Solve the given formula for the specified variable. \[ \frac{1}{q}+\frac{1}{s}=\frac{1}{b} \text { for } b \] \( b=\square \) (Simplify your answer.)

Solve the equation \( \frac{1}{q}+\frac{1}{s}=\frac{1}{b} \) for \( b \). Solve the equation by following steps: - step0: Solve for \(b\): \(\frac{1}{q}+\frac{1}{s}=\frac{1}{b}\) - step1: Swap the sides: \(\frac{1}{b}=\frac{1}{q}+\frac{1}{s}\) - step2: Multiply both sides of the equation by LCD: \(\frac{1}{b}\times qsb=\left(\frac{1}{q}+\frac{1}{s}\right)qsb\) - step3: Simplify the equation: \(qs=sb+qb\) - step4: Swap the sides: \(sb+qb=qs\) - step5: Simplify: \(\left(s+q\right)b=qs\) - step6: Divide both sides: \(\frac{\left(s+q\right)b}{s+q}=\frac{qs}{s+q}\) - step7: Divide the numbers: \(b=\frac{qs}{s+q}\) The solution to the equation \( \frac{1}{q}+\frac{1}{s}=\frac{1}{b} \) for \( b \) is \( b = \frac{qs}{s+q} \).