(16/7}{4/9}=\frac{9/14)/t

解答

\frac{\frac{16}{7}}{\frac{4}{9}} = \frac{\frac{9}{14}}{t}

t = \frac{1}{8}

十进制

t = 0.125

求解步骤

\frac{\frac{16}{7}}{\frac{4}{9}} = \frac{\frac{9}{14}}{t}

使用分式交叉相乘

32 t = 4

两边除以

32

t = \frac{1}{8}

验证解

找到无定义的点（奇点）:

t = 0

将不在定义域的点与解相综合:

t = \frac{1}{8}

(\frac{x}{( x + 5 )}) - (\frac{11 x}{( 11 x - 8 )}) + (\frac{7}{( 6 - 4 x )}) = 0

x^{- 4} - 6 x^{- 2} + 8 = 0

\frac{( x ) ^{2}}{( ( \frac{4}{5} ) ^{- 4} )} = (\frac{1}{x})^{2}

\frac{1}{( x + 1 )} + \frac{3}{( x + 4 )} = \frac{4}{( x + 3 )}

so l v e f or x, \frac{1}{( 2 x )} + \frac{1}{( 3 y )} = 2