Question

Given that an equation is 1/54x = 1/9, what would x be?

Answer 1

If two fractions are equal to each other, then their inverses must be equal as well:

`(a)/(b) = (c)/(d) \implies (b)/(a) = (d)/(c)`

So, we have

`(1)/(54x) = (1)/(9) \implies 54x = 9`

Now divide both sides by 54:

`x = (9)/(54) = (1)/(6)`

Note:

Given the slightly ambiguous way the question is written, you may also mean

`(1)/(54)\; x = (1)/(9)`

In this case, simply multiply both sides by 54:

`x = (54)/(9) = 6`