Question

rosa needs to mail two packages.one weighs 5/8 of a pound and the other weighs 2/3 of a pound. what is the total weight of the two packages? how much heavier is rosa's second package than the first?

Answer 1

The answer of this problem is 1.2916

Answer 2

Package #1 = 5/8
Package #2 = 2/3

So for both fractions (5/8 and 2/3), we need to have a common denominator. In this case, the common factor of 8 and 3 is 24.

1. Multiply 5/8 by 3


`(5*3)/(8*3) = (15)/(24)`

2. Multiply 2/3 by 8


`(2*8)/(3*8) = (16)/(24)`

3. Simplify


`(15)/(24) + (16)/(24) = (31)/(24)`


`(31)/(24) = 1(7)/(24)`

The total weight of the two packages is 1 and 7/24

Package #1 = 15/24
Package #2 = 16/24

Subtract:

`(16)/(24) - (15)/(24) = (1)/(24)`

The second package is 1/24 heavier than the first package.