Question

*math please help* Simplify.

Answer 1

$Given : \frac{\frac{4x}{5 + x}}{\frac{6x}{x + 2}}$

$\implies \frac{4x}{5 + x}\times\frac{x + 2}{6x}$

$\implies \frac{2}{x + 5}\times\frac{x + 2}{3}$

$\implies \frac{2(x + 2)}{3(x + 5)}$

$\implies \frac{2x + 4}{3x + 15}$

Answer 2

$\frac{ \frac{4x}{5 + x} }{ \frac{6x}{x + 2} } \\ = \frac{4x}{5 + x } ( \frac{x + 2}{6x} )$
$= \frac{4x^{2} + 8x}{30x + {6x}^{2} } \\ = \frac{2x(2 {x} + 4) }{2x(3 {x}+ 15)} \\ = \frac{2 {x} + 4 }{3 {x} + 15}$