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Multiplying and Dividing Fractions Review
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The product of a "mystery" factor and 7/8 is equal to 21/40. What could this mystery factor be (as a fraction)?
The mystery factor is 3/5.
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The length of a running trail is 12 miles. There are water fountains every 1/3 mile. How many water fountains are along the running trail?
There are 36 water fountains. 12 divided by 1/3 = 36
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Jaxon is sharing 3 bananas with 3 friends. How much banana does each person get?
Each person will get 3/4 of a banana. That would be 3 bananas divided by 4 friends, NOT 4 friends divided by 3 bananas.
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Teams of students in Mrs. Pestorius's room are presenting ELA projects. Each team has 1/6 hour for their presentation. How many teams will present projects in 2 hours?
12 teams can give 1/6 hour presentations in 2 hours.
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Mrs. Wing is preparing to tape up posters made by Sakinah, Isha, and Andrei. She cuts the tape into 1/4 foot pieces. How many pieces can she cut from 5 feet of tape?
Mrs. Wing will get 20 pieces of tape. 5 divided by 1/4 = 20
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Collin's grandfather grows tomatoes in a section of yard that is 4/5 meter long by 2/3 meter wide. What is the area of the tomato patch?
The tomato section is 8/15 square meters.
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Carter is slicing 5 pizzas. Each slice is 1/8 of a pizza. How many pizza slices will there be in all?
There will be 40 slices of pizza, since 5 divided by 1/8 = 40.
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When you divide a unit fraction by a whole number, the quotient is __________ than the unit fraction.
less
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When you divide a whole number by a unit fraction, the quotient is __________ than the whole number.
greater (You are counting pieces or parts of the whole number.)
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Olivia has 1/2 pound of raisins. She plans to eat them for snack over the next 5 days. If she eats the same amount each day, what fraction of a pound of raisins will she eat each day?
Olivia will eat 1/10 of a pound each day. 1/2 divided by 5 = 1/10
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Mia has 1/4 gallon of paint. She pours an equal amount into 3 containers so she and her friends can paint different parts of a backdrop for the school play. What fraction of a gallon of paint is in each container?
Each container has 1/12 of a gallon of paint. 1/4 divided by 3 = 1/12
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Sajan hiked 6 and 2/5 miles along a mountain trail. He stopped to climb a lookout tower 1/4 of the way along his hike. How many miles did Sajan hike before he stopped to climb the lookout tower?
Sajan hiked for 1 and 3/5 miles. 32/5 x 1/4 = 32/20 or 8/5 (if you cancelled); simplified to 1 and 3/5
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Rohini's team played soccer for 3/4 of an hour. She played for 2/3 of the game. How much time did Rohini play?
Rohini played for 1/2 hour. 3/4 x 2/3 = 6/12 or 1/2
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Sophia's favorite beach towel is pink and white with a llama design. The pink part covers 5/8 of the towel. The llama design is on 3/5 of the pink part. What part of the whole towel has a llama design on it?
3 of 8 parts have a llama design, so the answer is 3/8 of her towel.
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Greg had 3/5 of a gallon of paint left in the can. He used 2/3 of it to paint a cabinet. How much of the whole gallon of paint did he use?
Greg used 2/5 of a gallon of paint. 3/5 x 2/3 = 2/5
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Sahara drew a model. Write the equation and product to this model.
2/4 x 1/3 = 2/12 or 1/6
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There are 4 packages of printer paper to be shared equally among 6 classrooms. How much of a package of paper will each classroom get?
Each classroom will get 4/6 or 2/3 package of paper.
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Mrs. Simmons uses 1/4 yard of blue ribbon on a costume she is making for the musical. How many yards of ribbon will she need to make 12 costumes?
Mrs. Simmons will need 3 yards of blue ribbon to make all 12 costumes. 12/1 x 1/4 = 12/4 = 3
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The product of 5/8 and a "mystery" factor is less than 5/8. What could the other factor be?
Any fraction less than 1.
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Write 4 divided by 5 as a fraction.
4/5
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Write 5/6 as a division expression.
5 divided by 6
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Eight students will share 3 pizzas. How much pizza will each student eat?
Each student will eat 3/8 pizza.
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Armaan ate 7/8 of 1/2 of a pizza. How much of a whole pizza did Armaan eat?
Armaan ate 7/16 of a whole pizza?
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Dexter practiced piano for 5/6 hour on Saturday. On Sunday, he practiced 1/2 as long as on Saturday. How long did Dexter practice on Sunday?
Dexter practiced 5/12 hour on Sunday. He practiced less time on Sunday than on Saturday.
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A piece of webbing is 8/3 yards long. Max needs 3/8 of the webbing to make a climbing harness. How much of the webbing does Max need to make the harness?
Max needs 1 yard of webbing to make the harness.
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Kenny has 4 cups of marinara sauce. He needs 3/4 of the sauce to make spaghetti. How many cups of marinara sauce does he use?
Kenny uses 3 cups of marinara sauce.
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