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Mathematics 19 Online
OpenStudy (anonymous):

What is the ratio 15 : 24 written in lowest terms? A. 3:5 B. 5:8 C. 3:4 D. 7:8

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?

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

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?

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

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?

OpenStudy (quickstudent):

Sure:) please open another question for it:)

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