LCM
What is the definition of LCM
Smallest Multiple that two or more numbers have in common
What is the definition of GCF?
Greatest Number (factor) that can divide two or more numbers.
If you are dividing a whole number by a fraction you must first do what to the whole number?
Put a 1 underneath it to make it a fraction.
What is cutting something into pieces
Find the GCF
1/2 ÷ 1/3
3/2 = 1 1/2
What is the LCM 2 and 9
The LCM is 18
What is the GCF of 8 and 12
GCF is 4
When dividing fractions, what do you do to the first fraction in the problem?
KEEP it the same.
What is finding the maximum?
Find the GCF
3/4 ÷ 2/5
15/8 = 1 7/8
What is the LCM of 5 and 15
LCM is 15
What is the GCF of 12 and 24?
The answer is 12.
When dividing fractions, what do you do to the division sign?
Change it to multiplication.
Example: Tacos are served every 5 days
Find the LCM
6 ÷ 2/4
12
What is LCM 25 and 75
LCM IS 75
What is the GCF of 36 and 24?
The answer is 12.
When dividing fractions, what must you do to the second fraction in the problem?
Find its reciprocal or flip it
I am planting 50 apple trees and 30 peach trees in rows. I want to mix the apple and peach trees in my rows, and I want each row to be the same. What is the maximum number of trees I can plant per row?
Find the GCF, 10
At the end of the day, a bakery had 3/4 of a pie left over. The employees decided to split the leftovers equally, and each took home 1/4 of a pie. How many employees were at the bakery?
12/4 = 3
Cups are sold 6 to a package and plates are sold 8 to a package. If you want to have the same number of each item for a party, what is the least number of packages of each you need to buy?
24 cups
Kamal has 6 cans of regular soda and 15 cans of diet soda. He wants to create some identical refreshment tables that will operate during the American football game. He also doesn't want to have any sodas left over. What is the greatest number of refreshment tables that Kamal can stock?
3 tables
Also know as the multiplicative inverse. Found by flipping the numerator and denominator of a fraction. When a number is multiplied by this, it will equal 1.
Example: 1/2 X 2/1 = 1
Reciprocal
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?
Find the LCM, 75 minutes
3 1/3 ÷ 2 2/5
10/3 x 5/12 = 50/36 = 25/18 = 1 7/8