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

X = 25/12

The reciprocal of X is 1/X, so the reciprocal of 12/25 is 25/12.

Answer 2

There is going to be a fraction in a fraction, because that is how the answer works out. The other people are telling you the answer... how about I tell you how to get it so you can answer others like this?

Cross-multiply, man, cross-multiply. Since you know that
1/x = 12/25
you can take the top (numerator) of one fraction and multiply it by the bottom (denominator) of the other and keep the equality.

What?!? Multiply the x by 12 and the 25 by 1 (top of one and bottom of other, see?) and keep the equal sign to get
12x = 25
and then divide both sides by 12 to get
x = 25/12
But you can do this for just about any other two fractions that equal each other and have an x somewhere in there, like
3/x = 7/13
If you cross-multiply, you'll get
7x = 39
and then
x = 39/7.

Yay math.

Answer 3

x = 25/12