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jmc

prealgebra intermediate

Problem

A bookcase has 3 shelves with a total of 24 books. The top shelf has 8 mystery books. The middle shelf has 10 math books. The bottom shelf has 6 science books. Two books are now taken off each shelf. What fraction of the books remaining on the three shelves are math books? Express your answer as a common fraction.
Solution
Six books are removed from the shelves, so books remain. Of these, are math books. Therefore, of the books remaining are math books.
Final answer
\frac{4}{9}