lesson 15 homework 4.5 answer key

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Topic outline, grade 4 module 5, fraction equivalence, ordering, and operations.

Topic A: Decomposition and Fraction Equivalence

Topic b: fraction equivalence using multiplication and division, topic c: fraction comparison.

Topic D: Fraction Addition and Subtraction

Mid-module review, topic e: extending fraction equivalence to fractions greater than 1, topic f: addition and subtraction of fractions by decomposition, topic g: repeated addition of fractions as multiplication, topic h: explore a fraction pattern, end-of-module review.

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Algebra 2 Online Lessons & Videos

Algebra 2 lesson and worksheet pdfs, course syllabus, --- chapter 1 lessons ---, 1.1 real numbers, 1.2 simplifying algebraic expressions & equations, 1.3 solving linear equations, 1.4 solving linear inequalities, 1.5 quadratic equations, 1.6 interpreting word problems, --- chapter 1 homework & worksheets ---.

1.1 Homework: (Click for video) Pg 6: Problem Set 1, 2, 7, 9-11 Pg 9: Problem Set 10, 11, 12, 14

1.2 Homework: (Click for video) Pg 13: Problem Set 4-6 Pg 16: Problem Set 1-3, 6, 9, 10 Pg 20: Problem Set 7, 8

1.3 Homework: (Click for video) Pg 23: Problem Set 4, 12 Pg 26: Problem Set 2, 13 Pg 30: Problem Set 1, 2, 5, 12

1.4 Homework: (Click for video) Pg 34: Problem Set 1, 4 Pg 38: Problem Set 7, 9 Pg 41: Problem Set 7, 11, 13

1.5 Homework: (Click for video) Pg 47: Problem Set 4, 7, 11, 14 Pg 50: Problem Set 4, 6, 10, 12

1.6 Homework: (Click for video) Worksheet

Chapter 1 Review Review Key

--- Chapter 2 Lessons ---

2.1 finding the slope & equation of a line, 2.2 standard form of a line, 2.3 graphing lines, 2.4 relations & functions, 2.5 graphing linear inequalities of two variables, 2.6 graphing absolute value functions, --- chapter 2 homework & worksheets ---.

2.1 Homework: Pg 63: 1-4 Pg 64: 7, 8 Pg 68: 1-3, 9, 10

2.2 Homework: Pg 73: Problem Set 11, 13 Pg 76: Problem Set 1, 3, 6 Pg 80: Problem Set 5, 10, 11

2.3 Homework: Pg 85: Problem Set 1, 6, 13 Pg 88: Problem Set 1, 2, 8, 10

2.4 Homework: Pg 93: Problem Set 1, 2, 5, 6 Pg 94: Problem Set 8-10, 13 Pg 101: Problem Set 1, 2 Pg 102: Problem Set 7, 9

2.5 Homework: Pg 106: 1, 2 Pg 112: 1, 2, 5-7

2.6 Homework: Pg 124-125: Problem Set 5-10

Chapter 2 Test Review Answer Key (Contains all answers except #s 26-28 & 35-41) Answers for 26-28, 35-41

--- Chapter 3 Lessons ---

3.1 solving linear systems by graphing, 3.2 solving linear systems by substitution, 3.3 solving linear systems by elimination, 3.4 graphing and solving linear inequalities, 3.5 solving linear systems in three variables, --- chapter 3 homework & worksheets ---.

3.1 Homework: Pg 163: 5-9 Pg 164: 11

3.2 Homework: Pg 177-178: Problem Set 1-4 Pg 181: Problem Set 5

3.3 Homework: Pg 188: Problem Set 1, 2, 5 Pg 201-202: Problem Set 3, 4, 6, 12

3.4 Homework: Pg 220: Guided Practice 1-4

3.5 Homework: None, See Review for Problems

Word Problems Worksheet Solutions Video

Chapter 3 Review Pt 1 Answer Key

Chapter 3 Review Pt 2 Answer Key

--- Chapter 4 Lessons ---

4.1 operations of matrices, 4.2 matrix multiplication, 4.3 determinants, 4.4 identity and inverse matrices, 4.5 solving linear systems using matrices, --- chapter 4 homework & worksheets ---.

4.1 Homework: Pg 242: Problem Set 1, 3, 4, 10, 11 Pg 246: Problem Set 2, 6

4.2 Homework: Pg 250: Problem Set 1, 2, 6, 7, 8, 11

4.3 Homework: Pg 264: Problem Set 5-8

4.4 Homework: Pg 274-275: Problem Set 2-7

4.5 Homework: Pg 286: 1-3 Pg 291-292: 10-12

Chapter 4 Project: "The Sandwich Project" 2017-2018 Ingredients by Hour

Chapter 3 & 4 Review Material: Test Review Review Key Word Document

--- Chapter 5 Lessons ---

5.1 factoring quadratics:.

Day 1: FOILing and Basic Factoring

Day 2: Slide & Divide Factoring and Squaring a Binomial

Day 3: Solving Quadratics by Factoring

5.2 Solving Quadratics Using Square Roots

5.3 complex numbers:.

Day 1: The Complex Unit i and Basic Complex Operations

Day 2: Complex Conjugates and Dividing Complex Numbers

Day 3: Solving Quadratics with Complex Solutions

5.4 Completing the Square:

Day 1: Completing the Square when a = 1

Day 2: Completing the Square when a =/= 1

5.5 The Quadratic Formula

5.6 graphs of quadratic functions:.

Day 1: Vertex Form and Transformations

Day 2: Standard Form and Finding the Vertex

--- Chapter 5 Homework & Worksheets ---

5.1 Day 1 Homework: Worksheet Worksheet Solutions

5.1 Day 2 Homework: Pg 303: Problem Set 4-8, 11, 13

5.1 Day 3 Homework: Pg 311: Problem Set 1-4, 6, 8

5.2 Homework: Pg 315-316: Problem Set 4, 7, 8 Pg 321: Problem Set 2, 3, 9, 10

5.3 Day 1 Homework: Pg 325: Problem Set 1, 2, 7, 13, 14 Pg 329: Problem Set 2-4

5.3 Day 2 Homework: Pg 329: Problem Set 9, 10, 12-14

5.3 Day 3 Homework: Pg 331: Problem Set 1-7

5.4 Day 1 Homework: Pg 335: Problem Set 1-3 Pg 336: Problem Set 7-10 Written Solutions

5.4 Day 2 Homework: Pg 339: 1-4, 6 Written Solutions

5.5 Homework: Pg 344-45: Problem Set 1-3 Written Solutions

5.6 Day 1 Homework: Worksheet Solutions Video

5.6 Day 2 Homework: Pg 361: Problem Set 1, 2, 4 (Only find the Vertex) Pg 361: Problem Set 5, 6, 9 (Find Vertex & Sketch Graph)

Chapter 5 Test Review: Review Review Key

--- Chapter 6 Lessons ---

6.1 properties of exponents, 6.2 basic polynomial operations, 6.3 factoring and solving polynomials, 6.4 & 6.5 synthetic division & end behavior, extra ch. 6 lessons:.

Lesson 1: Zeros, Multiplicity & Graphing

Lesson 2: Solving Polynomial Inequalities

Lesson 3: Rational Root Theorem

--- Chapter 6 Homework & Worksheets ---

6.1 Homework: Pg 373 Problem Set: 1, 2, 4, 6, 7, 9

6.2 Homework: Pg 379 Problem Set: 9, 10, 13 (After doing the problem, state the degree & leading coefficient) Pg 382 Problem Set: 3, 7, 9

6.3 Day 1 Homework: Pg 388-389 Problem Set: 1-4, 6, 8

6.3 Day 2 Homework: Pg 389 Problem Set: 10-12 Pg 391 Problem Set: 10-12

6.3 Day 3 Homework: Pg 394: 1-3, 5, 6, 8

6.4 & 6.5 Homework: Pg 402 Problem Set: 1, 2, 4-6

Chapter 6 Review Answers

Extra Ch. 6 Lessons Homework: Lesson #1 Worksheet Answers Lesson #2 Worksheet Answers

Extra Ch. 6 Lessons Review: Worksheet Answers

--- Chapter 7 Lessons ---

7.4 day 1: function operations & composition, 7.1 higher roots & rational exponents, 7.2 graphs and trans. of sq. root functions, 7.3 solving radical functions, 7.4 function operations:.

Day 1: Function Operations & Composition (Covered before 7.1)

Day 2: Function Inverses

--- Chapter 7 Homework and Worksheets ---

7.4 Day 1 Homework: Worksheet PDF Worksheet Key

7.1 Homework: Pg 433 Problem Set: 1-9. On #s 4-6 you do Not have to evaluate, just convert.

7.2 Homework: Pg 443: 2, 3, 9, 10 (On 9 & 10 only state transformations. Do not graph) Pg 448: 3, 4, 6, 11 (on 6 & 11 only state transformations, Do not graph)

7.3 Homework: Pg 459: 3, 7, 8 Pg 462: 1, 2 Pg 464: 1, 3

7.4 Day 2 Homework: Pg 476 Problem Set: 1-3, 5, 6, 9, 11

--- Chapter 8 Lessons ---

8.1 exponential functions.

Day 1: Introduction & Transformations

Day 2: Graphing and Interest Rates

8.2 Logarithm Functions

Day 1: Introduction, Converting & Evaluating

Day 2: Transformations & Graphing

8.3 Properties of Logarithms

8.4 solving exponential and logarithmic equations, --- chapter 8 homework & worksheets ---, 8.1 day 1 homework:, 8.1 day 2 homework:, 8.2 day 1 homework:, 8.2 day 2 homework:, 8.3 homework:, 8.4 homework:, --- chapter 9 lessons ---, 9.1 direct variation, 9.2 graphing rational functions.

Day 1: Identifying x/y-int & V. Asymptotes

Day 2: H. Asymptotes and Graphing

9.3 Simplifying, Multiplying & Dividing Rationals

Day 1: Simplifying by Factoring & Canceling

Day 2: Multiplying & Dividing Multiple Expressions

9.4 Adding & Subtracting Rationals

Day 1: Finding a Common Denominator

Day 2: Factoring Before Adding/Subtracting

9.5 Solving Rational Equations

--- chapter 9 homework & worksheets ---, 9.1 homework:, 9.2 day 1 homework:, 9.2 day 2 homework:, 9.3 day 1 homework:, 9.3 day 2 homework:, 9.4 day 1 homework:, 9.4 day 2 homework:, 9.5 homework:, --- chapter 10 lessons ---, 10.1 distance, midpoint, and parabolas, 10.2 cicrcles, 10.3 ellipses, 10.4 hyperbolas, --- chapter 10 homework & worksheets ---, 10.1 homework:, 10.2 homework:, 10.3 homework:, 10.4 homework:, --- chapter 11 lessons ---, 11.1 introduction to sequences & series.

Day 1: Term Notation & Definitions

Day 2: Writing General & Recursive Rules, Sigma Notation

11.2 Arithmetic Sequences

11.3 geometric sequences, 11.4 infinite series, --- chapter 11 homework & worksheets ---, 11.1 day 1 homework:, 11.1 day 2 homework:, 11.2 homework:, 11.3 homework:, 11.4 homework:, --- chapter 12 lessons ---, 12.1 & 12.2 fundamental counting principle, permutations & combinations, --- chapter 12 homework & worksheets ---, 12.1 & 12.2 homework:, --- final exam review ---, semester 1 final, semester 2 final.

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Texas Go Math Grade 5 Lesson 4.5 Answer Key 2-Digit Divisors

Refer to our Texas Go Math Grade 5 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 5 Lesson 4.5 Answer Key 2-Digit Divisors.

Unlock the Problem

The annual rainfall in Greensville is 4.32 inches. What is the average monthly rainfall in Greensville?

One Way Use place value. Divide. 4.32 ÷ 12

$Texas Go Math Grade 5 Lesson 4.5 Answer Key 1$

So, the average monthly rainfall in Greenville is ___________ inch. Answer:

$lesson 15 homework 4.5 answer key$

Divide. 43 tenths ÷ 12 Multiply. 12 × 3 tenths Subtract. 43tenths – 36tenths Check.7 tenths cannot be shared among 12 groups.

$lesson 15 homework 4.5 answer key$

So, the average monthly rainfall in Greenville is 0.36 inch.

Math Talk Mathematical Processes

Explain how you would model 10.32 ÷ 12 using base-ten blocks. Answer:

Another Way Use an estimate.

Divide as you would with whole numbers. Divide. $40.89 ÷ 47

$Texas Go Math Grade 5 Lesson 4.5 Answer Key 4$

Divide the tenths.
Divide the hundredths. When the remainder is zero and there are no more digits in the dividend, the division is complete.
Use your estimate to place the decimal point. Place a zero to show there are no ones.

$lesson 15 homework 4.5 answer key$

Explain how you used the estimate to place the decimal point in the quotient. Answer: Estimated to place the decimal point. Placed a zero to show there are no ones. the decimal point is placed in the product so that the number of decimal places in the product is the sum of the decimal places in the factors.

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$Texas Go Math Grade 5 Lesson 4.5 Answer Key 5$

Problem Solving

$lesson 15 homework 4.5 answer key$

Go Math Lesson 4.5 5th Grade Answer Key Question 6. Write Math what’s the Error? Darla divided 812.5 by 50. She says the quotient is 1.625. Describe Darla’s error. Answer: 16.25 Explanation: She placed the decimal point wrong

Question 7. Jin makes trail mix with apricots and walnuts. A package of dried apricots weighs 25.5 ounces. Jin divides the apricots equally among 34 bags of trail mix. How many ounces of apricots are in each bag? Answer: 0.75 ounces Explanation: Jin makes trail mix with apricots and walnuts. A package of dried apricots weighs 25.5 ounces. Jin divides the apricots equally among 34 bags of trail mix. 2.5 ÷ 34 = 0.75

$Texas Go Math Grade 5 Lesson 4.5 Answer Key 9$

Question 9. Multi-Step Maya trains 5 days each week for a triathlon. In 5 weeks she logs 24.6 miles in the pool. 445.45 miles on the bike, and 167.45 miles running. On average, how many miles did Maya cover each day? Answer: 318.5miles Explanation: Maya trains 5 days each week for a triathlon. In 5 weeks she logs 24.6 miles in the pool. 445.45 miles on the bike, and 167.45 miles running. 24.6 + 445.45 + 167.45 = 637.5 To find the average we have to divide the total with 2 637.5 ÷ 2 = 318.5

Daily Assessment Task

Fill in the bubble completely to show your answer.

Question 10. A scientist conducting a dig spent $37.95 on 23 packets of hand wipes for her team of volunteers. What was the price of each packet? (A) $16.50 (B) $16.05 (C) $1.60 (D) $1.65 Answer: D Explanation: A scientist conducting a dig spent $37.95 on 23 packets of hand wipes for her team of volunteers. the price of each packet is $1.65

Division with 2-Digit Divisors Lesson 4.5 Answer Key Question 11. Calvin needs to buy carpet to cover the floor of a rectangular room with an area of 170.8 square feet. Calvin measures the room’s length to be 14 feet. He then divides the room’s area by its length to find the room’s width. How many decimal places will the quotient have? (A) 0 (B) 1 (C) 2 (D) 3 Answer: C Explanation: Calvin needs to buy carpet to cover the floor of a rectangular room with an area of 170.8 square feet. Calvin measures the room’s length to be 14 feet. He then divides the room’s area by its length to find the room’s width. The quotient is 12.2 so, the decimal point is 2

Question 12. Multi-Step Farmer Lee grows tomatoes and squash. He harvests 49.92 kilograms of tomatoes and 65.92 kilograms of squash. He distributes the tomatoes and squash into 32 farm share baskets. How many more kilograms of squash than tomatoes does each basket contain? (A) 2.06 kilograms (B) 0.5 kilogram (C) 1.56 kilograms (D) 3.62 kilograms Answer: 0.5 kilograms Explanation: Farmer Lee grows tomatoes and squash. He harvests 49.92 kilograms of tomatoes and 65.92 kilograms of squash. He distributes the tomatoes and squash into 32 farm share baskets. 49.92 ÷ 32 = 2.06 65.92 ÷ 32 = 1.56 2.06 – 1.56 = 0.5 0.5 more kilograms of squash than tomatoes in each basket contain.

Texas Test Prep

Question 13. Jasmine uses 14.24 pounds of fruit for 16 servings of fruit salad. If each serving contains the same amount of fruit, how much fruit is in each serving? (A) 0.089 pound (B) 1.76 pounds (C) 0.89 pound (D) 17.6 pounds Answer: C Explanation: Jasmine uses 14.24 pounds of fruit for 16 servings of fruit salad. If each serving contains the same amount of fruit, the fruit in each serving is 0.89 pounds

Texas Go Math Grade 5 Lesson 4.5 Homework and Practice Answer Key

$Texas Go Math Grade 5 Lesson 4.5 Answer Key 10$

Question 13. Carla’s car travels 412.5 miles on a tank of gas. The tank holds 15 gallons of gas. How many miles can Carla go on each gallon? Answer: 27.5miles Explanation: Carla’s car travels 412.5 miles on a tank of gas. The tank holds 15 gallons of gas. Carla can go on each gallon of gas is 27.5 miles

Question 14. Muffins cost $35.40 for a dozen or $18.72 for a half dozen. Which is the better buy? Explain. Answer: Dozen = $2.95 Half dozen = $3.12 Explanation: The better buy is dozen as it cost per piece is $2.95

Lesson Check

Question 15. Anita pays $20.70 to copy an 18 page report. What is the cost for each page? (A) $1.05 (B) $1.03 (C) $1.15 (D) $1.10 Answer: C Explanation: Anita pays $20.70 to copy an 18 page report. the cost for each page is $1.15

Question 16. A florist sells a dozen roses for $29.88. What is the cost of one rose? (A) $2.41 (B) $2.49 (C) $2.40 (D) $2.08 Answer: B Explanation: A florist sells a dozen roses for $29.88. cost of one rose $2.49 since dozen equals to 12. So 29.88 ÷ 12 = 2.49

Question 17. Cameron has a stack of 13 identical books that is 30.55 centimeters tall. He divides the total height by the number of books to find the width of one book. How many decimal places will the quotient have? (A) 3 (B) 2 (C) 1 (D) 0 Answer: Explanation: Cameron has a stack of 13 identical books that is 30.55 centimeters tall. He divides the total height by the number of books to find the width of one book. So width of each book is 2.35cm. Since 30.55 ÷13 = 2.35. So 2 decimal places will the quotient have.

Question 18. Kiera makes 188.6 ounces of punch for a pool party. She has 23 guests attending the party. How many ounces of punch does she make for each guest? (A) 8.2 ounces (B) 9.4 ounces (C) 8.1 ounces (D) 7.2 ounces Answer: A Explanation: Kiera makes 188.6 ounces of punch for a pool party. She has 23 guests attending the party. So She made the 8.2 ounces of punch for each guest. Since 188.6 ÷ 23 = 8.2

Question 19. Multi-Step Last year, Mr. Henderson paid a total of $98.40 for phone service and $79.20 for garbage pickup. What was his average cost per month for phone service and garbage pickup? (A) $8.20 (B) $6.60 (C) $1.48 (D) $14.80 Answer: D Explanation: Last year, Mr. Henderson paid a total of $98.40 for phone service and $79.20 for garbage pickup. So total paid per year is $177.6. 12 months in a year. So his average cost per month phone service and garbage pick up is 14.80. Since 177.60 ÷12 = 14.80

Question 20. Multi-Step Isabel worked 20 hours last week and earned $145.80. Nan worked 15 hours last week and earned $112.50. How much more does Nan earn per hour? (A) $2.22 (B) $3.30 (C) $0.39 (D) $0.21 Answer: D Explanation: Isabel worked 20 hours last week and earned $145.80. So Isabel earn $7.29 per hour. Since 145.80 ÷20 = 7.29. Nan worked 15 hours last week and earned $112.50. So Nan earn $7.50 per hour. Since $112.50 ÷15 = 7.50. Nan Earned $0.21 more than Isabel per hour.

Eureka Math Grade 5 Module 4 Lesson 13 Answer Key

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.

$Eureka Math Grade 5 Module 4 Lesson 13 Problem Set Answer Key 1$

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: $\frac{3}{4}$ > $\frac{1}{12}$.

$Eureka-Math-Grade-5-Module-4-Lesson-13-Problem-Set-Answer-Key-1-1$

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. $\frac{1}{3}$ × $\frac{1}{3}$

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. $\frac{1}{4}$ × $\frac{1}{3}$

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 $\frac{1}{20}$.