en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

\frac{1}{2 x y}

Solution steps

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

Join

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

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

Apply the fraction rule:

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

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

Cancel

\frac{y + x}{x y ( 2 x + 2 y )} : \frac{1}{x y \cdot 2}

= \frac{1}{x y \cdot 2}

= \frac{1}{2 x y}

Popular Examples

simplify 3\times 1/5 simplify

3 \times \frac{1}{5}

simplify x^2\times 1/x simplify

x^{2} \times \frac{1}{x}

simplify sqrt(20x^7)simplify

20 x^{7}

simplify 7\times 15 simplify

7 \times 15

simplify 8ab+9ab simplify

8 ab + 9 ab

Frequently Asked Questions (FAQ)

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