[Very Easy] Factors, Divisors and Mechanical Advantage

[Wolfowitz]

Homework Statement

The mechanical advantage of a lever is 0.08; force is not amplified, it is simply diminished; distance, however, is increased:

Work input = Work output
F x d = F x d
F x d = 0.8F x ?(d)

This must be a really basic question, but I'm compelled to ask as I'm somewhat innumerate - what's 'd' multiplied or divided by for the equation to be true?

 

[NascentOxygen]

d is multiplied by 1/0.8
so that it cancels the 0.8 alongside the F
to leave you with F x d as before

which is the same as saying d is divided by 0.8, though, to me, not as clear.

 

[Wolfowitz]

Really? Presume f = 2, d = 4:

F x D = F x D
2 x 4 = 0.8(2) + 1.25(4)
8 = 1.6 + 5
8 = 6.6

?

 

[NascentOxygen]

Where did that addition operation spring from?