A student has 58 gallons of popcorn and gives away he wants to split it evenly between his six friends how much popcorn does each receive



Answer :

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.