n=1/a-1/b solve for b please show all steps

To solve for b in the equation n = 1/a - 1/b, follow these steps:

Step 1: Get rid of the fractions by finding a common denominator. Multiply both terms by the least common multiple (LCM) of a and b. The LCM of a and b is ab.

n * ab = 1/a * ab - 1/b * ab

Simplifying this equation gives nab = b - a.

Step 2: Move the term with b to one side of the equation by adding a to both sides.

nab + a = b - a + a

This simplifies to nab + a = b.

Step 3: Rearrange the equation to isolate b.

b = nab + a

Therefore, the solution for b is b = nab + a.

You can now substitute the known values of n and a to find the numerical value of b.