Question

1/f=1/a+1/b solve for f

Answer 1

1/f = 1/a+1/b
RHS= b+a/ab (taking LCM)
Cross-multiplication: 1/f=a+b/ab
=>ab=(a+b)f
=>f=ab/a+b

Answer 2

The value of the equation is
`f=(ab)/(b+a)`.

Explanation:

Consider the provided equation.

`(1)/(f)=(1)/(a)+(1)/(b)`

We need to solve the provided equation for f.

Find the least common multiplier.

Multiply by LCM = a b f

`(1)/(f)abf=(1)/(a)abf+(1)/(b)abf`

`f\left(b+a\right)=ab`

Divide both sides by b+a.

`(f\left(b+a\right))/(b+a)=(ab)/(b+a)`

`f=(ab)/(b+a)`

Hence, the value of the equation is
`f=(ab)/(b+a)`.