NECO 2024 · Paper 1 · Q19

Solve the equation $\dfrac{4x}{5} - \dfrac73 = \dfrac{5x}{12}$ .

Worked solution (try it first)

Clear the fractions by multiplying every term by 60, the LCM of 5, 3 and 12: $48x - 140 = 25x$ .
Take $25x$ from both sides and add 140: $23x = 140$ .
Divide by 23: $23 \times 6 = 138$ leaves remainder 2, so $x = 6\frac{2}{23}$ , option D.