Question

Brittany is giving her sister 2/5 of her shell collection . How many 1/15s of her shell collection is she giving her sister?

Answer 1

Brittany is sharing number of
`(1)/(15)`s with her sister = 6

Explanation:

Let the shell collection of Brittany = x

She is giving
`(2)/(5)` of her shell collection to her sister.

Therefore, shells received by her sister =
`(2x)/(5)`

`(1)/(15)`th of her shell collection =
`(x)/(15)`

Number of
`(1)/(15)`s her sister received =
`\frac{\text{Total shells received by Brittany's sister}}{(1)/(15)th \text{part of Brittany's shells}}`

=
`((2x)/(5))/((x)/(15) )`

=
`(2x)/(5)* (15)/(x)`

= 6

Therefore, number of
`(1)/(15)` received by her sister = 6