Question

Write the following ratio in simplest form. 32 min:36 min
a) 8:9
b) 8:36
c) 32:9
d) 128:144

Answer 1

@ash2326

Answer 2

@pianoem328 Are there any common factors of 32 and 36?

Answer 3

Um... I'm sorry I'm really bad at math. It might take me a while to figure this out.

Answer 4

ok, take your time. Can you list out factors of 32?

Answer 5

sure i'll try

Answer 6

I think the factors are 1, 2, 4, 8, 16, and 32.

Answer 7

Very good piano, you're correct.

Answer 8

Now list the factors of 36

Answer 9

Alright

Answer 10

I think they are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Answer 11

correct, now look for common factors between the factors of 32 and 36

Answer 12

I think the common factors are 1, 2, and 4.

Answer 13

We will choose the highest factor which is 4

Answer 14

Okay.

Answer 15

now, divide both 32 and 36 by 4
\[32:36=\frac{32}{4}:\frac{36}{4}\]

Answer 16

\[32\div4=8\]

Answer 17

yes, do the same for 36

Answer 18

\[36\div4=9\]

Answer 19

Is that correct?

Answer 20

yes, so we get
\[32:36=8:9\]

Answer 21

Thanks so much @ash2326

Answer 22

piano did you understand?

Answer 23

Yeah I did. I can do the rest of the test now :)

Answer 24

piano are you taking a test right now?

Answer 25

I just started it. That was a question on the lesson not the test.

Answer 26

I wanted to understand it good before I started the test.

Answer 27

piano I'll take your word for now. But please don't ever use Open Study for help in your test, that would be cheating.

Answer 28

Ik that's why I don't do it. Thanks for all the help ash :)

Answer 29

yeah :)