Answer :
To find the total weight of the shipment, we need to add the weights of the three packages that were shipped to New York. These weights are given as mixed numbers. Here's how you can calculate it step-by-step:
1. Convert each mixed number to a decimal:
- The first package weighs [tex]\(45 \frac{2}{5}\)[/tex] pounds. This is calculated as:
[tex]\[
45 + \frac{2}{5} = 45 + 0.4 = 45.4 \, \text{pounds}
\][/tex]
- The second package weighs [tex]\(126 \frac{1}{2}\)[/tex] pounds. This is calculated as:
[tex]\[
126 + \frac{1}{2} = 126 + 0.5 = 126.5 \, \text{pounds}
\][/tex]
- The third package weighs [tex]\(88 \frac{3}{4}\)[/tex] pounds. This is calculated as:
[tex]\[
88 + \frac{3}{4} = 88 + 0.75 = 88.75 \, \text{pounds}
\][/tex]
2. Add the decimal weights to find the total weight:
Add the weights of all three packages together:
[tex]\[
45.4 + 126.5 + 88.75 = 260.65 \, \text{pounds}
\][/tex]
Therefore, the total weight of the shipment is [tex]\(260 \frac{13}{20}\)[/tex] pounds when converted back to a mixed number form or simply [tex]\(260.65\)[/tex] pounds in decimal form.
1. Convert each mixed number to a decimal:
- The first package weighs [tex]\(45 \frac{2}{5}\)[/tex] pounds. This is calculated as:
[tex]\[
45 + \frac{2}{5} = 45 + 0.4 = 45.4 \, \text{pounds}
\][/tex]
- The second package weighs [tex]\(126 \frac{1}{2}\)[/tex] pounds. This is calculated as:
[tex]\[
126 + \frac{1}{2} = 126 + 0.5 = 126.5 \, \text{pounds}
\][/tex]
- The third package weighs [tex]\(88 \frac{3}{4}\)[/tex] pounds. This is calculated as:
[tex]\[
88 + \frac{3}{4} = 88 + 0.75 = 88.75 \, \text{pounds}
\][/tex]
2. Add the decimal weights to find the total weight:
Add the weights of all three packages together:
[tex]\[
45.4 + 126.5 + 88.75 = 260.65 \, \text{pounds}
\][/tex]
Therefore, the total weight of the shipment is [tex]\(260 \frac{13}{20}\)[/tex] pounds when converted back to a mixed number form or simply [tex]\(260.65\)[/tex] pounds in decimal form.
