What is 1/(x+4)-1/4 ?

The solution to 1/(x+4)-1/4 is -x/(4(x+4))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(x+4)-1/4

simplify

\frac{1}{x + 4} - \frac{1}{4}

- \frac{x}{4 ( x + 4 )}

Solution steps

\frac{1}{x + 4} - \frac{1}{4}

Least Common Multiplier of

x + 4, 4 : 4 (x + 4)

Adjust Fractions based on the LCM

= \frac{4}{4 ( x + 4 )} - \frac{x + 4}{4 ( x + 4 )}

Apply the fraction rule:

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

= \frac{4 - ( x + 4 )}{4 ( x + 4 )}

Simplify

4 - (x + 4) : - x

= \frac{- x}{4 ( x + 4 )}

Apply the fraction rule:

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

= - \frac{x}{4 ( x + 4 )}

\frac{1}{7} - \frac{2}{5}

(3 x + 4)^{6}

3 11 a^{7} b

a^{4} b^{2} c^{4} - 16

\frac{3 x - 1}{5} + \frac{x + 2}{5}