If you have done Eureka Math Lesson Homework 5.3 and need an answer key to check how many you get it right, this is your day as you come to the right place that feature such information. Below is the answer key of the Eureka Math Lesson 10 Homework 5.3 for you:
- Add.
a. 2 ½ + 1 1/5 = 3 + (1 x 5 / 2 x 5) + (1 x 2 / 5 x 2) = 3 + 5/10 + 2/10 = 3 7/10
b. 2 ½ + 1 3/5 = 3 + (1 x 5 / 2 x 5) + (3 x 2 / 5 x 2) = 3 + 5/10 + 6/10 = 3 + 11/10 = 3 + 10/10 + 1/10 = 4 1/10
c. 1 1/5 + 3 1/3 = 4 + (1 x 3 / 5 x 3) + (1 x 5 / 3 x 5) = 4 + 3/15 + 5/15 = 4 8/15
d. 3 2/3 + 1 3/5 = 4 + (1 x 5 / 5 x 5) + (3 x 3 / 5 x 3) = 4 + 10/15 + 9/15 = 4 + 19/15 = 4 + 15/15 + 4/15 = 5 4/15
e. 2 1/3 + 4 4/7 = 6 + (1 x 7 / 3 x 7) + (4 x 3 / 1 x 3) = 4 + 3/15 + 5/15 = 4 8/15
f. 3 5/7 + 4 2/3 = 7 + (5 x 3 / 7 x 3) + (2 x 7 / 3 x 7) = 7 + 15/21 + 14/21 = 7 + 29/21 = 7 + 21/21 + 8/21 = 8 8/21
g. 15 1/5 + 4 3/8 = 19 + (1 x 8 / 5 x 8) + (3 x 5 / 8 x 5) = 19 + 8/40 + 15/40 = 19 23/40
h. 18 3/8 + 2 2/5 = 20 + (3 x 5 / 8 x 5) + (2 x 8 / 5 x 8) = 20 + 15/40 + 16/40 = 20 31/40
2. Angela practiced piano for 2 ½ hours on Friday, 2 1/3 hours on Saturday, and 3 2/3 hours on Sunday. How much time did Angela practice piano during the weekend?
Answer: 2 ½ + 2 1/3 + 3 2/3 = 7 + (1 x 3 / 2 x 3) + (1 x 2 / 3 x 2) + (2 x 2 / 3 x 2) = 7 + 3/6 + 2/6 + 4/6 = 7 + 9/6 = 7 + 6/6 + 3/6 = 8 3/6 = 8 1/3
Angela practiced 8 1/3 hours over the weekend.
- String A is 3 5/6 meters long. String B is 2 ¼ long. What’s the total length of both strings?
Answer: 3 5/6 + 2 ¼ = 5 + (5 x 2 / 6 x 2) + (1 x 3 / 4 x 3) = 5 + 10/12 + 3/12 = 5 + 13/12 = 5 + 12/12 + 1/12 = 6 1/12
Total length of strings are 6 1/12 meters.
- Matt says that 5 – 1 ¼ will be more than 4, since 5 – 1 is 4. Draw a picture to prove that Matt is wrong.
Answer: 5 – 1 ¼ = 4 – ¼ = 3 ¾
Matt’s answer minus ¼ from 4/4 leaves ¾ with 3 wholes left equals 3 ¾.
Apart from the Eureka Math Lesson 10 Homework 5.3, you might also want to know the answer key of the previous one, which is Eureka Math Lesson 9 Homework 5.3. For everyone who needs it, here is for you to check out:
- 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
- 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
- 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
- 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
So, how many questions do you get it right? Please do not go straight to copy the answer key and try your best first for the sake of your mind.
