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Mathematics 8 Online
OpenStudy (anonymous):

What is the ratio of 6 stars and 4 hearts ? A.2:3 B.2:5 C.3:2 D.3:5

jimthompson5910 (jim_thompson5910):

What is the GCF of 6 and 4?

OpenStudy (anonymous):

do you know though?

jimthompson5910 (jim_thompson5910):

Yes I do, do you know the GCF of 6 and 4?

jimthompson5910 (jim_thompson5910):

What is the largest factor 6 and 4 share in common?

OpenStudy (anonymous):

yes

jimthompson5910 (jim_thompson5910):

what is the GCF of 6 and 4?

OpenStudy (anonymous):

6:1,2,4 4:1,2,3,6 so the answer is 2

jimthompson5910 (jim_thompson5910):

you got it, so the ratio of 6 to 4 can be reduced to the ratio of 3 to 2 How did I get 3 to 2? I divided 6 by 2 to get 3 (the first part of the ratio) then I divided the second part 4 by 2 to get 2 So 6:4 turns into 3:2 after dividing both parts (6 and 4) by the GCF 2

OpenStudy (anonymous):

oh now i get it thank you =] But then after that it says What is the ratio of all figures to stars? A.5 to 2 B.5 to 3 C.3 to 5 D.2 to 3

jimthompson5910 (jim_thompson5910):

How many figures are there total?

OpenStudy (anonymous):

10

jimthompson5910 (jim_thompson5910):

so there are 10 figures to 6 stars 10:6 what does that reduce to? use the same trick we did above

OpenStudy (anonymous):

do i have to divided it?

jimthompson5910 (jim_thompson5910):

yep divide both parts by what number

OpenStudy (anonymous):

10:1,3,5,7,15,21,35,105 6:1,2,3,6 so i divided by 1 i guess?

OpenStudy (anonymous):

no 3

jimthompson5910 (jim_thompson5910):

10: 2*5 6: 2*3 the GCF is what?

OpenStudy (anonymous):

?

jimthompson5910 (jim_thompson5910):

I listed the factors of both 10 and 6, see any common factors?

OpenStudy (anonymous):

yes its 2

jimthompson5910 (jim_thompson5910):

So you divide both parts of 10:6 by 2 to get....

OpenStudy (anonymous):

the answer right?

jimthompson5910 (jim_thompson5910):

we'll see, what do you get

OpenStudy (anonymous):

i got 5 to 3

OpenStudy (anonymous):

so the answer is 5:3

jimthompson5910 (jim_thompson5910):

now ask yourself: do the numbers 5 and 3 have any factors in common (other than 1)?

OpenStudy (anonymous):

umm well i got 1 still

jimthompson5910 (jim_thompson5910):

so because 1 is the only factor in common, you're done reducing so you're correct, the answer is 5:3 or 5 to 3

OpenStudy (anonymous):

oh okay

OpenStudy (anonymous):

thank you

jimthompson5910 (jim_thompson5910):

np

OpenStudy (anonymous):

i need help with this

jimthompson5910 (jim_thompson5910):

did you get started on it?

OpenStudy (anonymous):

well i don't get this

OpenStudy (anonymous):

what do i have to do

jimthompson5910 (jim_thompson5910):

if you have something like 2 * ( 1 + 7) you can multiply that outer "2" by each term inside the parenthesis like this 2 * 1 + 2 * 7

jimthompson5910 (jim_thompson5910):

Or you can go backwards, and start with something like 8 * 3 + 8 * 9 and turn it into 8 * (3 + 9)

OpenStudy (anonymous):

oh okay

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