transforming rates (Schweser doesnt explicitly teach this)

Someone please explain and show me the formula that you generally use to:

  1. Transforming Nominal to Real rates, and vise versa?

  2. Transforming RFRs to Ctn Cmp RFRs?

I cant seem to find them, and i know that this is fair game for the exam

Real to Nominal & Nominal to Real

(1 + rnom) = (1 + rreal)(1 + inflation)

(1 + rreal) = (1 + rnom) / (1 + inflation)

Annual Continuously Compounded to Annual Effective & Annual Effective to Annual Continuously Compounded

1 + EAR = ercont

rcont = ln(1 + EAR)

the magician! thanks!