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)/

Answer 1

To find the total weight of the 12 books that Anita has packed in a box, you can multiply the weight of each book by the number of books.

Each book weighs \( \frac{15}{16} \) lb, and there are 12 books:

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

Now, carry out the multiplication:

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

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

1. Find the greatest common divisor (GCD) of 180 and 16. The GCD is 4.
2. Divide the numerator and the denominator by their GCD:

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

Now convert \( \frac{45}{4} \) to a mixed number. Divide 45 by 4:

• 4 goes into 45 ten times (4 x 10 = 40), with a remainder of 1.

So, we can express this as:

\[ \frac{45}{4} = 10 \frac{1}{4} \]

Thus, the total shipping weight of the 12 books is:

\[ \boxed{10 \frac{1}{4}} \text{ lb} \]