What is (4y-5)/2-(2y-1)/6 ?

The solution to (4y-5)/2-(2y-1)/6 is (5y-7)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4y-5)/2-(2y-1)/6

simplify

\frac{4 y - 5}{2} - \frac{2 y - 1}{6}

\frac{5 y - 7}{3}

Solution steps

\frac{4 y - 5}{2} - \frac{2 y - 1}{6}

Least Common Multiplier of

2, 6 : 6

Adjust Fractions based on the LCM

= \frac{( 4 y - 5 ) \cdot 3}{6} - \frac{2 y - 1}{6}

Apply the fraction rule:

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

= \frac{( 4 y - 5 ) \cdot 3 - ( 2 y - 1 )}{6}

Simplify

(4 y - 5) \cdot 3 - (2 y - 1) : 10 y - 14

= \frac{10 y - 14}{6}

Cancel

\frac{10 y - 14}{6} : \frac{5 y - 7}{3}

= \frac{5 y - 7}{3}

y = (2 x + 3) (x - 1) (x - 4)

y = x 8 - x^{2}

y = 2 (x + 1)^{2} - 3

f (x) = \frac{( x + 2 )}{( x - 3 )}

f (x) = x^{2} + 3 x - 12