Question: If x3+x5=1615\frac{x}{3} + \frac{x}{5} = \frac{16}{15}3x+5x=1516, find the rational number xxx. Answer: Verified Take LCM 15 on LHS: 5x+3x15=1615\frac{5x + 3x}{15} = \frac{16}{15}155x+3x=1516 8x15=1615\frac{8x}{15} = \frac{16}{15}158x=1516 ⇒8x=16\Rightarrow 8x = 16⇒8x=16 ⇒x=2.\Rightarrow x = 2.⇒x=2.