Using the conversion between fractions and mixed numbers, it is found that the total weight of the shipment was of 260 31/40, as a mixed number.
How to convert mixed fractions to standard fractions?
A mixed fraction is represented by:
a b/c.
In which:
Applying the least common factor, the conversion is given by:
(ac + b)/c
The weights, in standard fractions, are given as follows:
The total weight is the sum of the weights, hence:
[tex]\frac{227}{5} + \frac{507}{4} + \frac{709}{8} = \frac{1816 + 5070 + 3545}{40} = \frac{10431}{40}[/tex]
10431 divided by 40 has a quotient of 260 with a remainder of 31, hence the mixed number is:
260 31/40.
More can be learned about the conversion between fractions and mixed numbers at https://brainly.com/question/1746829
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