Question

Maria ate 1/3 of a pie her sister Rebecca ate 1/5 of that what fraction of the whole pie did Rebecca eat

Answer 1

Answer:1/5

Explanation:

Answer 2

Rebecca ate
`(1)/(15)` th of a pie.

Solution:

Let assume quantity of a pie = x

Given that Maria ate
`(1)/(3)` of a pie

Which means quantity of pie which Maria ate =
`(1)/(3) of x`

=
`(1)/(3) * x = (x)/(3)`

Quantity of pie Rebecca ate is
`(1)/(5)` of what Maria ate

Which means quantity of pie Rebecca ate =
`(1)/(5)` of (quantity of pie which Maria ate)

=
`(1)/(5) of (x)/(3)`

=
`(1)/(5) * (x)/(3)`

=
`(x)/(15)`

Fraction of whole pie Rebecca eat = quantity of pie Rebecca ate divide by total quantity

= (x/15) divided by x =
`(1)/(15)`

Hence Rebecca ate
`(1)/(15)` th of a pie.