Question

Rearrange this equation to isolate C a=b(1/c-1/d)

Answer 1

Divide both sides by b:
a/b = 1/c - 1/d

add 1/d to both sides

a/b + 1/d = 1/c

combine the two fractions on the left into one

note that if x/y = 1/c

then c = y/x and use this principle on what you got above.

Answer 2

I understand everything except how to combine the fractions on the left.

Answer 3

a/b + 1/d = da/db + b/db = (da + b)/db so they have same denominator

next flip this and 1/c

Answer 4

so c =bd/ad+b ?