Question

$1\text{litre}$ of milk is equally distributed among six containers. Determine the quantity of milk in each container.

• A. $166.6\text{mL}$
• B. $166.\overline{6}\text{mL}$
• C. $0.1\overline{6}L$
• D. $\frac{500}{3}\text{mL}$

Answer 1

Answer: (B), (C), (D)

$\frac{500}{3}\text{mL}$

$1\text{liter}$ of milk is equally distributed among $6$ containers.
Each container will hold $\frac{1}{6}\text{liter}$ of milk.

We know $1\text{L}=1,000\text{mL}$
$\therefore$ Each container will hold $\frac{1000}{6}\text{mL}$ of milk.

$\frac{1000}{6}\text{mL}=\frac{2\times 500}{2\times 3}\text{mL}=\frac{500}{3}\text{mL}$

Let's divide $500\text{mL}$ by $3$ using long division.
$\frac{500}{3}\text{mL}=\mathrm{166.66...}\text{mL}$
It is a non-terminating and repeating decimal number.
$\mathrm{166.66...}\text{mL}$ is represented as $166.\overline{6}\text{mL}.$

On converting $166.\overline{6}\text{mL}$ into litre, we get:
$166.\overline{6}\text{mL}=\frac{166.\overline{6}}{1000}\text{L}=0.1\overline{6}\text{L}$