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1/p+1/q=1/f solve for p
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q/pq +p/pq=1/f (P+q)/pq=1/f
cross multiply
p+q/pq=1/f p+q=pq/f p=(pq/f) - q
1/p+1/f=1/q subtract 1/f from both sides 1/p = 1/q-1/f cross multiply right hand side 1/p = (q-f)/qf invert both sides (1/???) p=qf/(q-f)
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