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.(1 point) lb

Answer 1

To find the total weight of the 12 books, we can multiply the weight of each book by the number of books:

\[ \text{Weight of one book} = \frac{15}{16} \text{ lb} \]

\[ \text{Total weight of 12 books} = 12 \times \frac{15}{16} \]

Now, we perform the multiplication:

\[ 12 \times \frac{15}{16} = \frac{12 \times 15}{16} = \frac{180}{16} \]

Next, we simplify \(\frac{180}{16}\):

1. Find the GCD of 180 and 16, which is 4.
2. Divide both the numerator and the denominator by their GCD.

\[ \frac{180 \div 4}{16 \div 4} = \frac{45}{4} \]

Now, we convert \(\frac{45}{4}\) to a mixed number. We divide 45 by 4:

\[ 45 \div 4 = 11 \text{ remainder } 1 \]

Thus,

\[ \frac{45}{4} = 11 \frac{1}{4} \]

The shipping weight of the 12 books, excluding the box, is

\[ \boxed{11 \frac{1}{4}} \text{ lb} \]

Answer 2

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