another math Q

[themrn]

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Simplify

1-1/[1+a/(1-a)]


answer... a

there is no explanation in the solution...

 

[Minion]

I got 2a. What number is this on the math destroyer ? I may have wrote the wrong equation. Again, haven't done any practice or review for math yet though.

 

[sakthivs]

ok so first simply (1+a/(1-a))....1 is the same as (1-a)/(1-a). Now add: (1-a)/(1-a) + a/(1-a) = 1/(1-a)

now put this back into the equation...1-1/(1/(1-a)) which is the same as. 1-(1-a)...which equals a.

 

[Minion]

Okay, I just redid this one after looking at the practice math destroyer test 12, number 28.

What you do is make sure that you try to work one step at a time. Lets work at 1 + a/(1-a) first.

Multiply the one with (1-a) to get the common denominator, and multiply the top like that too. You get (1-a)/(1-a) + a(1-a) that should give you (1/(1-a).

So now to have 1 / (1/(1-a)), with that it could turn into (1-a), so 1-(1-a) is equal to a.

Goodluck !

 

[themrn]

OHHH I GOT IT!!! THANK YOU!!!