Connecting Fractions to Division
What is 3 ÷ 4?
3/4
Solve the problem 352 ÷ 5. What is the quotient? What is the remainder?
Quotient: 70
Remainder: 2
Solve: 2/4 + 1/8
5/8
Rename this fraction as a mixed number:
12/5
2 2/5
What is 1/2 of 6?
3
What is 12 ÷ 17?
12/17
Solve the problem 826 ÷ 62. What is the remainder? What is the quotient?
Quotient: 13
Remainder: 20
Solve: 1/2 - 1/4 =
1/4
Rename this improper fraction as a mixed number:
15/4
3 3/4
What is 1/3 of 12?
4
There are 6 small pizzas in Zay's refrigerator. He wants to take pizza to school for lunch every day for the next 10 days of school. If he wants to eat the same amount of pizza every day, how much pizza should he bring for lunch each day?
6/10 or 3/5 pizza per day
Six runners are running in the same race. They decided to share a giant 423-ounce container of water. If the runners split the water equally, how many ounces of water will each runner get? Be sure to explain what you did with the remainder and why.
Each runner will get 70 3/6 ounces of water (or 70 1/2).
The remainder was reported as a fraction because we don't want to waste any of the water. We want each of the runners to be able to split the remaining ounces.
Gavin said, " I added 2/5 and 4/10 and got 6/15." Does Gavin's make sense? How do you know without calculating.
His answer doesn't make sense because when adding fractions, you cannot just add straight across without common denominators. Gavin should have started by finding a common denominator, then add the numerators together, and keep the denominator the same.
Rename this fraction as a mixed number:
13/2
6 1/2
What is 1/5 of 45?
9
There are 4 small rounds of cheddar cheese in Kylah's refrigerator. She wants to bring a small wedge of cheese in her lunch every day for the next 5 days. If she wants to eat the same amount of cheese every day, how much cheese should Kylah bring for lunch each day?
4/5 of cheese each day
A carnival ride can fit 35 people at a time. If there are 212 people waiting in line for the ride, how many times will it have to run before all people have gotten on?
7 times because 212 ÷ 35 is 6 R2, but we cannot forget about those extra two people who want to ride!
A chef had 1 1/4 bag of sugar. She used 2/4 bag of sugar to make cookies. How much sugar does she have left?
Hint: Draw a picture or use fraction circle pieces to help you!
3/4 bag of sugar
What is another name the mixed number below that has the same denominator?
4 2/5
Answers may vary.
Possible answers include:
3 7/5, 2 12/5, 1 17/5, 22/5
Keaton bought 50 football cards. He gave 1/5 of the football cards to his brother. How many baseball cards did his brother get?
10
Write a division number story with the answer of 1/5.
Answers can vary.
Example answer: There is one pizza that needs to be split amongst 5 people. How much pizza will each person get?
Brantley has $54 to spend on video games. If each video game costs $19, how many video games can Brantley buy? Explain.
2 because after buying these two games, Brantley only has $16 left which isn't enough for a third game.
54 ÷ 19 = 2 R 16
Piper is 64 3/4 inches tall. Natalie is 58 1/8 inches tall. How much tall is Piper than Natalie?
Piper is 6 5/8 inches taller than Natalie.
What is another name for the mixed number below that has the same denominator?
6 1/3
Answers may vary.
Possible answers include:
5 4/3, 4 7/3, 3 10/3, 2 13/3, 1 16/3, 19/3
Jericho bought 55 oranges at the store. He gave 1/5 of the oranges away. How many oranges did Jericho give away?
11