The combined weight of both boxes is: [tex]11\frac{19}{45}\ kilograms[/tex]
Step-by-step explanation:
We have to add the fractional weight of both boxes to find the combined weight of both boxes.
Given
Weight of Box 1: [tex]8\frac{2}{9}[/tex] kilograms
Weight of Box 2: [tex]3\frac{2}{10}[/tex] kilograms
So the total weight will be:
[tex]= 8\frac{2}{9} + 3\frac{2}{10}[/tex]
Simplifying the fractions
[tex]=\frac{74}{9} + \frac{32}{10}\\\\= \frac{74(10)+32(9)}{90}\\\\=\frac{740+288}{90}\\\\=\frac{1028}{90}\\\\=11\frac{38}{90}\\\\=11\frac{19}{45}\\[/tex]
Hence,
The combined weight of both boxes is: [tex]11\frac{19}{45}\ kilograms[/tex]
Keywords: Fractions, addition
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