if 1/X = 12/25 what is X and how do you find it?

Question

plz help im lost really really really lost i mean x has to be a fraction right but can there be a fraction within a fraction

Answer 1

Yes, in maths, there can be a fraction within a fraction. In fact, as you learn more, there can almost always be a whatever within a whatever. Hope this prepares you better rather than scares you off :)

1/X = 12/25
1/(12/25) = X
X = 1/(12/25)
X = 1 * 25/12 = 25/12
alternatively:
1/X = 12/25
1/(1/X) = 1/(12/25)
1 * X = 1 * 25/12
X = 25/12

ps:
For someone who ask question at this level, I doubt she/he knows about the inverse of a function/operation.
'.. an equation 1/4 ...' is wrong as it is not an equation, but an expression.
How can maths teachers still teach 'cross multiply', which is not a mathematics procedure, but a text rearrangement!

Answer 2

An equation like 1/4 just means to divide 1 by 4 which of course equals .25

Answer 3

Start with:
1/X = 12/25

cross-multiply to get:
X*12 = 1*25

then divide both sides by 12 to get:
X = 25/12

Answer 4

x equals 25/12 because you just take the inverse(^-1) of each side of the equation, making x/1(or just x) equal 25/12