SOLUTION: Hi, Here is the problem I need help with- The diameter of a dinner plate is 1 ft. In a dollhouse set, the diameter of a dinner plate is 1 and 1/4 in.What is the ratio of the

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Question 736387: Hi,
Here is the problem I need help with-
The diameter of a dinner plate is 1 ft. In a dollhouse set, the
diameter of a dinner plate is 1 and 1/4 in.What is the ratio of the diameter of the
dollhouse plate to the diameter of the full-size plate?
Please help me out
This is what I have so far-
1ft= 12 in
I think I have to write as followed
1.25/12 in
but I don't know what to do?
Help please
Thank you
Answer by Simnepi(216) (Show Source):
You can put this solution on YOUR website!
You have done great so far! Writing out the ratios in the correct order is a good place to start, now all we have to do is manipulate the numbers to give us whole numbers!
Ok! let's write the ratio as a fraction rather than a decimal, as that usually makes it easier to see what we have to do.
So we have
(That's one and a quarter to 12!)
Now we multiply BOTH NUMBERS in the ratio by the bottom of the fraction (this eliminates the fraction and turns it into a whole number)
Giving

multiplying out gives
5:48 (see how the fraction has gone!)
Since these numbers now have no common factors we cannot simplify this any further.
so the ratio of the dinner plates is
5:48