Asked by Trikzz

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.
Answered by Ms. Sue
How DID you get your answer?
Answered by 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.
Answered by Trikzz
I used a calculator but i have to write out the equation as well.
Answered by Seriana
First, find a common multiple of 2 and 3
Answered by Trikzz
6 12 18 and 24.
Answered by Seriana
What is the smallest one?
Answered by Seriana
#1. If 3 x 2 = 6, what is 2 x 2?
#2. If 2 x 3 = 6, what is 1 x 3?
Answered by Trikzz
2x2 = 4
1x3 = 3
Answered by Seriana
Okay, so:
2/3 = 4/6
1/2 = 3/6.

What is 3 x 4?
Answered by Trikzz
3 x 4 = 12
Answered by Seriana
What is 6 x 6?

Answered by Trikzz
36
Answered by 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?
Answered by 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.
Answered by Seriana
Yes, you are correct.
But, can 6/9 be simplified once more?
Can it be simplified twice more?
Answered by Trikzz
6 can be simplified to 2. 9 cannot be simplified again without getting a number like 4.5.
Answered by Trikzz
I think
Answered by Seriana
Can 9 be divided by 3? Can 6 be divided by 3?
Answered by Trikzz
Yes. 6 divided by 3 is 2.
9 divided by 3 is 3
Answered by Trikzz
and 2 divided by 2 is 1
Answered by Seriana
Wait hold up. I did this wrong.
Can both 12 and 36 be divided by 12 evenly?
Answered by 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!!
Answered by Seriana
You are very welcome! If you need help sorting your equations that you wrote down, just let me know!
Answered by 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


Answered by Seriana
Yeah that looks nice!
Answered by Trikzz
Thanks again!!!
Answered by 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
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