What is (2-1/y)/(3+1/y) ?

The solution to (2-1/y)/(3+1/y) is (2y-1)/(3y+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2-1/y)/(3+1/y)

simplify

\frac{2 - \frac{1}{y}}{3 + \frac{1}{y}}

\frac{2 y - 1}{3 y + 1}

Solution steps

\frac{2 - \frac{1}{y}}{3 + \frac{1}{y}}

Join

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

= \frac{\frac{2 y - 1}{y}}{3 + \frac{1}{y}}

Join

3 + \frac{1}{y} : \frac{3 y + 1}{y}

= \frac{\frac{2 y - 1}{y}}{\frac{3 y + 1}{y}}

Apply the fraction rule:

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

= \frac{( 2 y - 1 ) y}{y ( 3 y + 1 )}

Cancel the common factor:

y

= \frac{2 y - 1}{3 y + 1}

- 2 x^{2} - 26 x + 28

64 x^{3} - 1000

(b - 1)^{2}

lo g_{4} (\frac{4}{8})

4 x^{2} 5 x^{4} \cdot 3 5 x^{8}