Multiplying Fractions by Whole Numbers
Give an example of a unit fraction.
What is......
Possible answers:
1/3, 1/4, 1/5, 1/6, 1/7 etc.........
A class arranged chairs in 14 rows, with 6 chairs in each row for an assembly. How many chairs are set up?
What is
14 × 6 = 84 chairs?
The 5th grade has 132 students going on a field trip. Each lunch box contains 2 sandwiches. The cafeteria staff can pack 45 lunch boxes per hour.
How many hours will it take to pack all the lunch boxes?
Step 1: Find number of lunch boxes needed:
132 students → 132 lunch boxes
Step 2: Divide by number packed per hour:
132 ÷ 45 = 2 remainder 42 → 3 hours
Answer: what is 3 hours?
A rectangular prism has a length of 5 cm, width of 3 cm, and height of 4 cm.
What is the volume?
Solution: What is....
V = l × w × h
V = 5 × 3 × 4 = 60 cm³ ?
Convert: 3 feet = ___ inches
Answer:
3 × 12 = 36 inches
Find the product:
8 X 2/3
What is 5 1/3?
The library received 9 boxes of books. Each box contains 27 books. How many books did the library receive?
What is
9 × 27 = 243 books?
A class reads 25 pages each day for 4 weeks.
If each week has 7 days, how many pages do they read in all?
Step 1: Total days = 4 × 7 = 28 days
Step 2: Total pages = 28 × 25 = 700 pages
Answer: What is 700 pages?
A box has a volume of 180 cubic inches. The length is 10 in, and the width is 6 in.
What is the height of the box?
Solution:
V = l × w × h
180 = 10 × 6 × h
180 = 60h
h = 180 ÷ 60 = 3 inches
Convert: 5 quarts = ___ cups
Answer:
1 quart = 4 cups
5 × 4 = 20 cups
Find the product:
7 x 2/5
What is 2 4/5?
The 5th grade is going on a field trip. Each bus can hold 48 students. If the school rents 5 buses, how many students can go on the trip?
Answer:
What is 48 × 5 = 240 students?
A PE teacher buys 7 boxes of tennis balls. Each box has 18 cans, and each can has 3 tennis balls.
How many tennis balls did she buy?
Step 1: 7 × 18 = 126 cans
Step 2: 126 × 3 = 378 tennis balls
Answer: What is 378 tennis balls?
A model is built using 72 unit cubes. The prism’s base has an area of 12 square units.
What is the height of the prism?
Solution:
V = base area × height
72 = 12 × h
h = 72 ÷ 12 = 6 units
A rope is 6 yards long.
How many feet long is the rope?
Answer:
1 yard = 3 feet
6 × 3 = 18 feet
Find the product:
2 X 2/3
What is 1 1/3
Sarah used 4.8 yards of fabric to make 6 pillows. If she used the same amount of fabric to make each pillow, how much fabric did she use for each?
What is 0.8?
(Division)
The school store sold 48 notebooks on Monday and 63 notebooks on Tuesday. Notebooks come in packs of 12.
How many packs of notebooks did the store sell altogether?
Total notebooks: 48 + 63 = 111
Packs: 111 ÷ 12 = 9 packs with 3 left over
Answer: what is 9 full packs?
A figure is made of two rectangular prisms:
Solution:
Prism A: 4 × 3 × 5 = 60 cm³
Prism B: 2 × 3 × 5 = 30 cm³
Total volume = 60 + 30 = 90 cm³
A bottle contains 64 ounces of lemonade.
How many pints is this?
1 pint = 16 ounces
64 ÷ 16 = 4 pints
Brendan hiked 2/5 of a trail one day. If he hikes this trail the same distance for 4 days in a row, how far will he hike?
What is 1 3/5 of a mile?
The baking club baked 208 muffins for a school breakfast. Each muffin tin held 16 muffins. How many tins did they use?
What is 13?
(Division)
A rectangular garden is 18 meters long and 12 meters wide.
The gardener wants to put 2 layers of fencing all the way around.
How many meters of fencing does she need?
Step 1: Perimeter = 2(18 + 12) = 2(30) = 60 m
Step 2: Two layers = 60 × 2 = 120 m
Answer: What is 120 meters of fencing?
A sandbox is 10 feet long and 6 feet wide. The sand is filled to a depth of 2 feet.
What is the volume of sand in the sandbox?
Solution:
V = length × width × height
V = 10 × 6 × 2 = 120 cubic feet
A runner completes 2 miles of a race.
How many feet did the runner complete?
Answer:
1 mile = 5,280 feet
2 × 5,280 = 10,560 feet