Question

$\frac{3}{4}\text{ths of circular cake is shared equally among}\text{6 people. The share that each person gets is}$

• A. $\frac{3}{6}$
• B. $\frac{1}{6}$
• C. $\frac{6}{24}$
• D. $\frac{1}{8}$

Answer 1

The correct option is D $\frac{1}{8}$


$\text{The shaded region represents}\frac{3}{4}$

$⟹\text{Total share}=\frac{3}{4}$

$\text{Now, the total share is divided equally}\text{among 6 people.}$

$⟹\text{The share of the cake that each}\text{person gets}=\frac{3}{4}÷6$

$\text{Calculating}\frac{3}{4}÷6\text{using the}keep-change-flip\text{method, we get:}$


$\text{Calculating}\frac{3}{4}\times \frac{1}{6}\text{, we get:}$

$\frac{3}{4}\times \frac{1}{6}=\frac{3\times 1}{4\times 6}=\frac{3}{24}=\frac{3÷3}{24÷3}=\frac{1}{8}$

$\therefore \text{The share of cake that each person gets}\text{is}\frac{1}{8}.$