2.Sederhanakan pecahan bersusun berikut.
a.) 1/x-1/y/per/1/x+1/y.
b.) a-2/b/per/a+4/b .
c.)x^2-4/3 /per/ x-2 .
d.)1-1/1 1-/2x-1

[tex]$\begin{align}a.)~~~~\frac{ \frac{1}{x} - \frac{1}{y}}{ \frac{1}{x} + \frac{1}{y} } &= \frac{ \frac{y-x}{xy} }{ \frac{y+x}{xy} } \\&= \frac{y - x}{y + x} \end{align}[/tex]

[tex]$\begin{align}b.)~~~~ \frac{a - \frac{2}{b} }{a + \frac{4}{b} } &= \frac{ \frac{ab - 2}{b} }{ \frac{ab + 4}{b} } \\&= \frac{ab-2}{ab+4} \end{align}[/tex]

[tex]$\begin{align}c.)~~~~ \frac{ \frac{x + 2}{x^2 - 4}}{ \frac{3}{x - 2} } &= \frac{ \frac{(x + 2)}{(x + 2)(x - 2)} }{ \frac{3}{x - 2} } \\ &= \frac{ \frac{1}{x - 2} }{ \frac{3}{x - 2} } \\&= \frac{1}{3} \end{align}[/tex]

[tex]$\begin{align}d.)~~~~ 1 - \frac{1}{1 - \frac{1}{2 - \frac{2x + 1}{2x - 1} } } &= 1 - \frac{1}{1 - \frac{1}{ \frac{2x - 3}{2x - 1} } } \\ &= 1 - \frac{1}{1 - \frac{2x - 1}{2x - 3} } \\ &= 1 - \frac{1}{ \frac{-2}{2x - 3} } \\ &= 1 + \frac{3 - 2x}{2}\\ &= \frac{5 - 2x}{4} \end{align}[/tex]