if 1/4 + 1/x = 1 then x=?

Question

Please give a reason why?

Answer 1

Most teachers want you to solve this by making common denominators and then cancelling out those denominators.

1/4 + 1/x = 1/1 common denominator of 4x

x/4x + 4/4x = 4x/4x if you multiply both sides by 4x you'd get

x + 4 = 4x

4 = 3x

4/3 = x

 

 

You can also solve it by subtracting 1/4 from bothe sides to get

1/x = 3/4 cross multiply to get

3x = 4

x = 4/3

 

Hope this helps.