Eureka Math Lesson 9 Homework 5.3 Answer Key

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For everyone who is looking for the answer key of the Eureka Math Lesson 9 Homework 5.3, it seems like today if your day as you come to the page where you will be able to find the right information that you are looking for below:

1. Make like units, then add. Use an equation to show your thinking.
a. 3/2 + 1/3 = 3/5 x 3 = 9/15 + 1/3 x 5 = 5/15 = 14/15
b. 3/5 + 1/11 = 3/15 x 11 = 33/55 + 1/11 x 5 = 5/55 = 38/55
c. 2/9 + 5/6 = 2/9 x 6 = 12/54 + 5/6 x 9 = 45/54 = 57/54 = 1 3/54
d. 2/5 + ¼ + 1/10 = 2/5 x 4 = 8/20 + ¼ x 5 = 5/20 + 1/2-0 x 2 = 2/20 = 15/20 = 3/4
e. 1/3 + 7/5 = 1/3 x 5 = 5/15 + 7/5 x 3 = 21/15 = 26/15 = 1 19/15
f. 5/8 + 7/12 = 5/8 x 3 = 15/24 + 7/12 x 2 = 14/24 = 29/24 = 1 5/24
g. 1 1/3 + ¾ = 1 1/3 x 4 = 1 4/12 + ¾ x 3 = 9/12 = 1 13/12 = 2 1/12
h. 5/6 + 1 ¼ = 5/6 x 4 = 20/24 + 1 ¼ x 6 = 1 6/24 = 26/24 = 1 2/24 = 1 1/12
2. On Monday, Ka practiced guitar for 2/3 pf one hour. When she finished, she practiced piano for ¾ of one hour. How much time did Ka spend practicing instruments on Monday?
Answer: 2/3 x 4 = 8/12 + ¾ x 3 = 9/12 = 17/12 = 1 5/12 hours
3. Ms. How bought a bag of rice for dinner. She used 3/5 kg of the rice and still had 2 ¼ kg left. How heavy was the bag of rice that Ms. How bought?
Answer: 3/5 x 4 = 2/20 + 2 ¼ x 5 = 2 5/20 = 2 17/20 kg
4. Joe spends 2/5 of his money on a jacket and 3/8 of his money on a shirt. He spends the rest on a pair of pants. What fraction of his money does he use to buy the pants?
Answer: 2/5 x 8 = 16/40 + 3/8 x 5 = 15/40 = 31/40 money

Aside from the answer key of the Lesson 9 Homework 5.3, you might also want to check out the previous lessons.

The answer key of Lesson 8 Homework 5.3:

a. 3 + 1 ¼ = 3 + 1 + ¼ = 4 ¼
b. 2 – 1 5/8 = (2-1) – 5/8 = 1 – 5/8 = 3/8
c. 5 2/5 + 2 3/5 = 5 + 2 + 2/5 + 3/5 = 7 5/5 = 8
d. 4 – 2 5/7 = (4-2) – 5/7 = 2 – 5/7 = 1 2/7
e. 8 4/5 + 7 = 8 + 7 + 4/5 = 15 4/5
f. 18 – 15 ¾ = (18 – 15) – ¾ = 3 – ¾ = 2 ¼
g. 16 + 18 5/6 = 16 + 18 + 5/6 = 34 5/6
h. 100 – 50 3/8 = (100 – 50) – 3/8 = 50 – 3/8 = 40 5/8
2. The total length of two ribbons is 13 meters.  If one ribbon is 7 5/8 meters long, what is the length of the other ribbon?
13 – 7 5/8 = (13 – 7) – 5/8 = 6 – 5/8 = 5 3/8
The other ribbon is 5 3/8 meters long.
It took Sandy two hours to jog 13 miles. She ran 7 ½ miles in the first hour. How far did she run during the second hour?
3. 13 – 7 ½ = (13 – 7) – ½ = 6 – ½ = 5 ½ miles
5 ½ miles ran during the second hour.
4. Andre says that 5 ¾ + 2 ¼ = 7 ½ because 7 4/8 = 7 ½. Identify his mistake. Draw a picture to prove that he is wrong.
5 ¾ + 2 ¼ = 5 + 2 + ¾ + ¼ = 7 4/4 or 8 Andrew miss added 5 ¾ + 2 ¼ equals 7 4/4 or 1 not 7 ½

The answer key of Lesson 7 Homework 5.3:

Solve the world problem using the RDW strategy. Show all your work.

1. Christine baked a pumpkin pie. She ate 1/6 of the pie. Her brother ate 1/3 of it, and have the left overs to his friends. What fraction of the pie did he give to his friends?
Christine + brother + leftover = 1
1/6 + 1/3 + ? = 1
1/6 + 2/6 + ? = 1
3/6 or ½
½ is left for the friends.
2. Liang went to the bookstore. He spent 1/3 of his money on a pen and 4/7 of it on books. What fraction of his money did he have left?
Pen + book + left = 1
1/3 + 4/7 + ? = 1
7/21 + 12/21 + ? = 1
2/21
2/21 is the money left.
3. Tiffany bought 2/5 kg of cherries. Linda bought 1/20 kg of cherries less than Tiffany. How many kg of cherries did they buy altogether?
Tiffany + Linda = total bought
2/5 + (2/5 – 1/20)
4/10 + (4/10 – 1/10)
4/10 + 3/10 = 7/10 kg
7/10 kg of cherries were bought.
4. Mr. Rivas bought a can of paint. He used 3/8 of it to paint a book shelf. He used ¼ of it to paint a wagon. He used some of it to paint a bird house. And have 1/8 of paint left. How much paint did he use for the bird house?
Bookshelf + wagon + birdhouse + left = 1
3/8 + ¼ + ? + 1/8 = 1
3/8 + 2/8 + ? + 1/8 = 2/8 or ¼
¼ was used to paint the birdhouse.
5. Ribbon A is 1/3 m long. It is 2/5 m shorter than ribbon B. What’s the total length of two ribbons?
Ribbon A + ribbon B = Total length
1/3 m + (1/3 + 2/5)
5/15 + 5/15 + 6/15
5/15 + 11/15 = 16/16 = 1 1/15