Question
What is 2/3 • 1/2? Remember to simplify to lowest terms.
I know the answer is 1/3. I need help with explaining how i got my answer.
I know the answer is 1/3. I need help with explaining how i got my answer.
Answers
Ms. Sue
How DID you get your answer?
Seriana
Well, the question is, how DID you get your answer. That's what Ms. Sue means. Did you write out your expression using a way of multiplication? Did you use subtraction? Or did you use a calculator because you were stuck? Just be honest.
Trikzz
I used a calculator but i have to write out the equation as well.
Seriana
First, find a common multiple of 2 and 3
Trikzz
6 12 18 and 24.
Seriana
What is the smallest one?
Seriana
#1. If 3 x 2 = 6, what is 2 x 2?
#2. If 2 x 3 = 6, what is 1 x 3?
#2. If 2 x 3 = 6, what is 1 x 3?
Trikzz
2x2 = 4
1x3 = 3
1x3 = 3
Seriana
Okay, so:
2/3 = 4/6
1/2 = 3/6.
What is 3 x 4?
2/3 = 4/6
1/2 = 3/6.
What is 3 x 4?
Trikzz
3 x 4 = 12
Seriana
What is 6 x 6?
Trikzz
36
Seriana
Correct. 4/6 x 3/6 = 12/36. This is a very large fraction, so we must simplify it.
Can both 12 and 36 be divided by 2?
Can both 12 and 36 be divided by 2?
Trikzz
Yes. 12 divided by 2 is 6. 36 divided by 2 = 18. Those numbers can be simplified again right? 12 divided by 2 = 6 and 18 divided by 2 = 9.
Seriana
Yes, you are correct.
But, can 6/9 be simplified once more?
Can it be simplified twice more?
But, can 6/9 be simplified once more?
Can it be simplified twice more?
Trikzz
6 can be simplified to 2. 9 cannot be simplified again without getting a number like 4.5.
Trikzz
I think
Seriana
Can 9 be divided by 3? Can 6 be divided by 3?
Trikzz
Yes. 6 divided by 3 is 2.
9 divided by 3 is 3
9 divided by 3 is 3
Trikzz
and 2 divided by 2 is 1
Seriana
Wait hold up. I did this wrong.
Can both 12 and 36 be divided by 12 evenly?
Can both 12 and 36 be divided by 12 evenly?
Trikzz
12 divided by by 12 is 1
36 divided by 12 is 3.
Answer is 1/3
Thank you very much @Seriana i actually learned something!!
36 divided by 12 is 3.
Answer is 1/3
Thank you very much @Seriana i actually learned something!!
Seriana
You are very welcome! If you need help sorting your equations that you wrote down, just let me know!
Trikzz
How does this look?
Common multiple of 2 and 3 is 6
3 x 2 = 6, what is 2 x 2?
2 x 3 = 6, what is 1 x 3?
2 x 2 = 4
1 x 3 = 3
3 x 4 = 12
6 x 6 36
4/6 x 3/6 = 12/36
12 divided by 12 is 1
36 divided by 12 is 3
1/3
Answer is 1/3
Common multiple of 2 and 3 is 6
3 x 2 = 6, what is 2 x 2?
2 x 3 = 6, what is 1 x 3?
2 x 2 = 4
1 x 3 = 3
3 x 4 = 12
6 x 6 36
4/6 x 3/6 = 12/36
12 divided by 12 is 1
36 divided by 12 is 3
1/3
Answer is 1/3
Seriana
Yeah that looks nice!
Trikzz
Thanks again!!!
Damon
Sorry about interrupting but
2/3 • 1/2
= (2*1) / (3 * 2) = 2/2 * 1/3 = 1 * 1/3
or divide top and bottom by 2
= 1 / 3
2/3 • 1/2
= (2*1) / (3 * 2) = 2/2 * 1/3 = 1 * 1/3
or divide top and bottom by 2
= 1 / 3