What is (2+1/y)/(3-2/y) ?

The solution to (2+1/y)/(3-2/y) is (2y+1)/(3y-2)

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simplify (2+1/y)/(3-2/y)

simplify

\frac{2 + \frac{1}{y}}{3 - \frac{2}{y}}

\frac{2 y + 1}{3 y - 2}

Solution steps

\frac{2 + \frac{1}{y}}{3 - \frac{2}{y}}

Join

2 + \frac{1}{y} : \frac{2 y + 1}{y}

= \frac{\frac{2 y + 1}{y}}{3 - \frac{2}{y}}

Join

3 - \frac{2}{y} : \frac{3 y - 2}{y}

= \frac{\frac{2 y + 1}{y}}{\frac{3 y - 2}{y}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( 2 y + 1 ) y}{y ( 3 y - 2 )}

Cancel the common factor:

y

= \frac{2 y + 1}{3 y - 2}

\frac{1}{3} - \frac{7}{6}

(- 5 g^{2} h^{6})^{3}

x^{3} + 6 x^{2} + 9 x + 54

10 \cdot 40

26.1 4^{2} + 0. 9^{2}