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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 ?
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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
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OpenStudy (kittiwitti1):
Okay, so you have your equation...\[\frac{3}{16}\times\frac{4}{21}\]Anything that can be factored/canceled?
Hint #2: you will get 1 as the numerator in both fractions if you cross-cancel correctly
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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?
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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.\[\frac{3\times4}{4\times4\times3\times7}\]
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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. :(
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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?
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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?
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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.
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