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Mathematics 7 Online
OpenStudy (nortexplay):

http://imgur.com/a/YFQx5 Help please

OpenStudy (kittiwitti1):

Let's first use a hypothetical model:\[\frac{a}{b}\times\frac{c}{d}=\frac{a\times c}{b\times d}\] Now you have an equation \[\frac{3}{16}\times\frac{4}{21}\]using the modeled equation, try and solve for the answer

OpenStudy (kittiwitti1):

Here is a hint:\[\frac{a}{b}\longleftrightarrow\frac{3}{16}\]\[\frac{c}{d}\longleftrightarrow\frac{4}{21}\]

OpenStudy (nortexplay):

f need to simplify?

OpenStudy (kittiwitti1):

What do you mean?

OpenStudy (nortexplay):

do i need to simplify ?

OpenStudy (kittiwitti1):

Simplify, where?

OpenStudy (nortexplay):

I cant anymore xD

OpenStudy (kittiwitti1):

If you mean cross-cancel, then yes, you can do that. The numerator and denominator can be divided because they are in a division form. Example:\[\frac{3\times8x}{12\times40x}\]The 3 and the 12 simplify to \(\large{\frac{1}{4}}\) and the 8x and 40x simplify to \(\large{\frac{1}{5x}}\).

OpenStudy (kittiwitti1):

The result for that example would be \[\frac{1\times1}{4\times5x}=\frac{1}{20x}\]

OpenStudy (nortexplay):

Yes

OpenStudy (kittiwitti1):

Okay, so you have your equation...\[\frac{3}{16}\times\frac{4}{21}\]Anything that can be factored/canceled?

OpenStudy (nortexplay):

wait

OpenStudy (nortexplay):

ugh

OpenStudy (kittiwitti1):

\[21=3\times7\]\[16=4\times4\]\[\frac{3}{16}\times\frac{4}{21}...\]

OpenStudy (kittiwitti1):

Hint #2: you will get 1 as the numerator in both fractions if you cross-cancel correctly

OpenStudy (nortexplay):

I'm not from us

OpenStudy (kittiwitti1):

\[\frac{3}{16}\times\frac{4}{21}\]\[\frac{3}{4\times4}\times\frac{4}{3\times7}\]Anything that can be canceled?

OpenStudy (nortexplay):

no

OpenStudy (kittiwitti1):

Ok, I think you are confused. I will start over. \[\frac{3}{16}\times\frac{4}{21}=\frac{3\times4}{16\times21}=\frac{3\times4}{(4\times4)\times(3\times7)}\]

OpenStudy (kittiwitti1):

Does that help more?

OpenStudy (nortexplay):

Yes!

OpenStudy (kittiwitti1):

Okay, good :-)

OpenStudy (nortexplay):

Why am i getting 336

OpenStudy (nortexplay):

and 12

OpenStudy (kittiwitti1):

That is an answer, that you can simplify, but first try to simplify this.\[\frac{3\times4}{4\times4\times3\times7}\]

OpenStudy (nortexplay):

it says make your answer in simpliest form

OpenStudy (nortexplay):

what do i do with 336

OpenStudy (kittiwitti1):

Yes, try to simplify the fraction I just gave you.

OpenStudy (nortexplay):

3/4

OpenStudy (kittiwitti1):

No. :(

OpenStudy (nortexplay):

.....

OpenStudy (kittiwitti1):

There is a 4 in the top and a 4 on the bottom, so you can cross those out because 4 divided by 4 is 1. There is a 3 in the top and a 3 on the bottom, so you can also cross those out because 3 divided by 3 is 1.

OpenStudy (kittiwitti1):

After you do that, you have this:\[\frac{\cancel{3\times4}}{\cancel{4\times3}\times4\times7}=\frac{1}{4\times7}=?\]

OpenStudy (nortexplay):

i'm getting 28

OpenStudy (kittiwitti1):

28 in what?

OpenStudy (nortexplay):

4x7

OpenStudy (kittiwitti1):

Yes, but don't forget the top part!\[\frac{\color{red}{1}}{4\times7}\]

OpenStudy (nortexplay):

28and 1

OpenStudy (nortexplay):

erm

OpenStudy (kittiwitti1):

28 and 1? What do you mean?

OpenStudy (nortexplay):

fml

OpenStudy (kittiwitti1):

\[\frac{1}{4\times7}=\frac{1}{28}\]

OpenStudy (nortexplay):

...

OpenStudy (nortexplay):

thats what i said

OpenStudy (kittiwitti1):

I'm sorry, I didn't understand what you said before. Ok, then yes, you got it right.

OpenStudy (kittiwitti1):

I read it as "1 over 28"

OpenStudy (nortexplay):

thats done

OpenStudy (kittiwitti1):

Ok.

OpenStudy (kittiwitti1):

Have fun and good luck studying then ♣

OpenStudy (nortexplay):

tyy

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