Question

A) Simplify the expression a + a/a-1
b) Find its value at a = 0.1. In response, write down the number obtained.

Answer 1

a + a / (a - 1)

= a(a - 1) + a
-----------------
    (a - 1)

=  a^2 - a + a
   ---------------
       a -  1

=    a^2
    --------   Answer
     a - 1

When a = 0.1  it =   (0.1)^1 / 0.1 - 1  =  -0.0111  or -1/90 as a fraction