Question

Rani ate 2/7 of the cake while her brother ate 4/5 part of the remaining. part of the cake left is?​

Answer 1

Nothing left

Explanation:

Nothing left

2/7+4/5=38/35

1 3/35

Answer 2

`(1)/(7)`

Explanation:

Amount of cake Rani ate =
`(2)/(7)`

You need to understand that her brother ate 4/5 of the remaining part, not of the entire cake, so we need to figure out the actual amount out of the entire cake first before calculating how much is left.

Amount of cake brother ate =
`(4)/(5)` × (
`(7)/(7)` -
`(2)/(7)`)

=
`(4)/(5)` ×
`(5)/(7)`

=
`(4)/(7)`

Amount of cake left =
`(7)/(7)` -
`(2)/(7)` -
`(4)/(7)`

=
`(1)/(7)`