Question

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

Answer 1

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

Explanation:

Given

`(1)/(a)` +
`(1)/(b)` =
`(1)/(x)` ( express the sum on the left as a single fraction )

`(b+a)/(ab)` =
`(1)/(x)` ( cross- multiply )

x(b + a) = ab ← divide both sides by (b + a)

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