Please help solve
5/6r = 4 3/5

First, what I like to do is to deal with improper fractions. So I'm going to change 4 3/5 to 23/5. 

5/6r = 23/5

Now all you have to do is to divide both sides by 5/6, because you want the r variable by itself. You can divide fractions just by inverting and multiplying.

5/6r • 6/5 = 23/5 • 6/5

r = 138/25

However, that is an improper fraction, so I'll change it back into a mixed number for you!

r = 5 13/25

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