What is (2x+1)/2-(4x-1)/6 ?

The solution to (2x+1)/2-(4x-1)/6 is (x+2)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2x+1)/2-(4x-1)/6

simplify

\frac{2 x + 1}{2} - \frac{4 x - 1}{6}

\frac{x + 2}{3}

Solution steps

\frac{2 x + 1}{2} - \frac{4 x - 1}{6}

Least Common Multiplier of

2, 6 : 6

Adjust Fractions based on the LCM

= \frac{( 2 x + 1 ) \cdot 3}{6} - \frac{4 x - 1}{6}

Apply the fraction rule:

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

= \frac{( 2 x + 1 ) \cdot 3 - ( 4 x - 1 )}{6}

Simplify

(2 x + 1) \cdot 3 - (4 x - 1) : 2 x + 4

= \frac{2 x + 4}{6}

Cancel

\frac{2 x + 4}{6} : \frac{x + 2}{3}

= \frac{x + 2}{3}

(3 x - 3)^{2}

\frac{9}{36}

(x - 1)^{5}

12 \times 12

- 121