BECE Mathematics 2020 Paper

Concept:To find what fraction one quantity is of another, divide the part by the total after converting both to the same unit.Explanation:Here, the part is 18 days and the total is 3 weeks.First, convert 3 weeks into days because 18 days is already in days.$1$ week $= 7$ days.So, $3$ weeks $= 3 \times 7 = 21$ days.Now the required fraction is:$$\frac{18 \text{ days}}{21 \text{ days}} = \frac{18}{21}$$Simplify by dividing numerator and denominator by their common factor, $3$:$$\frac{18 \div 3}{21 \div 3} = \frac{6}{7}$$Therefore, 18 days is $\frac{6}{7}$ of 3 weeks.Answer:$$\frac{6}{7}$$