Which pair of ratios is proportional?
A.
4/9 and 16/45
B.
5/12 and 25/144
C.
12/18 and 18/27
D.
15/20 and 17/10
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OpenStudy (kittiwitti1):
proportion and cross multiply
OpenStudy (igreen):
You can cross multiply and see if they equal each other..
\(\dfrac{4}{9} = \dfrac{16}{45}\)
\(\dfrac{4}{9} \nearrow \dfrac{16}{45}\)
\(\dfrac{4}{9} \searrow \dfrac{16}{45}\)
OpenStudy (kittiwitti1):
\[\text{first one: }[4\times 45=9\times 16]?\]
OpenStudy (s117):
first one = 144/180
OpenStudy (kittiwitti1):
no
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OpenStudy (kittiwitti1):
does 4 x 45 = 9 x 16
OpenStudy (s117):
fliped it srry 180/144
OpenStudy (kittiwitti1):
._.
OpenStudy (igreen):
That gives you 180 = 144, not 180/144
And 180 doesn't equal 144, so the first one is incorrect.
OpenStudy (kittiwitti1):
\[180\ne 144\]
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OpenStudy (igreen):
Try:
\(\dfrac{12}{18} = \dfrac{18}{27}\)
OpenStudy (s117):
k
OpenStudy (kittiwitti1):
\[\text{does }12\times 27=18\times 18?\]
OpenStudy (s117):
324 for both
OpenStudy (kittiwitti1):
Then you have your answer :)
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OpenStudy (s117):
thnx @iGreen and @kittiwitti1
OpenStudy (igreen):
Yep, so C's our answer.
OpenStudy (kittiwitti1):
When you put the fractions in a proportion and the cross-multiplication values are equal, you have two equivalent fractions.
You're welcome :)