Which expression is equivalent to the following complex fraction? (2-1/y)/(3+1/y)

1 answer:

5 0

$\dfrac{2-\frac{1}{y}}{3+\frac{1}{y}}=\left(2-\dfrac{1}{y}\right):\left(3+\dfrac{1}{y}\right)=\left(\dfrac{2y}{y}-\dfrac{1}{y}\right):\left(\dfrac{3y}{y}-\dfrac{1}{y}\right)\\\\=\dfrac{2y-1}{y}:\dfrac{3y+1}{y}=\dfrac{2y-1}{y}\cdot\dfrac{y}{3y+1}=\dfrac{2y-1}{3y+1}$

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