Question

I’m not sure how to do this

Answer 1

`\bf \cfrac{(x+4)/(3)+(1)/(x)}{5+(15)/(x)}\qquad \cfrac{\impliedby (LCD)/(3x)}{\impliedby \stackrel{LCD}{x}}\implies \cfrac{\quad (x(x+4)+3(1))/(3x)\quad }{(x(5)+(1)15)/(x)}\implies \cfrac{\quad (x^2+4x+3)/(3x)\quad }{(5x+15)/(x)}`


`\bf \cfrac{x^2+4x+3}{3\underline{x}}\cdot \cfrac{\underline{x}}{5x+15}\implies \cfrac{x^2+4x+3}{3(5x+15)}\implies \cfrac{x^2+4x+3}{15x+45} \\\\\\ \cfrac{(x+3)(x+1)}{15x+45}\implies \cfrac{\underline{(x+3)}(x+1)}{15\underline{(x+3)}}\implies \cfrac{x+1}{15}`