Question

How would you solve:

1/2 + 1/3 = 1/x ? Can anyone help guide me through it so I can figure out how to do the others? Thanks.

Answer 1

\[\Huge \frac{1}{2}+\frac{1}{3}=\frac{1}{x}\]
Solve LHS by taking LCM.

Answer 2

Take LCM of the denominators .

Answer 3

6x right?

Answer 4

No.

Answer 5

LCM of 2 and 3 = 6 only

Answer 6

Now, multiply the LCM of 2 and 3 both sides :

\((\cfrac{1}{2} +\cfrac{1}{3})\times \color{blue}{6} = \cfrac{1}{x} \times \color{blue}{ 6}\)

Answer 7

oh ok I see so once we multiply LCM we would have 3/6 + 2/6 = 1/x which equals 5/6 = 1/x right?

Answer 8

1/x=5/6
x=?

Answer 9

Thanks once u cross multiply and solve for x it's x=6/5 :) Thanks 4 guiding me guys :D

Answer 10

Yes x = 6/5