What is the ratio 12 to 63 written as a fraction in lowest terms?
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OpenStudy (anonymous):
@DanJS
OpenStudy (anonymous):
@563blackghost
OpenStudy (anonymous):
@jabez177
jabez177 (jabez177):
\[\frac{ 12 }{ 63 }\]
jabez177 (jabez177):
What can go into 12 and 63?
Basically what times what equals 12 and 63?
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OpenStudy (danjs):
put them into prime factors
jabez177 (jabez177):
9 is a good factor so:
\[12\div9=?\]
OpenStudy (anonymous):
it equals 1.3
OpenStudy (anonymous):
I think 3
jabez177 (jabez177):
I meant 6 12 divided by 6
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jabez177 (jabez177):
\[12\div6\]
OpenStudy (danjs):
factors
\[\large\frac{ 2^2*3 }{ 7*3^2 }\]
top and bottom have one 3 in common, take those out of both
(2^2) / (7*3)
OpenStudy (anonymous):
it equals 2
OpenStudy (danjs):
4 / 21
jabez177 (jabez177):
Hold up. Never mind me. I messed up.
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OpenStudy (anonymous):
Its ok Steven But I was Right 12/6=2
jabez177 (jabez177):
\[12\div3=?\]
OpenStudy (anonymous):
4 @jabez177
OpenStudy (danjs):
\[\frac{ 12 }{ 63 }=\frac{ 2*2*3 }{ 7*3*3 }\]
both have one 3 in common
jabez177 (jabez177):
Now what you do to the top, you have to do to the bottom.
\[63\div3=?\]
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OpenStudy (danjs):
leaves \[\frac{ 2*2 }{ 7*3 } = \frac{ 4 }{ 21 }\]
OpenStudy (anonymous):
21 @jabez177
jabez177 (jabez177):
Can \[\frac{ 4 }{ 21 }\] be simplified further?
OpenStudy (anonymous):
no
OpenStudy (danjs):
or you can guess and count up factors to see if they work like that, but if you get some weird numbers , like a 4 digit prime number *13 or something, it gets harder
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OpenStudy (anonymous):
Thanks @DanJS and @jabez177 Ya'll both helped a lot and if you guys don't mind can you help me with some more problems but you dont have to