units to represent the total votes. of those units as Blue . This leaves units as the remainder. 59five-nineths of the remaining units, we need to partition each of those remaining units into smaller sub-units. This gives us a total of sub-units making up the remainder. of those sub-units as Green . The remaining sub-units belong to Red , and we know those sub-units equal votes . Step 3: Solve (Write) Solve for Part A (Total Votes): The diagram shows that small sub-units = Since the remainder was split into sub-units, the original large unit is equal to small sub-units. The whole tape diagram had large units. Solve for Part B (Blue Votes): Blue received 58five-eighths of the total. This is large units. Solve for Part C (Green Votes): Green received small sub-units. Eureka math grade 5 module 4 lesson 16 homework

( \frac34 \times 24 ) ✔ Tape diagram: 4 parts, each 6, shade 3 parts ✔ Math: ( \frac3 \times 244 = \frac724 = 18 )

Before diving into the answer key, it is helpful to understand the mathematical strategies students are expected to use:

💡 Key Concept: Multiplying Fractions by Fractions In this lesson, the goal is to find a fraction of a fraction using area models and the standard algorithm (multiplying numerators and denominators). 📝 Homework Solutions Problem 1: Area Models Draw an area model to solve the expressions. 1/3 of 1/4

: If a problem has both feet and inches, or pounds and ounces, convert them to the same unit before calculating. Multiply or Divide

Eureka Math heavily emphasizes visual learning. Drawing a tape diagram helps students visualize that a whole number is being broken down into smaller, fractional parts.

of the remaining piece to his brother. How many inches was the piece he gave to his brother? : 8 inches.

Finding a fraction of a remaining fraction (e.g., finding 13one-third 34three-fourths

Ensure your final answer is simplified to its lowest terms.

Eureka Math Grade 5 Module 4 Lesson 16 Homework focus is on solving multi-step word problems involving fraction-by-fraction multiplication tape diagrams

Read the problem carefully. Is the problem asking for a fraction a fraction? In Lesson 16, almost always yes.

Whenever you see "half of" or "three-quarters of," replace the "of" with a multiplication sign. Simplify Early:

Mention which is causing confusion (e.g., the tape diagram setup or the final multiplication) Eureka math grade 5 module 4 lesson 16 homework

: Tiffany's package limit is 16 pounds. Her books weigh 9 pounds, and other items weigh three-fifths of the books' weight. Calculation pounds. Total weight: : Yes, she can send it because is less than 16. Anthony’s Board : Anthony has an 8-foot board and cuts off three-fourths of it. He gives piece to his brother. one-fourth of 8 feet = 2 feet. of 2 feet = two-thirds of a foot, or Step-by-Step Strategy Draw a Tape Diagram

Mastering the is a crucial milestone for students navigating the complexities of fraction operations. This specific lesson serves as a capstone for the topic, shifting students from abstract calculation to practical execution: solving complex, multi-step word problems using tape diagrams and fraction-by-fraction multiplication .