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Multiplying and Dividing Fractions Review

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  • When you divide a unit fraction by a whole number, the quotient is __________ than the unit fraction.
    less
  • 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.
  • 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
  • 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.
  • 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.
  • 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
  • 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.
  • 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.
  • Eight students will share 3 pizzas. How much pizza will each student eat?
    Each student will eat 3/8 pizza.
  • 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
  • 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.
  • 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?
  • 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.
  • Sahara drew a model. Write the equation and product to this model.
    2/4 x 1/3 = 2/12 or 1/6
  • Write 5/6 as a division expression.
    5 divided by 6
  • 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.
  • 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.)
  • 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
  • Write 4 divided by 5 as a fraction.
    4/5
  • 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.
  • 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
  • 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
  • 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.
  • 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.
  • 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
  • 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