Question

$\text{William equally divides his}\frac{1}{3}\text{acres of land}\text{between his 4 sons. If each of William's sons}\text{have two daughters, calculate the fraction of}\text{the land each daughter would inherit.}$

• A. $\frac{1}{24}acres$
• B. $\frac{3}{4}acres$
• C. $\frac{1}{12}acres$
• D. $\frac{1}{8}acres$

Answer 1

The correct option is A $\frac{1}{24}acres$

$\text{Area of William's land}=\frac{1}{3}\text{acres}$

$\text{Number of sons William has}=4$

$\text{Area of land each son inherits}=\frac{1}{3}÷4$

$\text{Calculating}\frac{1}{3}÷4\text{using the}keep-change-flip\text{method, we get:}$

$Step1:Keep\text{the fraction as it is}⟹\frac{1}{3}$

$Step2:Change\text{the division to multiplication}⟹\frac{1}{3}\times$

$Step3:Flip\text{the number to the right}⟹\frac{1}{3}\times \frac{1}{4}$

$=\frac{1\times 1}{3\times 4}=\frac{1}{12}$

$\therefore \text{The land inherited by each of the four}\text{sons is}\frac{1}{12}\text{acres.}$

$\text{Now, each son divides his portion of}\text{land equally between his 2 daughters.}$

$⟹\text{Land inherited by each daughter}=\frac{1}{12}÷2$

$\text{Calculating}\frac{1}{12}÷2\text{using the}keep-change-flip\text{method, we get:}$

$Step1:Keep\text{the fraction as it is}⟹\frac{1}{12}$

$Step2:Change\text{the division to multiplication}⟹\frac{1}{12}\times$

$Step3:Flip\text{the number to the right}⟹\frac{1}{12}\times \frac{1}{2}$

$=\frac{1\times 1}{12\times 2}=\frac{1}{24}$

$\therefore \text{The fraction of land that each daughter}\text{inherits is}\frac{1}{24}acres.$