Question

Maya chatted with all her friends for 2/3 of an hour on Saturday and 1/4 of an hour on Sunday. During that time period, she chatted with Paul for 1/8 of an hour. What fraction of the time Maya spent chatting with her friends online was spent chatting with Paul?

Answer 1

@wio

Answer 2

Find the total time she spent chatting.

Answer 3

I got 11/96 because I added 8/12+3/12=11/12 => 11/12*1/8=11/96. Am I correct?

Answer 4

Find the time she spend chatting with Paul. Divide this by the time spent chatting.

Answer 5

Am i correct?

Answer 6

@agent0smith

Answer 7

Doesn't "of" mean to multiply?

Answer 8

yeah

Answer 9

So am i correct?

Answer 10

I don't think so.

Answer 11

Well the choices that I got are:
11/96
3/22
19/24
25/24

Answer 12

I think they want: \[
\frac{1/8}{2/3+ 1/4+1/8}
\]

Answer 13

You might be correct, I just don't know that you are doing it correctly.

Answer 14

I dont know why but while computing:
\[\frac{ \frac{ 1 }{ 8 } }{ \frac{ 2 }{ 3 }+\frac{ 1 }{ 4 }+\frac{ 1 }{ 8 } } = \frac{ 3 }{ 25 }\]
For some reason.

Answer 15

oh wait! I misread. It should be \[
\frac{1/8}{2/3+1/4}
\]

Answer 16

So you're saying that it should be 3/22? Can you explain how you got this equation?

Answer 17

Well. \(2/3+1/4\) is the total.

Answer 18

I did \[
\frac{chat\ with\ Paul}{chat\ total}
\]

Answer 19

No pun intended, but doesnt "What fraction of the time.." mean multiplying?

Answer 20

Yes, the "of" here means that we can multiply this fraction by the total time to get the time spent chatting will Paul.

Answer 21

So what do you think we should do?

Answer 22

Basically we have: \[
\text{fraction} \times \text{chat total} = \text{chat with Paul}
\]Then, it becomes: \[
\text{fraction} = \frac{ \text{chat with Paul}}{\text{chat total}}
\]

Answer 23

What do you mean by "fractions"?

Answer 24

So, it was multiplication, but we had to divide to get the part we wanted.

Answer 25

Sorry for asking all these questions, but why should we divide instead of multiply?

Answer 26

To get the amount of time Maya chatted with Paul.

Answer 27

I really need this to be correct. I might get graded.

Answer 28

What fraction of the time Maya spent chatting with her friends online was spent chatting with Paul?

\[
\text{What } \color{red}{\text{fraction}} \text{ of the } \color{blue}{\text{time Maya spend chatting with her friends online}} \\\\
\text{ was spent } \color{green}{\text{chatting with Paul}}\text{?}
\]
The red part is what we are looking for. This corresponds to \[
\color{red}{\text{fraction}} \times \color{blue}{\text{total chatting online}} = \color{green}{\text{time chatting with Paul}}
\]Then, it becomes: \[
\color{red}{\text{fraction}} = \frac{ \color{green}{\text{time chatting with Paul}} }{ \color{blue}{\text{total chatting online}} }
\]

Answer 29

SO you are saying that if I multiply 3/22 by 11/12, i will get 1/8?

Answer 30

Yes.

Answer 31

Thanks.