Question

Kristofer has 18 days to finish a work. She has completed 6 days doing the work. Choose the correct option(s).

• A. Kristofer has completed $\frac{1}{3}$ of the work days.
• B. Kristofer has completed $\frac{2}{3}$ of the work days.
• C. Kristofer is left with $\frac{1}{3}$ of the work days.
• D. Kristofer is left with $\frac{2}{3}$ of the work days.

Answer 1

Answer: (A), (D)

Kristofer is left with $\frac{2}{3}$ of the work days.

Total work days of Kristofer $=18\text{days}$
Completed work days $=6\text{days}$

Fraction of the work days completed $=\frac{\text{Number of completed work days}}{\text{Number of total work days}}$
$=\frac{6}{18}$
$=\frac{6}{6\times 3}$
(cancelling $6$ from numerator and denominator)
$=\frac{1}{3}$

The total number of work days represented as a whole, i.e. $1$.

$\text{Fraction of the work days left}=1-\text{Fraction of completed work days}$

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