BECE Mathematics 2023 Paper

Method ILet $x=$ the total landOf means multiplicationTony shared $\frac{2}{3}$ of his plot of landLand shared $=\frac{2}{3} \times x = \frac{2x}{3}$Plot of land received by each $=\frac{2x}{3} \div 3$Every number is divisible by 1.$3 = \frac{3}{1}$ Plot of land received by each $=\frac{2x}{3} \div \frac{3}{1}$Reciprocate (the numerator becomes denominator and the donominator becomes the numerator) the fraction after the division sign and change the division sign to multiplication.Plot of land received by each $=\frac{2x}{3} \times \frac{1}{3}$Plot of land received by each $=\frac{2 \times \times 1}{3 \times 3}$Plot of land received by each $=\frac{2x}{9}$Fraction $=\frac{\text{Number}}{\text{Total}}$Fraction of plot of land received by each $=\frac{2x}{9} \div x = \frac{2}{9}$ Method IIFraction for the entire plot of land =1Of means multiplicationTony shared $\frac{2}{3}$ of his plot of landFraction of land shared $=\frac{2}{3} \times 1 = \frac{2}{3}$Fraction received by each $=\frac{2}{3} \div 3$Every number is divisible by 1 .$3 = \frac{3}{1}$Fraction received by each $=\frac{2}{3} \div \frac{3}{1}$ Reciprocate (the numerator becomes denominator and the denominator becomes the numerator) the fractionafter the division sign and change the division sign to multiplication. Fraction received by each $=\frac{2}{3} \times \frac{1}{3}$Fraction received by each $=\frac{2 \times 1}{3 \times 3}$Fraction received by each $=\frac{2}{9}$