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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

\frac{( y + 2 x ) x}{y ( - x + 2 y )}

Solution steps

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

Join

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

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

Join

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

= \frac{\frac{y + 2 x}{y}}{\frac{- x + 2 y}{x}}

Apply the fraction rule:

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

= \frac{( y + 2 x ) x}{y ( - x + 2 y )}

(\frac{1}{5})^{- 1}

5 x^{2} - x + 2 = 0

(- 8)^{- 1}

12 p^{2} + 20 p - 8

(2 x^{4} y^{4})^{3}

What is ((2x)/y+1)/((2y)/x-1) ?
The solution to ((2x)/y+1)/((2y)/x-1) is ((y+2x)x)/(y(-x+2y))