Question

Martin has 2 4/5 quarts of juice. He pours the same amount of juice into 2 bottles. How much does he pour into each bottle? Can you show this by step by step?

Answer 1

Converting the mixed fraction into an improper fraction we get:

`2(4)/(5)=(10)/(5)+(4)/(5)=(14)/(5).`

Side note:

Recall that:

`((a)/(b))/(c)=((a)/(b))/((c)/(1))=(1\cdot a)/(c\cdot b)\text{.}`

Example:

`((5)/(6))/(7)=((5)/(6))/((7)/(1))=(1\cdot5)/(7\cdot6)=(5)/(42)\text{.}`

End of note.

Dividing by 2 we get:

`((14)/(5))/(2)=(14)/(2\cdot5)=(2\cdot7)/(2\cdot5)=(7)/(5)\text{.}`

Therefore Martin pours

`(7)/(5)\text{quarts}`

of juice into each bottle.

Answer:

`(7)/(5)\text{quarts}`