Solve for b: (1/t) = (1/a) + (1/b)

How to get answer by Mimiwhatsup:

Let's solve for b.

1/t = 1/a + 1/b

Step 1: Multiply both sides by t.

1 = at+bt/ab

Step 2: Multiply both sides by ab.

ab=at+bt

Step 3: Add - bt to both sides.

ab+-bt=at+bt+-bt

ab-bt=at

Step 4: Factor out variable b.

b (a-t) = at

Step 5: Divide both sides by a-t.

b (a-t) / a-t = at/a-t

b = at/a-t