Question

if 4/5 of a can was filled with pineapple juice and ryan drank 1/2 of it what fraction of juice is remaining in the can

Answer 1

`(2)/(5)`

Explanation:

Let x = Volume of can

Then:

`(4)/(5) x` = Amount of pineapple Juice filled in the can

Ryan drinks half of the amount of pineapple Juice present in the can:

`(1)/(2)` ×
`(4)/(5)x` =
`(4)/(10)x`

Divide the numerator and denominator by the Highest Common Factor '2’:•

`= (2)/(5)x`

∴Amount of Juice remaining =
`(4)/(5)x - (2)/(5)x`

=
`((4 - 2)/(5))x`

=
`(2)/(5)x`

∴Fraction remaining =
`(2)/(5)`