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OpenStudy (solomonzelman):
\(\Huge\color{blue}{ \sf \frac{10}{24}= \frac{10 \color{red} {\times x } }{24\color{red} {\times x } } }\)
OpenStudy (solomonzelman):
whether x is a fraction or a whole number. (no mater what x is)
OpenStudy (anonymous):
> that is not suppose to be there
OpenStudy (solomonzelman):
I figured :)
OpenStudy (solomonzelman):
you see what I mean. you can divide top and bottom by any number (as long it's divided by same thing on top as on bottom) and get a ratio that's equivalent.
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OpenStudy (solomonzelman):
like 5/12 (for instance)
OpenStudy (anonymous):
so 5/8
OpenStudy (solomonzelman):
no
OpenStudy (solomonzelman):
\(\huge\color{green}{ \frac{10}{24} }\) \(\huge\color{green}{ =\frac{10\color{red} {\div 2 } }{24\color{red} {\div2 } } =\frac{?}{?} }\)
you tell me
OpenStudy (anonymous):
5/12
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OpenStudy (anonymous):
there is no 5/12
OpenStudy (solomonzelman):
what other options do you have ?
OpenStudy (anonymous):
A-35/84
B-5/6
C-20/36
D5/8
OpenStudy (solomonzelman):
you know that B and D don't work, because the only proportion with a nominator of 5, is with denominator of 12.
right?
OpenStudy (anonymous):
yes
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OpenStudy (solomonzelman):
10/24
does C work?
checking...
20/36
to get 20 you multiply ten TIMES TWO
but if you multiply 24 times 2, you DO NOT get 36