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(4+(2/x))/(6+(3/x))
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\[\large{\frac{(4 \times \frac{x}{x})+\frac{2}{x}}{(6 \times \frac{x}{x})+\frac{3}{x}}}\]
\[=\huge{\frac{\frac{4x+2}{{\cancel{x}}}}{\frac{6x+3}{{\cancel{x}}}}}\]
maybe \[\frac{2}3 \]
\[=\huge{\frac{2(2x+1)}{3(2x+1)}}\]
=\[=\huge{\frac{2}{3}}\]
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