help solving (1+(1/x))/(1/x)

Question

I need help learning how to do this problem step by step. I have a project to teach the class on how to divide functions and I understand.. I'm just stuck on this particular problem on how to solve it. Please and thankyou.

Answer 1

Dividing is the inverse process of multiplication, so anytime you divide by a fraction you can invert and multiply (which looks like below)

 

(1+(1/x))/(1/x)=(1+(1/x))*(x/1)   and x/1=x, so it can be simplified to (1+(1/x))*x

At this point its much simpler and you just have to distribute

(1+(1/x))*x = x*(1)+x*(1/x)  which becomes   x+1

 

so remember to "invert and multiply" to make division simpler, then it just requires distributing and simplifying.

(1+(1/x))/(1/x)=x+1