Dividing
Fractions
Fractions
Liam has 3/4 of a chocolate bar. He wants to share it equally with 3 friends. How much chocolate does each friend get?
Find the prime factorization of 12.
a) 2 × 6
b) 2^2 × 3
c) 3 × 4
d) 2 × 3^3
The correct answer is B.
Find the LCM of 4 and 6.
12 is the LCM
Rebecca has 12 red marbles and 8 blue marbles. She wants to make equal groups of marbles of the same color without mixing them. What is the greatest number of marbles she can have in each group?
Each group can have 4 marbles.
What is 2^3 x 3^2 / 2^2? Simplify your answer.
The answer is 18.
Emma has 2/3 of a yard of ribbon. She wants to cut pieces that are 1/6 yard long. How many pieces can she cut?
Emma can cut 4 pieces.
Find the prime factorization of 30.
a) 2 × 3 × 5
b) 2 × 5 × 6
c) 3 × 10
d) 5 × 6
The correct answer is A.
Two buses leave the station at the same time. Bus A comes every 5 minutes and Bus B every 15 minutes. After how many minutes will both buses be at the station at the same time?
Both buses will be at the station together after 15 minutes.
A baker has 18 chocolate muffins and 24 vanilla muffins. He wants to pack them into boxes so that each box has the same number of muffins and contains only one flavor. What is the greatest number of muffins he can put in each box?
Each box can have 6 muffins.
Find the prime factorization of 48. You answer must include exponents.
2^4 x 3
Sophia ran 5 1/2 miles in 2 days. If she ran the same distance each day, how many miles did she run per day?
Sophia ran 2 and 3/4 miles per day.
Find the prime factorization of 60.
a) 2 × 30
b) 2^2 × 3 × 5
c) 3^3 x 5
d) 2 × 3 × 5^2
The correct answer is B.
Three friends are jogging around a track. Alice runs a lap every 8 minutes, Ben every 12 minutes, and Cara every 16 minutes. How many minutes will it take for all three to be at the starting line together?
All three will be at the starting line together after 48 minutes.
Two friends are arranging chairs for a party. One has 36 chairs and the other has 48 chairs. They want to make equal rows with the same number of chairs in each row. What is the greatest number of chairs they can put in each row?
Each row can have 12 chairs.
How many factors does the number 50 have?
*Not factor pairs!
50 has 6 factors: 1,2, 5, 10, 25, and 50.
A recipe calls for 3 3/4 cups of flour. Each muffin uses 1/2 cup of flour. How many muffins can be made?
*Hint: this should be a whole number.
7 whole muffins can be made.
Find the prime factorization of 84.
a) 2 ×5^3
b)2 x 3 x 14
c) 3 × 2
d) 2^2 x 3 x 7
The correct answer is D.
A gardener waters his plants every 9 days, his neighbor waters every 12 days, and another neighbor waters every 15 days. If they all water their plants today, after how many days will they water on the same day again?
They will water on the same day again after 180 days
A farmer has 84 apples and 126 oranges. He wants to make gift baskets with the same number of fruits of each type, without leftovers. What is the greatest number of apples and oranges he can put in each basket?
Each basket can have 42 fruits.
How many prime numbers are there between 1 and 20?
There are 8 prime numbers: 2, 3, 5, 7, 11, 13, 17, 19
Jack has 7 2/3 liters of juice. He pours it equally into containers that each hold 1 1/4 liters. How many full containers can he fill?
Jack can fill 6 full containers.
Find the prime factorization of 150.
a) 2^2 × 3 × 25
b) 3 X 50
c) 2 x 3 x 5^2
d) 5 × 5 x 6
The correct answer is C.
Three streetlights flash at different intervals: 14 seconds, 18 seconds, and 21 seconds. If they all flash together at 12:00 PM, at what time will they flash together again?
They will flash together again after 126 seconds (2 minutes 6 seconds).
Three schools are donating pencils. School A has 72 pencils, School B has 96 pencils, and School C has 120 pencils. They want to create packs of pencils with the same number in each pack and no leftover pencils. What is the greatest number of pencils in each pack?
Each pack can have 24 pencils.
1 is the only number that is neither prime or composite.