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Answer:
9 ⅔ gallon
Step-by-step explanation:
We are equally splitting 58 gallons of popcorn among 6 friends. This means we need to use division.
We can write this using fraction notation, and simplify the fraction by canceling common factors:
[tex]\dfrac{58}{6}[/tex]
↓ factoring the numerator and denominator
[tex]\dfrac{\not\!2 \cdot 29}{\not\!2\cdot 3}[/tex]
↓ canceling a common factor of 2
[tex]\dfrac{29}{3}[/tex]
↓ rewriting as a mixed number
[tex]\dfrac{27}{3} + \dfrac{2}{3}[/tex]
[tex]\boxed{=9\dfrac{2}{3}}[/tex]
So, each friend gets 9 ⅔ gallon of popcorn.