What is the ratio 15 : 24 written in lowest terms? A. 3:5 B. 5:8 C. 3:4 D. 7:8
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OpenStudy (anonymous):
hi
OpenStudy (quickstudent):
Hi xgamer! I'm looking at it, just give me a moment:)
OpenStudy (anonymous):
k
OpenStudy (anonymous):
C
OpenStudy (anonymous):
is he right?
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OpenStudy (quickstudent):
So, all you need to do to write 15:24 in lowest terms is simplify it just the way you would simplify fractions.
OpenStudy (anonymous):
ok so c is right?
OpenStudy (quickstudent):
No, that one isn't it. Would you like me to walk you through simplifying?
OpenStudy (anonymous):
yes plz
OpenStudy (anonymous):
So how is C. not right
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OpenStudy (anonymous):
idk
OpenStudy (quickstudent):
Ok, so to simplify a ratio is just the same as simplifying a fraction. To simplify a proper fraction, you take the greatest common factor of the numerator and denominator, or in this case, both numbers of the ratio.
OpenStudy (quickstudent):
Do you know what the GCF of 15 and 24 is?
OpenStudy (anonymous):
not really im horible at this stuff
OpenStudy (quickstudent):
Well the GCF just means the biggest factor that both numbers have. So let's look at the factors of both numbers:
15: 1, 3, 5, 15
24: 1, 2, 3, 6, 8, 12, 24
Do you see a common factor in both lists?
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OpenStudy (quickstudent):
In other words, do you see a factor that both numbers have?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
3 and 1
OpenStudy (quickstudent):
Great:) So we already know that 3 is the bigger one, so now we divide the two numbers by 3:
15/3
24/3
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
5 and 8 i got
OpenStudy (anonymous):
so B?
OpenStudy (quickstudent):
Exactly! Yes, that is the correct answer:)
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
ready for next 3?
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