Solve for b 1/a+1/b=c

Problem

1/a+1/b=c

Solution

1. Isolate the term containing b by subtracting 1/a from both sides of the equation.

1/b=c−1/a

2. Find a common denominator for the terms on the right side to combine them into a single fraction.

1/b=(a*c)/a−1/a

3. Combine the fractions on the right side.

1/b=(a*c−1)/a

4. Invert both sides of the equation to solve for b

b=a/(a*c−1)

Final Answer

1/a+1/b=c⇒b=a/(a*c−1)

Want more problems? Check here!