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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

Join

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

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

Join

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

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

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

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

Apply the fraction rule:

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

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

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

Cancel the common factor:

x

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

- (\frac{36}{49})^{\frac{1}{2}}

\frac{1 - i}{1 + 3 i}

∣ 1 - 5 x ∣ = 1

2 a^{2} + a

m^{2} - 3 m + mn - 3 n

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