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.

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

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.

First, find a common multiple of 2 and 3

What is the smallest one?

#1. If 3 x 2 = 6, what is 2 x 2?

#2. If 2 x 3 = 6, what is 1 x 3?

Okay, so:

2/3 = 4/6
1/2 = 3/6.

What is 3 x 4?

What is 6 x 6?

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?

Yes, you are correct.

But, can 6/9 be simplified once more?
Can it be simplified twice more?

Wait hold up. I did this wrong.

Can both 12 and 36 be divided by 12 evenly?

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!!

You are very welcome! If you need help sorting your equations that you wrote down, just let me know!

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

Yeah that looks nice!

Thanks again!!!

How DID you get your answer?

I used a calculator but i have to write out the equation as well.

6 12 18 and 24.

2x2 = 4

1x3 = 3

3 x 4 = 12

36

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.

6 can be simplified to 2. 9 cannot be simplified again without getting a number like 4.5.

I think

Can 9 be divided by 3? Can 6 be divided by 3?

Yes. 6 divided by 3 is 2.

9 divided by 3 is 3

and 2 divided by 2 is 1