Dividing a Unit Fraction by a Whole Number
1/2 ÷ 3
1/6
2 ÷ 1/4
8
How many minutes are in 1 1/2 hours?
60 minutes = 1 hour
1/2 hour = 30 minutes
60 + 30 = 90 minutes in 1 1/2 hour
Describe a real-life situation that matches the division equation 2 ÷ 1/2 = 4.
Example:
Tyler cooked 2 hamburgers. He wanted to give each of his friends 1/2 of a hamburger for them to eat. How many friends could Tyler feed?
A single serving of cereal is 1/2 of a cup. There are 5 cups of cereal. How many servings of cereal are there?
Choose the correct expression that represents this word problem:
a) 1/2 ÷ 5
b) 5 ÷ 1/2
c) 2 ÷ 1/5
d) 1/5 ÷ 2
a) 1/2 ÷ 5
1/3 ÷ 5
1/15
3 ÷ 1/5
15
How many feet are in 3 1/2 yards?
10 1/2
Write a word problem that can be solved using the equation below:
64 ÷ 1/8
Example:
Ashley has a 64-pound bag of dog food. Each day, Ashley puts 1/8 of a pound of the food in her dog's dish. How many days can Ashley feed her dog using the 27 pound bag?
Angela has a job that will take her 12 hours to complete. She gets two of her friends to help her. They have so much fun working together that it takes her twice as long to complete the job! How long, in days, did Angela work on the job?
24 hours = 1 day
Angela worked on the job for 1 day.
1/5 ÷ 7
1/35
5 ÷ 1/8
Ms. Dahl has 4 lbs of steak. She needs 80 oz of steak for a recipe. How many more ounces of steak does Ms. Dahl need for the recipe?
16 ounces
Describe a real-life situation that matches the division equation 5 ÷ 1/3.
Example:
Denise made five trays of cookies. She wanted to give 1/3 of a tray to different families in her neighborhood. How many families can she deliver cookies to?
Five swimmers on a relay team will split the total distance of a race during a swim meet. The race will be a 1/2 mile long. How far is the distance, in miles, each swimmer will swim during the race?
1/2 ÷ 5 = 1/10 of a mile
1/7 ÷ 4
1/28
7 ÷ 1/5
35
Mrs. King is building a table. She needs to cut legs for the table that are 24 inches long, but she only has a yardstick. How long, in yards, should Mrs. King cut the legs for her stool?
Write your own word problem for the given equation:
1/4 ÷ 3
Example:
1/4 of a pizza was left over. Amy, Grant, and Jason wanted to share what was left. How much of the whole pizza will each of them get?
Amy has 9 feet of ribbon. Amy uses this ribbon to make bows for her hair. She uses 1/6 foot of ribbon to make each bow. What is the total number of bows that Amy can make with all 9 feet of ribbon?
9 ÷ 1/6 = 54
Amy can make 54 bows out of the 9 feet of ribbon.
1/9 ÷ 9
1/81
8 ÷ 1/8
64
Mrs. Erlandson has two granola bars of equal weight that together weigh 40 grams. She gave one granola bar to Mrs. Beckman and ate half of her granola bar. What is the weight of the granola bar, in kilograms, that Mrs. Erlandson has left?
0.01 kilograms
Write your own word problem for the given equation:
1/6 ÷ 3
Example:
Three friends wanted to split 1/6 of the cake that was left over. How much of the total cake will each friend get to eat?
Corbin has 1/12 of a pitcher of juice remaining, and he wants to share it equally among 3 friends. How much of the total pitcher of juice will each of his friends receive?
1/12 ÷ 3 = 1/36
Each friend will receive 1/36 of the whole pitcher of juice.