Mathematics
10 Online
OpenStudy (durply):
HELP PLZZ!!MEDAL and FAN
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OpenStudy (durply):
OpenStudy (durply):
i need 3 corrected
OpenStudy (michele_laino):
hint:
we have:
\[\begin{gathered}
- \frac{5}{{12}} = - \frac{{25}}{{60}} \hfill \\
\hfill \\
- \frac{2}{5} = - \frac{{24}}{{60}} \hfill \\
\end{gathered} \]
OpenStudy (durply):
O SNAP THEY ARE NEGATIVE
OpenStudy (durply):
lol so A
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OpenStudy (michele_laino):
correct!
OpenStudy (durply):
OpenStudy (michele_laino):
-5/7 is negative, so it is located before the number zero:
|dw:1434081055552:dw|
OpenStudy (durply):
yup
OpenStudy (durply):
so far so good
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OpenStudy (michele_laino):
now we have to locate the remainig 2 fractions. what is the least common multiple between 5 and 9?
OpenStudy (durply):
2/9
OpenStudy (michele_laino):
no, it is 45
OpenStudy (durply):
what...
OpenStudy (michele_laino):
do you know what is the least common multiple?
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OpenStudy (durply):
ya
OpenStudy (michele_laino):
ok! So the least common multiple between 5 and 9 is 45
OpenStudy (durply):
you cant do that
OpenStudy (michele_laino):
namely it is their product: 9*5=45
OpenStudy (durply):
they are both odd
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OpenStudy (skullpatrol):
Rewrite 3/5, 2/9 with a common denominator
OpenStudy (durply):
o
OpenStudy (durply):
45 ok i see
OpenStudy (michele_laino):
so we can write this:
\[\begin{gathered}
\frac{3}{5} = \frac{{27}}{{45}} \hfill \\
\hfill \\
\frac{2}{9} = \frac{{10}}{{45}} \hfill \\
\end{gathered} \]
OpenStudy (skullpatrol):
27 > 10
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OpenStudy (durply):
o I GET IT!!!
OpenStudy (michele_laino):
we have the subsequent graph:
|dw:1434081491171:dw|
OpenStudy (skullpatrol):
You can only compare fractions with a common denominator.
OpenStudy (durply):
SO I WAS RIGHT YAAAA!!!
OpenStudy (skullpatrol):
Or just use your calculator
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OpenStudy (michele_laino):
for example, for 3/5, we have:
45/5 = 9, then 9*3=27, therefore we can write:
\[\frac{3}{5} = \frac{{27}}{{45}}\]
similarly for 2/9
OpenStudy (durply):
wait :S was i correct
OpenStudy (michele_laino):
yes!
OpenStudy (skullpatrol):
3/5 = 0.6
OpenStudy (michele_laino):
it is option C
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OpenStudy (durply):
ok XD
OpenStudy (durply):
OpenStudy (durply):
Im i correct
OpenStudy (durply):
am*
OpenStudy (michele_laino):
we can write this:
\[\begin{gathered}
- \frac{5}{8} = - \frac{{1575}}{{2520}},\quad - \frac{7}{9} = - \frac{{1960}}{{2520}}, \hfill \\
\hfill \\
- \frac{4}{5} = - \frac{{2016}}{{2520}},\quad - \frac{3}{7} = - \frac{{1080}}{{2520}} \hfill \\
\end{gathered} \]
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OpenStudy (durply):
wow you are good
OpenStudy (michele_laino):
since the least common multiple of 8, 9, 5 and 7 is 2520
OpenStudy (michele_laino):
so, what is the right option?
OpenStudy (durply):
B
OpenStudy (michele_laino):
that's right!
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OpenStudy (durply):
Thanks so much you did AWESOME
OpenStudy (michele_laino):
:)