Not if it is a glass marble, but you can get metal marbles which would be magnetic in many cases.
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One possible way to separate wooden marbles from glass marbles is by using a magnetic field. Since wooden marbles are typically not magnetic, while glass marbles are also not magnetic, one can use a strong magnet to attract and separate the wooden marbles from the glass marbles. The magnet will attract the wooden marbles while the glass marbles will remain unaffected and can be easily sorted out.
He will have 13 blue marbles and 10 green marbles.
12 blue marbles
24
The fraction is 3/15.