Solve 3/5k-5=7/100 by eliminating the fraction

I assume you meant to type the following:

3 / (5k-5) = 7/100

When we multiply both sides by (100) (5k - 5), we get this:

300 = 7 (5k - 5)

300 = 35k - 35

300 - 35 = 35k

265 = 35k

265/35 = k