Math (Fraction Word Problem)

posted by Joey

You have three-fifths of a pizza leftover, and you plan to eat half of it for lunch. How much of the original pizza do you have left over?

If I have 3/5 of a pizza leftover and I plan to eat 1/2 of it for lunch doesn't that mean you have to divide?

This is the answer they gave me: to find 1/2 of 3/5 of a pizza. When finding a fraction of something, use multiplication (for example, 1/2 of 1/2 = 1/2 x 1/2 = 1/4). Therefore, this is a multiplication problem.

I don't get why I have to multiply instead of dividing when finding a fraction of something? Can someone please explain why? Any help is grateful! Thanks :)

  1. Damon

    (3/5) / 2 = 3/10

    is exactly the same as

    (3/5)(1/2) = 3/10

    multiplying by 1/2 is dividing by 2
    ==================================

    details:
    (3/5) / 2
    multiply by 5/5
    = 5(3/5)/[5*2]
    = 3/10

    or
    (3/5)(1/2)
    multiply by 5/5
    3/10

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