[tex] \frac{x}{4} + \frac{2x}{3} = \frac{x}{ {2}^{2} } + \frac{2x}{3} = \frac{3x + 4(2x)}{ {2}^{2} \times 3 } = \frac{3x + 4 \times 2x }{ {2}^{2} \times 3 } = \frac{3x + 8x}{ {2}^{2} \times 3 } = \frac{11x}{ {2}^{2} \times 3 } = \frac{11x}{4 \times 3} = \frac{11x}{12} [/tex]