tiffany is sending a package that may not exceed pounds. the package contains books that weigh a total of 9 3/8 pounds. the other item to be sent weighs 3/5 the weight of the books. how much does the package weigh
(3/5) * (75/8) = 225/40 = 45/8 = 5 5/8
9 3/8 + 5 5/8 = 14 8/8 = 15 pounds
To find out how much the package weighs, we first need to determine the weight of the other item to be sent.
The books weigh a total of 9 3/8 pounds. We can rewrite this as a mixed number:
9 3/8 = 8 + 1 + 3/8 = 8 3/8
So, the books weigh 8 3/8 pounds.
Now, we need to find the weight of the other item. It is mentioned that the other item weighs 3/5 the weight of the books. To calculate this, we multiply the weight of the books by 3/5:
(8 3/8) x (3/5)
To multiply mixed numbers, we first convert them to improper fractions:
(8 + 3/8) x (3/5) = (67/8) x (3/5)
Next, we multiply the numerators and denominators:
(67/8) x (3/5) = (201/40)
So, the other item weighs 201/40 pounds.
To find the total weight of the package, we add the weight of the books and the weight of the other item:
8 3/8 + 201/40
To add mixed numbers, we convert them to improper fractions and then add the fractions separately:
(8 + 3/8) + (201/40) = (67/8) + (201/40)
To add fractions, we need a common denominator, which in this case is 40:
(67/8) + (201/40) = (335/40) + (201/40) = (535/40)
Finally, we can simplify the fraction:
535/40 = 13 7/40
Therefore, the package weighs 13 7/40 pounds.