Eureka Math Grade 5 Module 3 Lesson 15 Answer Key (2024)

Engage NY Eureka Math 5th Grade Module 3 Lesson 15 Answer Key

Eureka Math Grade 5 Module 3 Lesson 15 Sprint Answer Key

A
Circle the Smaller Fraction

Question 1.
$\frac{1}{2}$ $\frac{1}{4}$
Answer:

Question 2.
$\frac{1}{2}$ $\frac{3}{4}$
Answer:

Question 3.
$\frac{1}{2}$ $\frac{5}{8}$
Answer:

Question 4.
$\frac{1}{2}$ $\frac{7}{8}$
Answer:

Question 5.
$\frac{1}{2}$ $\frac{1}{10}$
Answer:

Question 6.
$\frac{1}{2}$ $\frac{3}{10}$
Answer:

Question 7.
$\frac{1}{2}$ $\frac{5}{12}$
Answer:

Question 8.
$\frac{1}{2}$ $\frac{11}{12}$
Answer:

Question 9.
$\frac{1}{2}$ $\frac{7}{10}$
Answer:

Question 10.
$\frac{1}{5}$ $\frac{9}{10}$
Answer:

Question 11.
$\frac{2}{5}$ $\frac{1}{10}$
Answer:

Question 12.
$\frac{2}{5}$ $\frac{3}{10}$
Answer:

Question 13.
$\frac{3}{5}$ $\frac{3}{10}$
Answer:

Question 14.
$\frac{3}{5}$ $\frac{7}{10}$
Answer:

Question 15.
$\frac{4}{5}$ $\frac{1}{10}$
Answer:

Question 16.
$\frac{4}{5}$ $\frac{9}{10}$
Answer:

Question 17.
$\frac{1}{3}$ $\frac{1}{9}$
Answer:

Question 18.
$\frac{1}{3}$ $\frac{2}{9}$
Answer:

Question 19.
$\frac{1}{3}$ $\frac{4}{9}$
Answer:

Question 20.
$\frac{1}{3}$ $\frac{8}{9}$
Answer:

Question 21.
$\frac{1}{3}$ $\frac{1}{12}$
Answer:

Question 22.
$\frac{1}{3}$ $\frac{5}{12}$
Answer:

Question 23.
$\frac{1}{4}$ $\frac{1}{8}$
Answer:

Eureka Math Grade 5 Module 3 Lesson 15 Problem Set Answer Key

Solve the word problems using the RDW strategy. Show all of your work.
Question 1.
In a race, the-second place finisher crossed the finish line 1$\frac{1}{3}$ minutes after the winner. The third-place finisher was 1$\frac{3}{4}$ minutes behind the second-place finisher. The third-place finisher took 34$\frac{2}{3}$ minutes. How long did the winner take?
Answer:
Fraction of time of Second place finisher crossed the line after = 1$\frac{1}{3}$ minutes = $\frac{4}{3}$
Fraction of time of Third place finisher is behind the second place = 1$\frac{3}{4}$ minutes = $\frac{7}{4}$
Fraction of time the third place finisher took = 34$\frac{2}{3}$ = $\frac{105}{3}$
Fraction of time the second place runner took = $\frac{105}{3}$ – $\frac{7}{4}$ = $\frac{420}{12}$ – $\frac{21}{12}$ = $\frac{399}{12}$ = $\frac{133}{4}$
Fraction of time the First place runner took = $\frac{133}{4}$ – $\frac{4}{3}$ = $\frac{399}{12}$ – $\frac{16}{12}$ = $\frac{383}{12}$ = 31 $\frac{11}{12}$ .
Therefore the First Runner took =31 $\frac{11}{12}$ .minutes.

Question 2.
John used 1$\frac{3}{4}$ kg of salt to melt the ice on his sidewalk. He then used another 3$\frac{4}{5}$ kg on the driveway. If he originally bought 10 kg of salt, how much does he have left?
Answer:
Fraction of Salt used by John =1$\frac{3}{4}$ kg = $\frac{7}{4}$ kg
Fraction of Salt used again =3$\frac{4}{5}$ kg = $\frac{24}{5}$ kg
Fraction of salt used = $\frac{7}{4}$ + $\frac{24}{5}$ = $\frac{35}{20}$ + $\frac{96}{20}$ = $\frac{131}{20}$ = 6 $\frac{11}{20}$ .
Total Salt = 10 kg.
Fraction of salt left = 10 – $\frac{131}{20}$ = $\frac{200}{20}$ – $\frac{131}{20}$ = $\frac{69}{20}$ = 3$\frac{9}{20}$ .
Therefore Fraction of salt left = 3$\frac{9}{20}$ .

Question 3.
Sinister Stan stole 3$\frac{3}{4}$ oz of slime from Messy Molly, but his evil plans require 6$\frac{3}{8}$ oz of slime. He stole another 2$\frac{3}{5}$ oz of slime from Rude Ralph. How much more slime does Sinister Stan need for his evil plan?
Answer:
Fraction of slime stolen from Messy Molly = 3$\frac{3}{4}$ = $\frac{15}{4}$ oz
Fraction of slime stolen from Messy Molly again = 2$\frac{3}{5}$ = $\frac{13}{5}$ oz
Total Fraction Stolen = $\frac{15}{4}$ + $\frac{13}{5}$ = $\frac{75}{20}$ + $\frac{52}{20}$ = $\frac{127}{20}$ = 6$\frac{7}{20}$ .
Fraction of more slime required = 6$\frac{3}{8}$ – $\frac{127}{20}$ = $\frac{51}{8}$ – $\frac{127}{20}$ = $\frac{255}{40}$ – $\frac{254}{40}$ = $\frac{1}{40}$ .
Therefore, Fraction of more slime required = $\frac{1}{40}$ oz.

Question 4.
Gavin had 20 minutes to do a three-problem quiz. He spent 9$\frac{3}{4}$ minutes on Problem 1 and 3$\frac{4}{5}$ minutes on Problem 2. How much time did he have left for Problem 3? Write the answer in minutes and seconds.
Answer:
Time given for 3 problems = 20 minutes
Fraction of time Spent on Problem 1 = 9$\frac{3}{4}$ minutes = $\frac{39}{4}$ .
Fraction of Time spent on Problem 2 = 3$\frac{4}{5}$ = $\frac{19}{5}$ .
Fraction of Time spent on Problem 3 = x
20 = $\frac{39}{4}$ + $\frac{19}{5}$ + x
x = 20 – $\frac{39}{4}$ – $\frac{19}{5}$
x = $\frac{400}{20}$ – $\frac{195}{20}$ – $\frac{76}{20}$
x = $\frac{129}{20}$ = 6$\frac{9}{20}$ .
Therefore, Fraction of Time spent on Problem 3 = 6$\frac{9}{20}$ .

Question 5.
Matt wants to shave 2$\frac{1}{2}$ minutes off his 5K race time. After a month of hard training, he managed to lower his overall time from 21$\frac{1}{5}$ minutes to 19$\frac{1}{4}$ minutes. By how many more minutes does Matt need to lower his race time?
Answer:
Fraction of Time lowered = 21$\frac{1}{5}$ minutes to 19$\frac{1}{4}$ minutes. = $\frac{106}{5}$ – $\frac{77}{4}$ = $\frac{424}{20}$ – $\frac{385}{20}$ = $\frac{39}{20}$ =1$\frac{19}{20}$ .
Fraction of Time shaved = 2$\frac{1}{2}$ =$\frac{5}{2}$ .
Fraction of More Time Matt need to lower his race time = $\frac{5}{2}$ – $\frac{39}{20}$ = $\frac{50}{20}$ – $\frac{39}{20}$ = $\frac{11}{20}$ = $\frac{33}{60}$ = 33 minutes .

Eureka Math Grade 5 Module 3 Lesson 15 Exit Ticket Answer Key

Solve the word problem using the RDW strategy. Show all of your work.
Cheryl bought a sandwich for 5$\frac{1}{2}$ dollars and a drink for $2.60. If she paid for her meal with a $10 bill, how much money did she have left? Write your answer as a fraction and in dollars and cents.
Answer:
Fraction of Cost of sandwich = 5$\frac{1}{2}$ = $\frac{11}{2}$ dollar = 5.5 dollar
Fraction of Cost of Drink = $2.60.
Total Cost = 5.5 +2.60 = 8.1 $.
Amount paid = 10$.
Money left = 10 – 8.1 = 1.9 $ .

Eureka Math Grade 5 Module 3 Lesson 15 Homework Answer Key

Solve the word problems using the RDW strategy. Show all of your work.
Question 1.
A baker buys a 5 lb bag of sugar. She uses 1$\frac{2}{3}$ lb to make some muffins and 2$\frac{3}{4}$ lb to make a cake. How much sugar does she have left?
Answer:
Total Quantity of Sugar = 5 lb
Fraction of Quantity of Suagr used for muffins = 1$\frac{2}{3}$ lb = $\frac{5}{3}$
Fraction of Quantity of Suagr used cake = 2$\frac{3}{4}$ lb = $\frac{11}{4}$
Fraction of Quantity of Sugar used = $\frac{5}{3}$ + $\frac{11}{4}$ = $\frac{20}{12}$ + $\frac{33}{12}$ = $\frac{53}{12}$
Fraction of Quantity of Sugar left = 5 – $\frac{53}{12}$ = $\frac{60}{12}$ – $\frac{53}{12}$ =$\frac{7}{12}$ .
Therefore, Fraction of Quantity of sugar left = $\frac{7}{12}$ .

Question 2.
A boxer needs to lose 3$\frac{1}{2}$ kg in a month to be able to compete as a flyweight. In three weeks, he lowers his weight from 55.5 kg to 53.8 kg. How many kilograms must the boxer lose in the final week to be able to compete as a flyweight?
Answer:
Fraction of weight need to lose in month = 3$\frac{1}{2}$ = $\frac{7}{2}$ = 3.5 kg
Weight lost in 3 weeks = 55.5 – 53.8 = 1.7 kg
Weight need to lose in final week = 3.5 – 1.7 = 1.8 kg.

Question 3.
A construction company builds a new rail line from Town A to Town B. They complete 1$\frac{1}{4}$ miles in their first week of work and 1$\frac{2}{3}$ miles in the second week. If they still have 25$\frac{3}{4}$ miles left to build, what is the distance from Town A to Town B?
Answer:
Fraction of work completed in first week = 1$\frac{1}{4}$ miles = $\frac{5}{4}$
Fraction of work completed in second week = 1$\frac{2}{3}$ miles = $\frac{5}{3}$
Fraction of work left to built = 25$\frac{3}{4}$ miles = $\frac{103}{4}$
Fraction of Distance from Town A to Town B = $\frac{103}{4}$ + $\frac{5}{4}$ + $\frac{5}{3}$ = $\frac{108}{4}$ + $\frac{5}{3}$ = $\frac{324}{12}$ + $\frac{20}{12}$ = $\frac{344}{12}$= 28$\frac{2}{3}$ .
Therefore, Fraction of Distance from Town A to Town B = 28$\frac{2}{3}$ miles.

Question 4.
A catering company needs 8.75 lb of shrimp for a small party. They buy 3$\frac{2}{3}$ lb of jumbo shrimp, 2$\frac{5}{8}$ lb of medium-sized shrimp, and some mini-shrimp. How many pounds of mini-shrimp do they buy?
Answer:
Quantity of shrimp needed = 8.75 lb =8$\frac{3}{4}$ = $\frac{27}{4}$
Quantity of jumbo shrimp = 3$\frac{2}{3}$ lb = $\frac{11}{3}$
Quantity of medium – sized shrimp = 2$\frac{5}{8}$ lb = $\frac{21}{8}$
Quantity of mini shrimp = x
$\frac{35}{4}$= $\frac{11}{3}$ + $\frac{21}{8}$ + x
x = $\frac{210}{24}$ – $\frac{88}{24}$ – $\frac{63}{24}$
x = $\frac{59}{24}$ = 2 $\frac{11}{24}$
Therefore, Quantity of mini shrimp = x = 2 $\frac{11}{24}$ lb .

Question 5.
Mark breaks up a 9-hour drive into 3 segments. He drives 2$\frac{1}{2}$ hours before stopping for lunch. After driving some more, he stops for gas. If the second segment of his drive was 1$\frac{2}{3}$ hours longer than the first segment, how long did he drive after stopping for gas?
Answer:
Total time of the drive = 9 hours .
Fraction of Time drived for first segment = 2$\frac{1}{2}$ hours = $\frac{5}{2}$
Fraction of Time of second segment = 1$\frac{2}{3}$ hours longer than the first segment = $\frac{5}{3}$ + $\frac{5}{2}$ = $\frac{10}{6}$ + $\frac{15}{6}$ = $\frac{25}{6}$ =4$\frac{1}{6}$
Fraction of Time of first and second segment= $\frac{5}{2}$ + $\frac{25}{6}$ = $\frac{15}{6}$ + $\frac{25}{6}$ = $\frac{40}{6}$ = 6$\frac{4}{6}$
Fraction of Time he drive after stopping gas = 9 – $\frac{40}{6}$ = $\frac{54}{6}$ – $\frac{40}{6}$ = $\frac{14}{6}$ = 2$\frac{2}{6}$ .
Therefore, Fraction of Time he drive after stopping gas = third segment = 2$\frac{2}{6}$ hours .