Tom is making meatloaf with 3/4 pound of turkey and 5/6 pound of ground beef. What is the LCM he should use to find the total number of pounds of meat? How many pounds of meat will be in the meat loaf? Show your work Completely.
12
Multiples of 6:
6, 12, 18, 24
Multiples of 4:
4, 8, 12, 16, 20
Ms. Sue can you tell me how you got that answer please.
thanks mrs. sue. I understand now how I should get the lcm but how do I figure out how many pounds of meat will be in the meat loaf? when I multiply do I work the problem like this....
3/4 *5/6
=9/12*10/12
=90/12
=7 6/12
=7 1/2
is this correct?
Why do you just use the denominators?
12 6x4=24 divided by 2=12
To find the least common multiple (LCM) of two numbers, we need to find the smallest number that is divisible by both numbers without leaving any remainder.
First, let's convert the given weights of turkey and ground beef to a common denominator. The least common multiple of the denominators 4 and 6 is 12.
For the turkey, we can multiply both the numerator and denominator by 3 to get 9/12 pound.
For the ground beef, we can multiply both the numerator and denominator by 2 to get 10/12 pound.
Now, we can add the weights of turkey and ground beef:
9/12 pound + 10/12 pound = 19/12 pound
To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 19 and 12, which is 1.
Therefore, the total weight of meat in the meatloaf is 19/12 pound.
To convert this fraction to a mixed number, we divide the numerator (19) by the denominator (12) to get the whole number part and the remaining fraction.
19 divided by 12 is 1 with a remainder of 7.
So, the meatloaf will contain 1 and 7/12 pounds of meat.
Now, let's find the LCM. We need to find the smallest multiple that is divisible by both 4 and 6.
The multiples of 4 are: 4, 8, 12, 16, 20, 24, ...
The multiples of 6 are: 6, 12, 18, 24, 30, ...
So, the LCM of 4 and 6 is 12.
Therefore, the LCM Tom should use to find the total number of pounds of meat is 12.