How do I simplify by removing the factor of 1 ?

Question

This is the problem 4t^2+4t/20t^2+16t? I would really appreciate if someone could give me a step by step! Thanks in advance for any and all responses!

Answer 1

Assuming (4t^2+4t)/(20T^2+16T)

divide out 4

(t*2+t)/(5t^2+4t)

divide out a t

t(t+1)/(5t+4)

                

Answer 2

I assume you mean it's one big fraction, with 4t^2+4t on the top and 20t^2+16t on the bottom.

Then you can factor the numerator as (4t)(t+1) and the denominator as (4t)(5t+4). Then you have (4t) on the top and on the bottom, which means you're dividing it by itself, which gives you 1.

So you're left with t+1 on the top and 5t+4 on the bottom.