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 $\frac{1}{3}$

Amy's land = $\frac{1}{3}$

Brianna's land = $\frac{1}{3}$

Chad's land = $\frac{1}{3}$

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

$\frac{\frac{1}{3}}{2}$= $\frac{1}{3} * \frac{1}{2}$

= $\frac{1}{6}$

$\frac{1}{6}$ 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

$\frac{\frac{1}{3}}{6}$= $\frac{1}{3} * \frac{1}{6}$

= $\frac{1}{18}$

$\frac{1}{18}$ fraction of mrs. smith's land one of Chad's children own.