Next step after fraction rule?

[fathom drum]

Im guessing you are supposed to use the fraction rule a/b/c = a*c/b but then i get stuck please help

[grizzled torrent]

(a/b)+(c/d)=((ad+bc)/(bd)), try using that for the top

Also, remember x=x/1

[paper haven]

$\frac{\frac{4x+3}{3}}{\frac{3}{x}} + \frac{x}{\frac{3}{x}}$

[brazen tundra]

martin(ping-me-when-reply)

[paper haven]

multiply by the reciprocial of the fractions you are diving by to get

$\frac{4x+3}{3}\times\frac{x}{3} + \frac{x}{1}\times\frac{x}{3}$

[brazen tundra]

martin(ping-me-when-reply)

[paper haven]

simplify

$\frac{x(4x+3)}{9}+\frac{x^2}{3}$

[brazen tundra]

martin(ping-me-when-reply)

[paper haven]

find LCD of 9 to add

multiply second fraction by 3

$\frac{x(4x+3)}{9}+\frac{3x^2}{9}$

[brazen tundra]

martin(ping-me-when-reply)

[paper haven]

$\frac{x(4x+3)+3x^2}{9}$

[brazen tundra]

martin(ping-me-when-reply)

[paper haven]

expand the top to simplify

$\frac{4x^2+3x+3x^2}{9}$

[brazen tundra]

martin(ping-me-when-reply)

[paper haven]

$\frac{7x^2+3x}{9}$

[brazen tundra]

martin(ping-me-when-reply)

[paper haven]

factor our x for simple answer

$\frac{x(7x+3)}{9}$

[brazen tundra]

martin(ping-me-when-reply)

[paper haven]

idk if you alr got the answer I was just tryna practice my latex