• Aug 1st 2008, 09:53 PM
Iamlost
my daughter needs help with her math homework and I have no idea what I am doing....

George enjoys listening to 7/8 of his CD collection. Of the CDs he enjoys, 3/4 are considered Heavy Metal. What fraction of his Collection are heavy metal CDs that he enjoys? Explain why your answer is less than 3/4?

I am sure I can figure out most of it if you will just explain the procedure.
• Aug 2nd 2008, 05:28 AM
Quick
Quote:

Originally Posted by Iamlost
my daughter needs help with her math homework and I have no idea what I am doing....

George enjoys listening to 7/8 of his CD collection. Of the CDs he enjoys, 3/4 are considered Heavy Metal. What fraction of his Collection are heavy metal CDs that he enjoys? Explain why your answer is less than 3/4?

I am sure I can figure out most of it if you will just explain the procedure.

To get $\displaystyle \frac{3}{4}$ of a hundred cd's, you say: $\displaystyle 100\cdot\frac{3}{4}$ which equals 75. A similar process is used for this problem.

So George likes $\displaystyle \frac{7}{8}$ of his CD's, and $\displaystyle \frac{3}{4}$ of those are heavy metal.

So to find what franction he likes is heavy metal, you have to multiply $\displaystyle \frac{7}{8}$ by $\displaystyle \frac{3}{4}$

so: $\displaystyle \frac{7}{8}\cdot \frac{3}{4} = \frac{7\cdot 3}{8\cdot 4} = \frac{21}{32}$

So The fraction of cd's he enjoys that are heavy metal is $\displaystyle \frac{21}{32}$