Multiplying fractions
2/3 * 4
2 2/3
Find the Greatest Common Factor (GCF) of: 22 and 77
The GCF is 11
Find the Least Common Multiple (LCM) of: 12 and 4.
The LCM is 12.
Divide the following fractions:
5/8 div 2 3/4
5/22
What are the steps to dividing fractions?
Keep, Change, Flip
then multiply and simplify
2 ½ × 1 ⅓
3 1/3
Find the Greatest Common Factor (GCF) of 15 and 35 using prime factorization.
The GCF is 5.
Find the Least Common Multiple (LCM) of: 6 and 7.
The LCM is 42.
Divide the following fractions:
3/5 div 1/8
4 4/4
Michael runs 4.75 miles every day. If he runs for 6 days, how many total miles does he run?
28.5 miles
One chess game in a tournament is 1/4 of an hour. The tournament has a total of 8 games.
How long time will the tournament take?
2 hours
Find the Greatest Common Factor (GCF) of: 21 and 28 using prime factorization.
The GCF is 7.
Find the Least Common Multiple (LCM) of: 3 and 9.
The LCM is 9.
A giraffe is 18 feet tall, while a chinchilla is 3/5 feet tall. How many times taller is the giraffe than the chinchilla?
The giraffe is 30 times taller than the chinchilla.
Round to the nearest hundredth 2.87102
Round to the nearest tenth 2.87102
hundredth: 2.87
tenth: 2.9
Elena needs 1 1/8 hours to finish a test. How many hours does she need to finish 6 tests, if all of them take an equal amount of time?
6 3/4 hours
A hall has 48 chairs and 60 tables. The event planner wants to arrange the chairs and tables into identical groups with none left over. What is the largest number of identical groups she can make?
12 groups
Benjamin needs to stir his pot every 20 minutes. His favorite TV show has a commercial break every 15 minutes.
How often will the two coincide? (play at the same time)
Ollie has 9/10 of a yard of fabric left for his sewing projects. Each project requires 1/20 of a yard. How many projects can he complete?
18 projects
Isaiah, Nyesha, Campbell, and Markel went to the UCHS football game. Their total cost for the tickets and food was $23.98. If they split the cost equally, how much will each pay? Round to the nearest tenth.
$6
A sports venue has 200 seats. 1/4 of the seats are on east end. On the east end, 1/2 of the seats are reserved for children.
What is the share of seats reserved for children in the east end to the total seats in the venue?
1/8 of the total seats
A farmer has 42 carrots and 56 potatoes. He wants to make identical baskets using all the vegetables. What is the greatest number of baskets he can make?
(What are the key words to know what we are solving for?)
14 baskets
Two buses leave the station at the same time. Bus A comes every 12 minutes, and Bus B comes every 15 minutes. After how many minutes will the two buses arrive at the station together again?
(What key words let us know what we are solving for?)
60 minutes
Sophie is creating a path with stone slabs. Each slab is
2 1/2 feet long. Sophie has a total of 20 feet of stones.
How many slabs can she use to create the path?
8 slabs
In your own words, what is a Reciprocal?
The reciprocal is the fraction flipped over, or switching its numerator and denominator. Ex: 1/3 --> 3/1
A class with 30 students is trying to collect money for a field trip. Of them, 1/3 is in baking pastries for the carnival to sell. Half of the students making pastries are making cinnamon rolls.
How big of a fraction of the total students are making cinnamon rolls?
1/6 of the class is making cinnamon rolls
A printing company has 84 blue pages and 126 red pages. They want to print booklets using all the pages with each booklet having the same number of pages. What is the maximum number of booklets they can make?
(Use prime factorization to solve)
42 booklets
Three runners start at the same point on a track. Runner A completes a lap every 8 minutes, Runner B every 12 minutes, and Runner C every 20 minutes. After how many minutes will they all meet at the starting point together again?
(What key words let us know what we are solving for?)
120 minutes
Samantha baked 2 ½ cakes for a party. If each table at the party gets ¾ of a cake, how many tables can she serve?
3 full tables
Key words in a word problems describing either GCF or LCM
GCF: Greatest number, distributed equally, etc.
LCM: Least amount, same time, etc.