Question

mrs.smith owned one square mile of land. when she moved she gave an equal part of the land to her 3 children,amy,brianna ,and chad. amy decided to divide her portion of the land equally between her 2 children. brianna kept her land. while chad divided his land equally among his 6 children. what fraction of mrs. smith's land did one of amy's children own? what fraction of the land did one of chad's children own

Answer 1

Mrs.smith divided one square mile of land to her 3 children,amy,brianna ,and chad.

1 mile is divided among each children . so the fraction of land each one get is
`(1)/(3)`

Amy's land =
`(1)/(3)`

Brianna's land =
`(1)/(3)`

Chad's land =
`(1)/(3)`

Amy decided to divide her portion of the land equally between her 2 children.

We know Amys land = 1/3

1/3 is divided among two children so we divide the fraction by 2

`((1)/(3))/(2)`=
`(1)/(3) * (1)/(2)`

=
`(1)/(6)`

`(1)/(6)` fraction of mrs. smith's land one of amy's children own.

Chad divided his land equally among his 6 children

We know Amys land = 1/3

1/3 is divided among 6 children so we divide the fraction by 6

`((1)/(3))/(6)`=
`(1)/(3) * (1)/(6)`

=
`(1)/(18)`

`(1)/(18)` fraction of mrs. smith's land one of Chad's children own.