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Mathematics 21 Online
OpenStudy (anonymous):

A model is made of a car. The car is 5 feet long and the model is 8 inches long. What is the ratio of the length of the car to the length of the model?

OpenStudy (anonymous):

@dan815

OpenStudy (anonymous):

easiest way is to change feet to inches, and make it a fraction

OpenStudy (anonymous):

ok so how i do that

OpenStudy (anonymous):

well how many inches are in a foot?

OpenStudy (anonymous):

12

OpenStudy (anonymous):

so how many are in 5 feet

OpenStudy (anonymous):

60

OpenStudy (anonymous):

so turn it into a fraction. the ratio of the car=60, and of the model=8. then simplify

OpenStudy (anonymous):

how do i turn it into a fraction

OpenStudy (anonymous):

either 60/8, or 8/60 depending on the wording of the question

OpenStudy (anonymous):

this is wanting the ration of the car to model. so large number would be on top

OpenStudy (anonymous):

ratio*

OpenStudy (anonymous):

so do i dived 60/8 and 8/ 60

OpenStudy (anonymous):

no, don't divide. simplify

OpenStudy (anonymous):

the first one, 60/8. what is the greatest common factor of both numbers?

OpenStudy (anonymous):

8 doesn't go into 60, nor does 7, 6, or 5. 4 does, so how many times does 4 go into 8, and into 60?

OpenStudy (anonymous):

2 and 15

OpenStudy (anonymous):

right

OpenStudy (anonymous):

60 divided by 8 equals 7.5. 15 divided by 2 is also 7.5. now that the fraction is simplified, you can turn it into a ratio. a:b. a is the size of the car, b is the size of the model

OpenStudy (anonymous):

which number go in front 2 or 15

OpenStudy (anonymous):

which number was for the car?

OpenStudy (anonymous):

it is asking for the ratio of the length of the car to the length of the model. so it would be 60:8 as a ratio. but you simplified it. so replace the numbers with the simplified versions

OpenStudy (anonymous):

do 15:2

OpenStudy (anonymous):

i meant so its 15:2

OpenStudy (anonymous):

yep!

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