What is (x+7}{x+3}-\frac{x-1)/x ?

The solution to (x+7}{x+3}-\frac{x-1)/x is (5x+3)/(x(x+3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x+7}{x+3}-\frac{x-1)/x

simplify

\frac{x + 7}{x + 3} - \frac{x - 1}{x}

\frac{5 x + 3}{x ( x + 3 )}

Solution steps

\frac{x + 7}{x + 3} - \frac{x - 1}{x}

Least Common Multiplier of

x + 3, x : x (x + 3)

Adjust Fractions based on the LCM

= \frac{( x + 7 ) x}{x ( x + 3 )} - \frac{( x - 1 ) ( x + 3 )}{x ( x + 3 )}

Apply the fraction rule:

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

= \frac{( x + 7 ) x - ( x - 1 ) ( x + 3 )}{x ( x + 3 )}

Simplify

(x + 7) x - (x - 1) (x + 3) : 5 x + 3

= \frac{5 x + 3}{x ( x + 3 )}

(\frac{3 a ^{2}}{4 b})^{4}

32 + 48 - 18

24 - \frac{1}{3}

\frac{6}{48}

4 \times 5

What is (x+7}{x+3}-\frac{x-1)/x ?
The solution to (x+7}{x+3}-\frac{x-1)/x is (5x+3)/(x(x+3))