Anita has written a book of tips on staying healthy. Each book weighs 15/16 lb. If she packs 12 books in a box for shipping, what will be the shipping weight, excluding the box? Convert the answer to a mixed number.
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[1BOTHELP2BRO3]+
asked by [1BOTHELP2BRO3]+
calendar icon3 months ago
To find the total weight of the books, we need to multiply the weight of one book by the number of books in the box.
Weight of one book: 15/16 lb
Number of books in the box: 12
Total weight of the books = (15/16 lb) * 12
To multiply fractions, we multiply the numerators together and then the denominators together:
Total weight of the books = (15 * 12) / (16)
To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and denominator, which in this case is 3:
Total weight of the books = (5 * 3 * 4) / (16 * 1)
Total weight of the books = 60 / 16
We can simplify this fraction further by dividing both the numerator and denominator by 4:
Total weight of the books = 15 / 4
So, the shipping weight of the books, excluding the box, is 15/4 lb. To convert this to a mixed number, we divide the numerator (15) by the denominator (4):
15 รท 4 = 3 remainder 3
Therefore, the shipping weight of the books, excluding the box, is 3 3/4 lb.