Question

1. you are shipping three care packages. the first package weighs $10\frac{1}{10}$ pounds. the second weighs $5\frac{7}{10}$ pounds, and the third weighs $25\frac{8}{10}$ pounds. what is the total weight of the packages?

Explanation:

Step1: Convert mixed numbers to improper fractions (or add whole and fractional parts separately)

First, add the whole number parts: \(10 + 5 + 25 = 40\)
Then, add the fractional parts: \(\frac{1}{10} + \frac{7}{10} + \frac{8}{10} = \frac{1 + 7 + 8}{10} = \frac{16}{10}\)

Step2: Simplify the fractional sum and add to the whole number sum

Simplify \(\frac{16}{10}\) to \(1\frac{6}{10}\) (or \(\frac{8}{5}\) or \(1.6\)). Now add to the whole number sum: \(40 + 1\frac{6}{10} = 41\frac{6}{10}\)
Simplify \(41\frac{6}{10}\) to \(41\frac{3}{5}\) (or \(41.6\))

Answer:

The total weight of the packages is \(41\frac{3}{5}\) pounds (or \(41.6\) pounds).