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.