What is 5/(r+3)+(2r)/(3r+12) ?

The solution to 5/(r+3)+(2r)/(3r+12) is (2r^2+21r+60)/(3(r+3)(r+4))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5/(r+3)+(2r)/(3r+12)

simplify

\frac{5}{r + 3} + \frac{2 r}{3 r + 12}

\frac{2 r ^{2} + 21 r + 60}{3 ( r + 3 ) ( r + 4 )}

Solution steps

\frac{5}{r + 3} + \frac{2 r}{3 r + 12}

Least Common Multiplier of

r + 3, 3 r + 12 : 3 (r + 3) (r + 4)

Adjust Fractions based on the LCM

= \frac{15 ( r + 4 )}{3 ( r + 3 ) ( r + 4 )} + \frac{2 r ( r + 3 )}{3 ( r + 3 ) ( r + 4 )}

Apply the fraction rule:

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

= \frac{15 ( r + 4 ) + 2 r ( r + 3 )}{3 ( r + 3 ) ( r + 4 )}

Simplify

15 (r + 4) + 2 r (r + 3) : 2 r^{2} + 21 r + 60

= \frac{2 r ^{2} + 21 r + 60}{3 ( r + 3 ) ( r + 4 )}

∣ - 23 ∣

\frac{12 k ^{7}}{( 4 k ) ^{4}}

18 + 112

\frac{3}{5} + \frac{1}{7}

10 - (- 12)

What is 5/(r+3)+(2r)/(3r+12) ?
The solution to 5/(r+3)+(2r)/(3r+12) is (2r^2+21r+60)/(3(r+3)(r+4))