Question

Hey guys please help with this questoin Find (x+y) ÷ (x-y) if x=5/4 y=-1/3​

Answer 1

199/144

Explanation:

(5/4-1/3)(5/4+1/3)

25/16-1/9

(135-16) /144

119/144

Answer 2

11/19

Explanation:

`((5)/(4) + (-(1)/(3))) / ((5)/(4) - (-(1)/(3)))\\\\((5)/(4)+\left(-(1)/(3)\right))/((5)/(4)-\left(-(1)/(3)\right))\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a\\=((5)/(4)-(1)/(3))/((5)/(4)+(1)/(3))\\\\\mathrm{Join}\:(5)/(4)+(1)/(3):\quad (19)/(12)\\\mathrm{Join}\:(5)/(4)-(1)/(3):\quad (11)/(12)\\\\=((11)/(12))/((19)/(12))\\\\=(11*\:12)/(12* \:19)`

= 11/19