BECE Mathematics 2023 Paper

Change the mixed fractions to improper fractions.$22\,\frac{1}{2} = \frac{22 \times 2 + 1}{2}$$22\,\frac{1}{2} = \frac{44+1}{2}$$22\,\frac{1}{2} = \frac{45}{2}$$7\,\frac{1}{2} = \frac{7 \times 2 + 1}{2}$$7\,\frac{1}{2} = \frac{14+1}{2}$$7\,\frac{1}{2} = \frac{15}{2}$ Total time spent to school $= \frac{45}{2}$ minutes $+ \frac{15}{2}$ minutesTotal time spent to school $= \frac{45+15}{2}$ minutesTotal time spent to school $= \frac{60}{2}$ minutesTotal time spent to school $=30$ minutes Method IThe entire minutes spent to school is $100\%$.$\text{If } 30 \text{ minutes } = 100\%$$\frac{45}{2} \text{ minutes } = \frac{45}{2} \times 100\% \div 30$2 divides itself once and 100, 50 times.$\frac{45}{2} \text{ minutes } = \frac{45 \times 50\%}{30}$$\frac{45}{2} \text{ minutes } = 15 \times 5\%$Note: The zero in 50 and 30 cancel each other. 3 divides itself once and 45,15 times.$\frac{45}{2} \text{ minutes } = 75\%$ Method IIPercentage $= \frac{\text{Number}}{\text{Total}} \times 100\%$Percentage $($ walking $) = \frac{45}{2} \div 30 \times 100\%$Every number is being divided by 1$30 = \frac{30}{1}$Percentage $($ walking $) = \frac{45}{2} \div \frac{30}{1} \times 100\%$Change the division sign to multiplication and reciprocate the fraction. $\text{Percentage}(\text{walking}) = \frac{45}{2} \times \frac{1}{30} \times 100\%$Note: The zero in 30 and 100 cancels each other. 3 divides itself once and 45,15 times. 2 divides itself once and 10, 5 times.Percentage $($ walking $) = 15 \times 1 \times 5\%$Percentage $($ walking $) = 75\%$