12/35 stamps are from Asia. Of these Asian stamps 5/16 are from Thailand. What fraction of the stamp collection are from Thailand?
I want to think I need to divide but I'm not sure it makes sense. 12/35 divided by 5/16= 12/35 times 16/5 = my answer of 192/175. Is this correct? Thank you so much for your help.
To find the fraction of the stamp collection that are from Thailand, you need to divide the number of stamps from Thailand by the total number of stamps in the collection.
First, let's calculate the number of stamps from Thailand. Given that 12/35 stamps are from Asia, we can find the number of Asian stamps by multiplying 12/35 by the total number of stamps:
(12/35) * Total number of stamps = Number of Asian stamps
To find the number of stamps from Thailand, we multiply the number of Asian stamps by 5/16:
(Number of Asian stamps) * (5/16) = Number of stamps from Thailand
Now, to find the fraction of the stamp collection that are from Thailand, we divide the number of stamps from Thailand by the total number of stamps:
(Number of stamps from Thailand) / (Total number of stamps) = Fraction of stamps from Thailand
Let's substitute the values you provided:
(Number of Asian stamps) = (12/35) * Total number of stamps
(Number of stamps from Thailand) = (Number of Asian stamps) * (5/16)
Fraction of stamps from Thailand = (Number of stamps from Thailand) / (Total number of stamps)
So, your calculations are as follows:
(Number of Asian stamps) = (12/35) * Total number of stamps
(Number of stamps from Thailand) = (Number of Asian stamps) * (5/16)
Fraction of stamps from Thailand = (Number of stamps from Thailand) / (Total number of stamps)
However, you made an error in your calculations when you multiplied 12/35 by 16/5. The correct calculation would be:
(Number of stamps from Thailand) = (12/35) * (5/16) = (12 * 5) / (35 * 16) = 60/560
Simplifying 60/560, we get 3/28. Therefore, the fraction of the stamp collection that are from Thailand is 3/28.
So, the correct answer is not 192/175, but rather 3/28.
No. Your answer is more than 1.
(12/35) * (5/16) = ?